jennyreys
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why DEF= KLM?
Check all that apply.

Based only on the information given in the diagram which congruence theorems or postulates could be given as reasons why DEF KLM Check all that apply class=

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Answer:

Step-by-step explanation:On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.  

Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent").

Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent").

akposevictor

The congruence theorems that will be used to prove that both triangles are congruent are: C. LL E. SAS.

What is the LL Theorem?

The LL theorem is a triangle congruence theorem that states that if the two pairs of legs of two right triangles are congruent, then the triangles are congruent.

What is the SAS Theorem?

The SAS theorem is a triangle congruence theorem that states that if the two pairs of sides and a pair of included angles of two triangles are congruent, then the triangles are congruent.

Based on the information given, the theorem that can be used to show both triangles are congruent are: C. LL E. SAS

Learn more about the LL and SAS theorems on:

https://brainly.com/question/2102943

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