Question

Based on the graph which congruence theorems or postulates are reasons why these graphs are equal?

Answer 1

Triangles DEF and JKL can be proven to be congruent triangles based on:

C. ASA

E. AAS

F. LA

What is the ASA Congruence Theorem?

The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.

What is the LA Congruence Theorem?

The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.

From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.

Learn more about the LA, AAS, and ASA congruence theorems on:

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