Middle School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

Answer :

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

#SPJ2

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Triangle DEF can be proven congruent to triangle KLM using the Leg-Leg (LL) Theorem, Side-Angle-Side (SAS) Theorem, and Hypotenuse-Leg (HL) criterion .

The correct answer is option B, C and E.

In geometry, a congruence theorem is a statement that two geometric figures are congruent, meaning that they have the same size and shape. There are many different congruence theorems, but the most common ones are the Side-Angle-Side (SAS) Theorem, the Angle-Side-Angle (ASA) Theorem, and the Leg-Leg (LL) Theorem.

The LL Theorem is a special congruence theorem that applies to right triangles. It states that if two right triangles have two congruent legs, then the triangles are congruent. This means that all of their corresponding sides and angles are congruent.

In the diagram provided, we have two right triangles, DEF and KLM. We are given that DE = KL and DF = LM. Since these are the legs of the two triangles, we can use the LL Theorem to conclude that DEF = KLM.

Hypotenuse-Leg (HL): This criterion applies specifically to right-angled triangles. If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. Here, the right angles at D and K establish the triangles as right triangles, and the equal side lengths ED = KL and DF = KM complete the congruence conditions.

We cannot use the HL Theorem because the diagram does not explicitly show that the two triangles are right triangles.

Therefore, from the given options the correct one is B , C and E.

For more such information on: congruent

https://brainly.com/question/29789999

#SPJ6