Question

PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠A ≅

Answer 1

∠A ≅ ∠D

Explanation:

When writing a triangle congruency like ΔABC ≅ ΔDEF, the angles are congurent based on the orders listed. For example the first angle A is congruent with the first angle of the other triangle D.

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

Answer 2

The statement ∠A ≅ ∠D means that angle ∠A in one triangle is congruent to angle ∠D in another triangle. In the context of triangle congruence, it's important to note that corresponding angles are congruent.

So, if ΔABC ≅ ΔDEF

∠A ≅ ∠D (First angle of the first triangle is congruent to the first angle of the second triangle)

∠B ≅ ∠E (Second angle of the first triangle is congruent to the second angle of the second triangle)

∠C ≅ ∠F (Third angle of the first triangle is congruent to the third angle of the second triangle)

This is based on the angle-angle-angle (AAA) congruence criterion, which states that if the corresponding angles of two triangles are congruent, then the triangles are congruent.

Therefor ∠A ≅ ∠D means that angle ∠A in one triangle is congruent to angle ∠D in another triangle. In the context of triangle congruence, it's important to note that corresponding angles are congruent.