High School

Mollie drew triangle AMOL and Ted drew triangle ATED. They measured a few parts of their triangles and found that ML = TD, OL = ED, and ∠ELD. What postulate can Mollie and Ted use to justify why their triangles must be congruent?

A) SSA
B) SSS
C) AAA
D) SAS

Answer :

Final answer:

The triangles drawn by Mollie and Ted can be proved congruent using Side-Side-Side (SSS) Postulate, provided they have all three corresponding sides equal.

Explanation:

Mollie and Ted can justify that their triangles are congruent using the Side-Side-Side (SSS) Postulate. They determined that ML = TD and OL = ED, these refer to the sides of the triangles. But the symbol ∠ELD refers to an angle, and this seems to have been stated by error as it does not fit into any congruence postulate or theorem. If there was another side proven to be equal in both triangles, then they could use the SSS Postulate as it states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.


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Final answer:

Mollie and Ted can use the SAS postulate to justify why their triangles must be congruent.

Explanation:

Mollie and Ted can use the SAS postulate to justify why their triangles must be congruent. The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

In this case, Mollie and Ted know that ML = TD, OL = ED, and they also know the measure of ∠ELD. These conditions satisfy the criteria of the SAS postulate, so they can conclude that their triangles, AMOL and ATED, must be congruent.

Learn more about Congruence of Triangles here:

https://brainly.com/question/21186587

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