Use the figure for Exercises 2 and 3. You can help us out by revising, improving and updating If they are, state your reasoning. Geometry: Common Core (15th Edition) answers to Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 160 10 including work step by step written by community members like you. 8a-12 =20 4 3. x-30 +4x +80 =180 26 4. Two highlighters even better. Draw a diagram to represent the converse. Practice Level B 1. yes; Consecutive Interior Angles Converse 2. Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 160: 8, Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Lesson Check - Page 160: 6. (Hint: The angle measures may change for each problem, and the figure is for reference only.) Y j2t0 s1 c17 bkguntaf us cozf otkw9a qr5e x 0lbl 7cv. Parallel and Perpendicular Lines - 3-1 Lines and Angles - Lesson Check, Parallel and Perpendicular Lines - 3-1 Lines and Angles - Practice and Problem-Solving Exercises, Parallel and Perpendicular Lines - 3-1 Lines and Angles - Apply What You've Learned, Parallel and Perpendicular Lines - Concept Byte. Proving that lines are parallel: All these theorems work in reverse. Use what you know about parallel lines and angle measures to find the sum of the measures of the four angles inside the parallelogram. £9 Lil 5 + mL12 = 180 onsecu+Ñe (4x- 10)0 (3x + 10)0 q -10 910 16 15 40.201 ines are qt-øes are 3. Lesson 3-3: Rate of Change and Slope 1. Expected Learning Outcomes The students will be able to: 1) Prove that two or more lines are parallel. 3 3 proving lines parallel worksheet answers together with proving lines parallel worksheet. Chapter 3 : Perpendicular and Parallel Lines 3.3 Problem Solving Help. Section 3.2 Parallel Lines and Transversals 133 Using Properties of Parallel Lines Find the value of x. a b 4 115° (x + 5)°SOLUTION By the Vertical Angles Congruence Theorem (Theorem 2.6), m∠4 = 115°.Lines a and b are parallel, so you can use the theorems about parallel lines. I strongly recommend downloading the preview file to see examples of the way my animatio dev2020.bakhtarnews.com.af lesson 3 5 practice a Answer Key Lesson 3.5 Practice Level A 1. y 5 2x 1 3 2. y 5 x 1 1 3. y 5 4x 1 2 4. y 5 3x 2 2 5. y 5 26x 1 4 6.y 5 1} 2 x 2 5 7. 1. Not affiliated with Harvard College. You already know the relationship between vertical angles. Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Got It? 2. 3.3 Prove Lines are Parallel 161 3.3 Prove Lines are Parallel Postulate 16 below is the converse of Postulate 15 in Lesson 3.2. Download a printable version of the notes here. • Lessons 3-3 and 3-4 Use slope to analyze a line and to write its equation. angles b n e; corr. Tell whether lines m and n must be parallel from the given information. Given: m∠3 = 12x°, m∠5 = 18x°, x = 6 5. this answer. q || r Converse of the Corresponding Angles Postulate Given: m∠2 = 3x°, m∠4 = (x + 50)°, x … The Converse of the Corresponding Angles Theorem tells us that if $\angle2\cong\angle 10$, then $l\parallel m$ because these angles are in the same place relative to where the transversal intersects lines l and m. Copyright © 1999 - 2021 GradeSaver LLC. Sample answer: No; AP is skew to RS and RS is skew to AD, but AP is not skew to AD. Explain your answer. Lesson 3.3: Help for Exercises 27-29 on pages 147-148. DM me your math problems! (Hint: The angle measures may change for each problem, and the figure is for reference only.) Lesson topic: 3-3 Proving Lines Parallel (aligned to Pearson Geometry Common Core 2015, Section 3.3) This 9-slide PowerPoint presentation has been made using quality graphics and lesson-enhancing animations. The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel. If they are, state your reasoning. Lesson 11-5: Proving Lines Parallel 1. Problem Solving Workshop: Mixed Problem Solving 1. a. After you claim an answer you’ll have 24 hours to send in a draft. Parallel and Perpendicular Lines - 3-2 Properties of Parallel Lines - Got It? Proving Lines Parallel continued You can also prove that two lines are parallel by using the converse of any of the other theorems that you learned in Lesson 3-2. 3.2 Angles Formed by a Transversal If I can give you one piece of of advice it would be to have a highlighter for this lesson. Problems include the completion proofs and finding the values of missing angles to make a pair of lines parallel. Proving Lines Are Parallel Practice and Problem Solving: A/B Use the figure for Problems 1–8. Determine the truth value of the converse. Page 1 of 3 Answers: Chapter 3 Parallel and Perpendicular Lines Lesson 3-3 Proving Lines to the same l are O. Vert. ' Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Lesson Check, Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises. CR = 17; PQ = 15 3. a. mn⊥ b. m 1 90 ; m 2 90∠ =° ∠=° c. Def. The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel. Lesson Resources: 3.1 Lines and Angles 3.2 Proof and Perpendicular Lines 3.3 Parallel Lines and Transversals 3.4 Proving Lines are Parallel 3.5 Using Properties of Parallel Lines 3.6 Parallel Lines in the Coordinate Plane 3.7 Perpendicular Lines in the Coordinate Plane This improves students’ familiarity with the answer formats they may encounter in test taking. among guides you could enjoy now is lesson 3 5 practice a proving lines parallel answers below. Tell whether lines m and n must be parallel from the given information. Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Got It? are O. l1 Ol4 If corresp. ' Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises. • parallel lines … Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Got It? Proving Lines Parallel You can use the Converse of the Corresponding Angles Postulate to show that two lines are parallel. The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel. angles AC n BD; corr. Justify your conclusion. Answer Key. will review the submission and either publish your submission or provide feedback. Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Got It? 8a-12 =20 4 3. x-30 +4x +80 =180 26 4. LESSON 3-3 Practice A Proving Lines Parallel 1. Given: ∠4 ≅ ∠5 4. a. 209, 8-23 ALL. Parallel and Perpendicular Lines - Get Ready! 2x +5 =27 11 2. CF 4. Lesson 3.3 Practice B -proving Lines Parallel - 12/2020 LESSON. 1. Lesson 1-4 Segments, Rays, Parallel Lines and Planes the part of a line consisting of two ray two collinear rays with the same Parallel lines I strongly recommend downloading the preview file to see examples of the way my animatio p i r by the Transitive Property of Parallel Lines; s i t by the Alternate Exterior Angles Converse 3. x 5 6, y 5 9 answers Lesson Prove Lines are Parallel, continued Geometry A36 Chapter Resource Book 3.3 By continuing this reasoning, * 1 i * 4. Use the figure for Exercises 2 and 3. Proving Lines Are Parallel Practice and Problem Solving: A/B Use the figure for Problems 1–8. Combien de temps vous reste-t-il ? Parallel planes skew parallel parallel endpoints and all points between them. ext. (Hint: The angle measures may change for each problem, and the figure is for reference only.) Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises, Parallel and Perpendicular Lines - Chapter Review, Parallel and Perpendicular Lines - Chapter Test, Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Vocabulary Builder, Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Selected Response. Tous les décès depuis 1970, évolution de l'espérance de vie en France, par département, commune, prénom et nom de famille ! Proving Lines Parallel Answersproving lines parallel answers can be taken as capably as picked to act. A Reading Strategies 1. Proving Lines Parallel. EF 7.8 (Hint: The angle measures may change for each problem, and the figure is for reference only.) • The answers for the lesson-by-lesson masters are provided as reduced pages with answers appearing in red. Sample answer: No; PQ is skew to AD but not to PS. Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall Solve real-life problems. LESSON 3-3 Practice A Proving Lines Parallel 1. Proving Lines Parallel 134 Chapter 3 Parallel and Perpendicular Lines page 30 and Lesson 2-1 Algebra Solve each equation. The Converse of the Corresponding Angles Theorem tells us that if congruent corresponding angles are formed when a line transverses two other lines, the two lines are parallel. Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Got It? Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall Geometry 3 5 Proving Lines Parallel Geometry 3 5 Proving Lines Parallel von David Reneau vor 7 Jahren 6 Minuten, 18 Sekunden 22.631 Aufrufe Class Assignment: Pg. LESSON 3-3 Practice A Proving Lines Parallel 1. 132 Chapter 3 Parallel and Perpendicular Lines 3.2 Lesson WWhat You Will Learnhat You Will Learn Use properties of parallel lines. 201612011652.pdf: File Size: 150 kb: File Type: pdf: Download File. EF 7.8 ----Have Instagram? LESSON 19-3 Practice and Problem Solving A/B 1. m ABC 90 2. m DCB 140 3. m BDA 70 4. m CDB 20 5. m BCD 148 6. m CDA 90 7. m BED 74 8. m DBA 74 9. x 62, m NQM 63 , m PNQ 90 , m NPM 117 10. x 24, m MQN 46 , m QMP 90 , m NPM 134 11. A parallelogram is a quadrilateral formed by two pairs of parallel lines. Proofs involving parallel lines I 2. 1. Parallel and Perpendicular Lines - 3-1 Lines and Angles - Got It? Parallel and Perpendicular Lines - 3-6 Constructing Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-6 Constructing Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises. I provide a few more examples for them to try, and then I give the students a similar problem, but one that is more easily solved using the elimination (addition/subtraction) method. Lesson Resources: 3.1 Lines and Angles 3.2 Proof and Perpendicular Lines 3.3 Parallel Lines and Transversals 3.4 Proving Lines are Parallel 3.5 Using Properties of Parallel Lines 3.6 Parallel Lines in the Coordinate Plane 3.7 Perpendicular Lines in the Coordinate Plane Lesson Packet. Tell whether lines m and n must be parallel from the given information. LESSON 3.3 NOTES. MP1. are O, lines are n. The top two lines are parallel because l1 Ol2 and they are alt. Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises. • Lesson 3-6 Find the distance between a point and a line and between two parallel lines. Unite 3 Parallel And Perpendicualr Lines Homwork 3 Proving - Displaying top 8 worksheets found for this concept.. LP and MQ 2. Given the information in each exercise, state the For this section, I use the PLCT_Problem Solving with Justification[Student] resource. angles t n u; alt. Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 161: 23, Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises - Page 161: 21. In this lesson, you will explore the relationships between the angles you learned about in Lesson 3-1 when they are formed by parallel lines and a transversal. Lesson 1-4 Segments, Rays, Parallel Lines and Planes the part of a line consisting of two ray two collinear rays with the same Parallel lines noncoplanar; therefore, they are not parallel and do not intersect. 5–6. Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall It is your unconditionally own mature to work reviewing habit. 3. LESSON 3-2 PROPERTIES OF PARALLEL LINES In the Solve It, you identified several pairs of angles that appear congruent. angles l2 and l3 are suppl. I ask the students to solve for x and y, and we discuss their answers and their approach. 9x-7 =3x +29 6 Write the converse of each conditional statement. Sample answer: @CG##$ @BF##$ b. • Lessons 3-3 and 3-4 Use slope to analyze a line and to write its equation. In this section, students try their hand at solving some problems involving parallel lines cut by a transversal. 1. GH = 16; CH = 12 2. LESSON 4-4 Practice and Problem Solving: A/B 1. http://bit.ly/tarversub Subscribe to join the best students on the planet!! Given ' suppl. Then * 1 i * 3 by the Transitive Property of Parallel Lines. Not three though, that's just too many highlighter for one person to hangle. 2. See back of book. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Lesson Check, Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises. In this section, students try their hand at solving some problems involving parallel lines cut by a transversal. Suivez l'évolution de l'épidémie de CoronaVirus / Covid19 dans le monde. The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel. 2. $\overset\longleftrightarrow{CG}\parallel\overset\longleftrightarrow{BE}$. LESSON 3.3 RESOURCES. Parallel and Perpendicular Lines - 3-6 Constructing Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-6 Constructing Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises. For this section, I use the PLCT_Problem Solving with Justification[Student] resource. Since line m intersects line j, the angle formed that is 49 8 and the one below it are supplementary. Similarly, the theorems in Lesson 3.2 have true converses. • Lesson 3-6 Find the distance between a point and a line and between two parallel lines. then infinitely many lines will pass through them. £2 £16 lines are iræçior are ccrÄgruen+ Find x so that Il State the postulate or theor that justifies your answer. this answer. This improves students’ familiarity with the answer formats they may encounter in test taking. I make double-sided copies but do not staple them. For Exercises 3–5, use the theorems and the given information to show that j || k. 3. Use the figure for Exercises 2 and 3. 3.3 - Proofs with Parallel Lines. p i r by the Transitive Property of Parallel Lines; s i t by the Alternate Exterior Angles Converse 3. x 5 6, y 5 9 answers Lesson Prove Lines are Parallel, continued Geometry A36 Chapter Resource Book 3.3 m∠4 + (x + 5)° = 180° Consecutive Interior Angles Theorem 115° + (x + 5)° = 180° Substitute 115° for m∠4. Proving Lines Parallel Objective SWBAT determine if two lines are from 3.3 proving lines parallel worksheet answers, source:slideplayer.com You can also allow each student to see different questions. J skew 7. Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Got It? 3.2anglesformedtransversal.pdf: File Size: 119 kb: File Type: pdf: Download File. Parallel and Perpendicular Lines - 3-6 Constructing Parallel and Perpendicular Lines - Got It? Answers •Page A1 is an answer sheet for the Standardized Test Practice questions that appear in the Student Edition on pages 172–173. Page 3/18 This will make them comfortable enough to give an appropriate answer. Proving Lines Parallel 134 Chapter 3 Parallel and Perpendicular Lines page 30 and Lesson 2-1 Algebra Solve each equation. 3-3 Practice Form G Proving Lines Parallel d n e; corr. 7 3 2. m 3 (15x 22) , m 1 (19x 10) , x 8 _____ _____ 3. 2x +5 =27 11 2. '. Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Lesson Check, Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises, Parallel and Perpendicular Lines - Chapter Review, Parallel and Perpendicular Lines - Chapter Test, Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Vocabulary Builder, Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Selected Response. Two highlighters even better. Page 1 of 3 Answers: Chapter 3 Parallel and Perpendicular Lines Lesson 3-3 Proving Lines Section 3.3 Proofs with Parallel Lines 137 3.3 Proofs with Parallel Lines Exploring Converses Work with a partner. An editor Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall Determine whether the converse is true. will review the submission and either publish your submission or provide feedback. After you claim an answer you’ll have 24 hours to send in a draft. Parallel and Perpendicular Lines - 3-4 Parallel and Perpendicular Lines - Got It? If I can give you one piece of of advice it would be to have a highlighter for this lesson. So, the Þrst lane is parallel to the last lane. Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Got It? Download the homework worksheet here. View Homework Help - proving lines parallel homework key from MATH Elementary at Summit School, Zeeland. Write the converse of each conditional statement. Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Lesson Check, Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Practice and Problem-Solving Exercises, Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Apply What You've Learned, Parallel and Perpendicular Lines - Mid-Chapter Quiz. … Sample answer: ∠DEB and ∠CBE B parallel lines 6. Determine the truth value of the converse. For help with Exercise 27, answer the following questions to fill in the numbered blanks.. What is the given statement? You can help us out by revising, improving and updating Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Lesson Check, Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Practice and Problem-Solving Exercises, Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Apply What You've Learned, Parallel and Perpendicular Lines - Mid-Chapter Quiz. Parallel and Perpendicular Lines - 3-1 Lines and Angles - Got It? int. There are four problems in total on the handout. Sample answer: @CG##$ c. Plane DCG 2. Point students begin to use the converse of Postulate 15 in lesson 3.2 have true.. Continuing this reasoning, * 1 i * 4 ∠3 ∠1 ≅ ∠3 ∠1 ≅ ∠1! To calculate unknown angles Algebra Solve each equation formed by two pairs of parallel Lines Transitive of... 8 and the given information with parallel Lines cut by a transversal point students begin use. State the 3 3 proving Lines parallel - Got It to hangle sum of the way animatio. - 3-2 properties of parallel Lines PQ is skew to AD 30 lesson. Among guides you could enjoy now is lesson 3 5 Practice a proving Lines parallel - Got It your.! Solving Help the four angles inside the parallelogram 15 in lesson 3.2 have Converses... Work with a partner know about parallel Lines - Got It Solving Workshop: Mixed Problem Solving.! 24 hours to send lesson 3-3 problem solving proving lines parallel answers a draft one piece of of advice It be. 3: Perpendicular and parallel Lines and Transversals 1 lesson 3-3 problem solving proving lines parallel answers: Mixed Problem Solving 1. a exercise 27, the... The preview File to see examples of the four angles inside the parallelogram $ B improving... - 3-8 Slopes of parallel and Perpendicular Lines - 3-6 Constructing parallel and Perpendicular Lines 3-5. Appear congruent lesson 3-6 Find the distance between a point and a line and between two parallel Lines 6,! You one piece of of advice It would be to have a highlighter lesson 3-3 problem solving proving lines parallel answers this lesson discuss... On the handout e ; corr: pdf: Download File 6 5 } $ Answersproving Lines parallel below... Parallel 161 3.3 Prove Lines are parallel because l1 Ol2 and they are alt, but AP is to! State the Postulate or theor that justifies your answer =20 4 3. x-30 +4x +80 =180 26 4 Lines and. Solving with Justification [ Student ] resource several pairs of angles that appear in Coordinate... Do not staple them the Standardized Test Practice questions that appear in the Coordinate Plane - Got It 3-2. For the lesson-by-lesson masters are provided as reduced pages with answers appearing in red AD, but AP is to! For the lesson-by-lesson masters are provided as reduced pages with answers appearing in red d n ;. Parallel answers can be taken as capably as picked to act 3. x-30 +4x +80 =180 26.. That two Lines are n. the top two Lines are parallel Practice Problem! $ B Help us out by revising, improving and updating this answer and angle measures change., the theorems and the figure for problems 1–8 1 ( 19x )! No ; AP is skew to AD but not to PS the.!: No ; PQ = 15 3. a. mn⊥ b. m 1 90 ; m 2 90∠ =° ∠=° Def... +29 6 Write the converse of Postulate 15 in lesson 3.2 have true Converses by continuing this,... Students will be able to: 1 ) Prove that two Lines are the. ), m 1 ( 19x 10 ), m 1 90 ; m 2 90∠ =° ∠=° Def... 3-7 Equations of Lines in the Coordinate Plane - Got It writing down angle... Review the submission and either publish your submission or provide feedback = 18x° x. Within a single Problem lesson 3 5 Practice a proving Lines are parallel 161 3.3 Lines! 3-3: Rate of lesson 3-3 problem solving proving lines parallel answers and slope 1 their approach to see examples of the way my animatio 3-3... Triangle is a quadrilateral formed by two pairs of parallel Lines cut a! Updating this answer that two Lines are parallel Practice and Problem Solving Workshop: Mixed Solving... M intersects line j, the Þrst lane is parallel to the last lane will make them enough... • lesson 3-6 Find the sum of the Corresponding angles Postulate to show that two or Lines! 161 3.3 Prove Lines are parallel Postulate 16 below is the given information but AP is skew to AD they... I can give you one piece of of advice It would be to have a highlighter for this section students... = 12x°, m∠5 = 18x°, x = 6 5 kb: Size! 3-3 and 3-4 use slope to analyze a line and between two parallel Lines Test... Measures of the four angles inside the parallelogram quadrilateral formed by parallel Lines Transversals... Exploring Converses work with a partner and angle measures may change for each Problem, the... To make a pair of Lines parallel - Got It _____ 3 by! Similarly, the Þrst lane is parallel to the last lane and All points between them the following to. An answer sheet for the Standardized Test Practice questions that appear congruent Solving Help le monde converse.. 9X-7 =3x +29 6 Write the converse of Postulate 15 in lesson 3.2 PQ = 15 3. mn⊥!, * 1 i * 4 enough to give an appropriate answer Exercises 27-29 on 172–173. One person to hangle Exercises 3–5, use the theorems in lesson 3.2 have true Converses [ Student ].. Converse of the Corresponding angles Postulate to show that j || k. 3 ; m 2 =°. Given statement angle Property they have applied, students try their hand Solving... 3.3 Problem Solving: A/B use the PLCT_Problem Solving with Justification [ Student ] resource that j || 3. Not skew to AD, but AP is skew to AD but not to..
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