Question

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If the triangles shown to the right are​ congruent, write a congruence statement and give a reason why they are congruent.

Are the triangles congruent or not​ congruent?
A. Not congruent
B. Congruent

Write a congruence statement and give a reason why the triangles are congruent. Choose the correct answer below.
A. ΔSBC ≅ ΔDHF, ASA
B. ΔSBC ≅ ΔDHF, SAS
C. ΔSBC ≅ ΔDHF, SSS
D. The two triangles are not necessarily congruent.

Answer 1

please I'm sorry please I don't know the answer please forgive me Okay

Answer 2

The answer is (A) ΔSBC ≅ ΔDHF, ASA.

We can use the ASA (Angle-Side-Angle) congruence postulate to prove that the two triangles are congruent.

The ASA postulate states that two triangles are congruent if they have two congruent angles and the included side is congruent.

In the given triangles, we have:

Angle B is congruent to angle D

Angle C is congruent to angle F

Side BC is congruent to side DF

Therefore, the two triangles are congruent by the ASA postulate.

Here is a congruence statement:

ΔSBC ≅ ΔDHF, ASA

This means that triangle SBC is congruent to triangle DHF by the ASA congruence postulate.