Decide whether there is enough information to prove that triangle WXZ is congruent to triangle YZX using the SAS congruence Theorem. Explain your reasoning. Decide whether there is enough information to prove that AWXZ=AYZX using the SAS Congruence Theorem. Explain yourreasoning. yes; Because ZW XY , WZY , and WX YZ , the two triangles are congruent by the SAS CongruenceTheorem.yes; Because ZW XY, WZY, and ZX = XZ , the two triangles are congruent by the SAS CongruenceTheorem.no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruentsides.no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the includedangles.

Answered: Decide whether there is enough…

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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Decide whether there is enough information to prove that triangle WXZ is congruent to triangle YZX using the SAS congruence Theorem. Explain your reasoning.

Decide whether there is enough information to prove that AWXZ=AYZX using the SAS Congruence Theorem. Explain your
reasoning.

yes; Because ZW XY , WZY , and WX YZ , the two triangles are congruent by the SAS Congruence
Theorem.
yes; Because ZW XY, WZY, and ZX = XZ , the two triangles are congruent by the SAS Congruence
Theorem.
no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent
sides.
no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included
angles.

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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