Please help me with this geometry question, Im pretty sure you need to use SAS congruence rule

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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MrRoyal MrRoyal · Answer 2 · 2022-07-25T15:03:42+02:00

See below for the proof that sides BC and DE are congruent

How to prove the side lengths?

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

Read more about congruent triangles at:

https://brainly.com/question/12413243

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