StatementReason1UW bisects ZVUXGivenUW bisects ZVWXGiven3ZVUW = ZWUXDefinition of angle bisector4ZUWV = ZUWXDefinition of angle bisector5 UW = UWReflexive Property of Congruence6AUWX E AUWVComplete the proof.Prove: AUWX E AUWVA)AASB)ASAHLSAS

Answered: Image /qna-images/answer/dcd1ce10-635a-495f-8366-4f4b20cd3858.jpg

Answered: V Statement Reason UW bisects LVUX…

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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Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y W N M Which statement about these quadrilaterals must be true? WZ KL F WX KN G Angle NKL is congruent to angle ZWX. KL H YZ LM ZW J Angle NKL is congruent to angle XYZ.
2. Quadrilateral MORE is a rhombus with diagonal OE. Which statement will complete the two-column proof to prove that 21= 4 and 22 = 3? * Statement Reason 1. Quadrilateral MORE i n rhombus with diagonal 0E 2. MO ME, RO RE MO I ER, ME I OR 3. AMOE, and AREO are inosceles triangles 1. Given 2. Definition of a rhombun 3. Definition of InOscelen trinngle 4. 5. Definition nf transversal line 6. Altermate interior angles 4. 5. D6 in a tranaversal line 6. 234 7. 214, 22= 3 are congriuent 7. Trannitive Property A. 4. 21 = 2, z3 = 4 | 4. Alternate interior angles are congruent. B. 4. 21 = 23, 24 = L2|4. Opposite angles of congruent sides of an isosceles A are congruent. C. 4. 21 = 4, 22 = 23 | 4. Base O angles of an isosceles A are congruent. D. 4. EM = ER , MO = OR | 4. Definition of congruent triangles.
LOvel L KA Proving triengles congruent by ABA and AAS A7 Complete the proof that AUWX # AWUV. Statement Reason Given 2. UX 1 WX Given 3. UV I WX Given 4 ZV ZX Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 160 Definition of angle bisector Dafiaition.o anulataral triannia ZVUW ZUWX UW UW 7. AUWX AWUV Submit
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
If AD is perpendicular bisector of BE, which statement is true?
Reflexive property of equality, same-side exterior angles theorem, same-side interior angles theorem, substitution, transitive property of congruence, transitive property of equality.
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V Statement Reason UW bisects LVUX Given UW bisects LVWX Given 3 ZVUW ZWUX Definition of angle bisector ZUWV ZUWX Definition of angle bisector 5 UW UW Reflexive Property of Congruence 6 AUWX AUWV Complete the proof. Prove: AUWX E AUWV A) AAS ASA HL SAS