2.PART 3: PROOFS4.1. WXZY6.Write a two-column proof for each of the following.16. GIVEN: WXZYZW YXPROVE: AZYX = AXWZ3. 21 225. XZ E XZSTATEMENTSto noilinTV stosald HO Z17. GIVEN: AN TN; 41 = 22PROVE: /3= /41.2. Given5.26.3WSTHEMSTATEMavoy3.4. → Alt. Interior Angles areREASONSReview #6 Page 1 of 5Review #6, Page 3 of 54Name2/NE.COM1 A2 (A)34 (ABGⓇA

Prove that triangle ZYX and triangle XWZ are congruent. Given that WX is parallel to ZY and ZW is…

Answered: TV stos Write a two-column proof for…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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13. m 26 + mZ7 + m Z 8 = _ ?_ 14. If m L1 = 30 and m Z 4 = 130, then m L2 = _ ? _. 15. If L4 E 25 and Z1 = L7, name two other pairs of congruent angles and give a reason for each answer. 2. 3 4 5/6 8 Exs. 13-15
Spence by 20. 2 3 4 39° IVICI IN IVIussalli 5 27 F LAFB and LBFE ZAFC and ZCFE LAFB and LBFC LCFD and ZDFE LAFD and ZDFE 6 * CIUSES at 12/14/2022, 2.3J.JJIM ZU Questions 7 8 * 9 10 11 12 13 14 Complementary Angles 15 16 ooooo 17 Supplementary Angles 18 LAFE is a straight angle and Determine if each angle pair is either complementary or supplementary. Mark a choice for each pair of angles. OO 19 20 *REQUIRED CFE is a right angle. 1
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In the proof below, what statement is needed in line 2 complete the proof? Given: AXY Z Prove: m/1+m22+ m23 = 180* W 4/1 2 Y 3 Statements Reasons 1. Through any point not on a line, there is exactly one line parallel to the given line. 1. Through point X, draw XW so that XW || YŹ 2. 2. Angle Addition Postulate 3. 22 4; 25 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 = m4; m/5 = m23 4. Definition of congruent angles. 5. m/1+m22 + m/3 180 5. Substitution Property Sign SUS -> 女 @ #3 $ % & 4 7 8. W e r y u i S d f j k
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M B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mzM + m2N = M¿ACB Statement Reason 1. ΔΜΝΟ 1. 2. Angle Sum Theorem (The sum of the measures of the interior angles of a 2 triangle is 180°.) 3. MZMON and M

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TV stos Write a two-column proof for each of the following. 16. GIVEN: WX|| ZY ZW|YX P PROVE: AZYX = AXWZ 1. WX|| ZY - 21 22 XZ EXZ STATEMENTS 1. 2. Given 3. Z 5. 2 3 W MERVIERY 8 89 REASONS NO 4. Alt. Interior Angles are = 4