Question

observe the figure and state the test by which the given pair of triangles are congruent also mention that a b is congruent to which side of triangle pqr​

Answer 1

Answer:by SAS that is .. side angle side

<a = <p

Ab = part

And <abc = <pqr

So by cpct

Ab=pq

Ac=pr

And bc = qr

Answer 2

Answer:

The ASA test, ΔABC and ΔPQR are congruent and AB = PQ.

Step-by-step explanation:

To state the test by which given pair of triangles are congruent.

Step 1 of 1

From the figure,

Consider ΔABC and ΔPQR,

AB = PQ

∠BAC = ∠QPR

∠ABC = ∠PQR

Therefore, by ASA (Angle-side-angle) congruence rule,

ΔABC in congruent to ΔPQR, i.e.,

ΔABC ≅ ΔPQR

ASA test - "$2$ triangles are said to be $congruent$ if two angles and the in between side of one triangle are $equal$ to two angles and the in between side of another triangle."

Also, by $CPCT$ (Corresponding parts of congruent triangles)

AB = PQ

AC = PR

BC = QR

Therefore, the ASA test, ΔABC and ΔPQR are congruent and AB = PQ.

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