Decide whether enough information is given to prove that the triangles are congruent using ASA Congruence theorem. If so, write a proof. If not, explain why. yes; It is given that WZ|| YX . ZWXZ is supplementary to 2ZWX and ZWZX is supplementary to ZXYZ by theO Consecutive Interior Angles Theorem. Also, ZX ZX by the Reflexive Property of Congruence. So,AWXZAYZX by the ASA Congruence Theorem.yes; It is given that WZ YX .ZWXZ YZX and ZWZX ZYXZ by the Alternate Interior Angles Theorem. Also,ZX XZ by the Reflexive Property of Congruence. So, AWXZ AYZX by the ASA Congruence Theorem.no; There is only enough information to conclude that one pair of angles and one pair of sides are congruent. So,ASA does not apply in this case.o no; The information given applies to two angles and a non-included side. So, ASA does not apply in this case. Decide whether enough information is given to prove that the triangles are congruent using the ASA Congruence Theorem. If so,write a proof. If not, explain why.AWXZ, AYZX

Answered: Decide whether enough information is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 27E

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Decide whether enough information is given to prove that the triangles are congruent using ASA Congruence theorem. If so, write a proof. If not, explain why.

yes; It is given that WZ|| YX . ZWXZ is supplementary to 2ZWX and ZWZX is supplementary to ZXYZ by the
O Consecutive Interior Angles Theorem. Also, ZX ZX by the Reflexive Property of Congruence. So,
AWXZAYZX by the ASA Congruence Theorem.
yes; It is given that WZ YX .ZWXZ YZX and ZWZX ZYXZ by the Alternate Interior Angles Theorem. Also,
ZX XZ by the Reflexive Property of Congruence. So, AWXZ AYZX by the ASA Congruence Theorem.
no; There is only enough information to conclude that one pair of angles and one pair of sides are congruent. So,
ASA does not apply in this case.
o no; The information given applies to two angles and a non-included side. So, ASA does not apply in this case.

Decide whether enough information is given to prove that the triangles are congruent using the ASA Congruence Theorem. If so,
write a proof. If not, explain why.
AWXZ, AYZX

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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