Corresponding, Alternate Interior, Alternate Exterior, Or .
GeometryChapter 3 Review SheetHmwk #9Name:Period:Group#:CB1. Describe the following segments or planes as intersecting, parallel, or skew.HAa.AB and DEb.AB and HCGc.DAF and CHd.planes ABC and DEHFE2. Given the diagram, identify the transversal and classify each pair of angles as corresponding, alternateinterior, alternate exterior, or consecutive interior angles, vertical angles, and linear pairs.acTransversalAngle Relationship18a. ! 1 and ! 5b. ! 15 and ! 16c. ! 7 and ! 5d. ! 10 and ! 14e. ! 8 and ! 9d27b69 1016 1535411 1214 133. Given a ! b , find the m!1 Be sure to provide a brief explanation for each equation.a.b.c.2x ! 5x1!6x 561ab8x - 55x - 10a1 7x - 34x 57bab
4. Determine whether a ! b . Then briefly justify, in complete sentences why a ! b or why a and b are notparallel.Be sure to provide a a brief explanation for each equation.a)b)(2x 5) (5x 8) a(3x 12) (2x 20) (3x-10) a(x 2 7x) bb5. Given s ! r , m!5 115 and m!8 45 , find the measure of all the angles.a) m!1 b) m!2 c) m!3 d) m!4 s516e) m!6 f) m!7 r1129g) m!9 h) m!10 i) m!11 j) m!12 13m) m!15 n) m!16 12 36. Given the diagram with m!1 48 , find all the missing numbered angles.a) m!2 b) m!3 c) m!4 d) m!5 e) m!6 6123 45f) m!7 g) m!8 h) m!9 i) m!10 147161584k) m!13 l) m!14 m!1 481079810ab
7. Find the value(s) of x of the measure of !1. Be sure to provide a brief explanation for your equation.24 6x8. Find the value of x and y. Be sure to provide a brief explanation for your equation.2x yx 2y4x9.1a. Sketch a line with a slope of ! passing through (0, -4).2b. Find the slope of the line through (0, 7) and (-3, 9).c. What is the slope of a line parallel to the line in part b?d. What is the slope of a line perpendicular to the line in part b?e. Find R so that the slope of a line through (2, R) and (8, 4) is 3.3x 21
10. Write the equation of the line with a slope of1and through the point (2, 5).211. Write the equation of the line parallel to y 3x 5 and containing the point (-1, 4).12. Write the equation of the line perpendicular to 2x 6y 7 and containing the point (3, 1).!##"13. Write the equation of a line perpendicular to AB , give A (5, 1) and B (-3, -2) and containing point B.14. Write the equation of the line from C perpendicular to AB (called the altitude).YC(-1, 8)A(-3, 2)B(6, 3)X
EComplete the following proofs.!1 " !315. Given:!2 " !4Prove:DE ! AB1D2 CB34A16.Given:g!hh! jProve:!1 " !3123ghj
BONUS QUESTION ( 1)Given a ! b ! DG and CD ! EF and m!1 62, find the measure of all the angles.a) m!2 b) m!3 c) m!4 d) m!5 e) m!6 f) m!7 g) m!8 h) m!9 i) m!10 j) m!11 k) m!12 l) m!13 m) m!14 n) m!15 C151210 117E349 81 2D1613146 5FabGo) m!16 Answers: 1a. parallel b. parallel c. skew d. intersecting 2a. c, alternating exterior b. none, linear pair c. c, correspondingd. d, alternate interior e. a, consectutive interior 3a. x -8 & 7, m!1 166!or!76 b. x 15, m!1 115 c. x 20, m!1 434a. no the line are NOT parallel b/c the alt ext are not cogruent proving the lines are NOT parallel b. yes the lines are parallel b/c thecorresponding angles (or alt int angles) are congruent proving the lines are parallel 5a. 65 b. 115 c. 45 d. 135 e. 65 f. 45 g. 65 h. 65i. 115 j. 135 k. 45 l. 115 m. 135 n. 135 6a. 132 b. 132 c. 48 d. 48 e. 42 f. 42 g. 138 h. 138 i. 42 7. x 4 & -2, m!1 132!or!1688. x 20, y 40 9b.!22318c. ! d.e. R -14 10. y x 4 11. y 3x 7 12. y 3x ! 8 13. y ! x ! 103322314. y !9x ! 1 15. state given, state vertical angles, state substitution, state angle relationship, state why lines are parallel16. state given and angle pair relationship, state other given and angle pair relationship, state substitution, state why angles arecongruent
2. Given the diagram, identify the transversal and classify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior angles, vertical angles, and linear pairs. Transversal Angle Relationship a. ! 1 and ! 5 _ b. ! 15 and !
Glencoe/McGraw-Hill 20 Geometry: Concepts and Applications Parallel Lines and Transversals Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1.!9 and !11 vertical 2.!3 and !9 consecutive interior 3.!3 and !12 alt. interior 4.!8 and !6 vertical 5.!8 and !15 alt. exterior 6.!4 and !5 alt. interior 7.!1 and !7 alt. exterior
alternate interior angles are congruent, and alternate exterior angles are congruent. C-4 Converse of the Parallel Lines Conjecture - If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel. Chapter 3
interior (4th surface) clear safety glass 5 8" [16] exterior exterior 5 8" [16] clear safety glass rain texture interior (4th surface) spacer spacer reed texture interior (4th surface) clear safety glass 5 8" [16] exterior spacer clear safety glass 5 8" [16] exterior spacer laminated textured glass interior (3rd surface) clear safety glass 5 8 .
C. SRT and MHF are alternate exterior angles D. SRY and RHV are alternate interior angles 4. Based on the diagram, which theorem or postulate would support the statement RIPm SMY? A. Alternate Exterior Angles Theorem B. Alternate Interior Angles Theorem C. Consecutive
Goldman's EA IMT OSC2 Terry Walter Alternate FS -WI OSC2 Steve Cameron Alternate State - MI OSC2 Randy McKenzie Alternate FS - MI OSC2 Steve Miller -P Alternate FS-WI OCS2 Richard Schenk - P Alternate State - CT OSC2 Jim Edgar - P Alternate State - MN OSC2 Roger Goldman - P Alternate FS - IN Team Trainees:
(2) Alternate exterior angles are supplementary (3) Alternate interior angles are complementary (4) Corresponding angles have the same measure. 4. Which statement is not true concerning angles A,B, and C in the diagram shown. (1) angle B and angle C are alternate exterior angles (2) angle A and angle C are v
1. Alternate Exterior Angles 2. Alternate Interior Angles 3. Same- Side Exterior Angles 4. Corresponding Angles 5. Same-side Interior Angles a. Angles in similar position on the same side of the transversal and are congruent. b. Angles outside the two intersected lines on opposite sides of the transvers
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