Decide whether enough information is given to prove that the triangles are congruent using the AAS congruence Theorem. If so, write a proof. If not explain why. Decide whether enough information is given to prove that the triangles are congruent using the AAS Congruence Theorem. If so,write a proof. If not, explain why.ATUV, AQRS yes; It is given that ZT LQ and UT RQ. Also, ZV ZS by the Symmetric Property of Congruence. So,ATUV AQRS by the AAS Congruence Theorem.yes; It is given that ZT ZQ and UT RQ. Also, ZV ZS by the definition of acute angles of a triangle. So,ATUV AQRS by the AAS Congruence Theorem.O no; The given information applies to two angles and an included side. So, AAS does not apply in this case.no; There is only enough information to conclude that one pair of angles and one pair of sides are congruent. So,AAS does not apply in this case.

O prove both triangles are congruent..

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.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 3E: Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the...

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

yes; It is given that ZT LQ and UT RQ. Also, ZV ZS by the Symmetric Property of Congruence. So,
ATUV AQRS by the AAS Congruence Theorem.
yes; It is given that ZT ZQ and UT RQ. Also, ZV ZS by the definition of acute angles of a triangle. So,
ATUV AQRS by the AAS Congruence Theorem.
O no; The given information applies to two angles and an included side. So, AAS does not apply in this case.
no; There is only enough information to conclude that one pair of angles and one pair of sides are congruent. So,
AAS does not apply in this case.

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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