Question

From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.

Answer 1

Answer:

Remaining congruent parts :

AC = QR

∠C = ∠R

and,

∠B = ∠P

Step-by-step explanation:

In the given figure,

We have the following data given to us :

AB = PQ

∠A = ∠Q = 90°

and,

BC = PR

Therefore,

Now In triangle ABC and PQR,

AB = PQ (Given)

∠A = ∠Q = 90° (Given)

and,

BC = PR (Given)

So,

ΔABC ≅ ΔPQR (By SAS congruence)

So,

By CPCT we can say that,

AC = QR

∠C = ∠R

and,

∠B = ∠P

Therefore, these are all the remaining congruent parts we can say after establishing the congruence between the triangles ABC and PQR.

Answer 2

GOOD JOB!

SORRY I DON'T KNOW