Question

*If two angles of a triangle and a side included by them arecongruent with two corresponding angles and the side included by them ofthe other triangle, then the triangles are congruent with each other. Which of the following test of congruent triangles is stated in this statement?*

1️⃣ A-S-A
2️⃣ S-A-S
3️⃣ S-S-S
4️⃣ Hypotenuse- side test​

Answer 1

1️⃣ A-S-A

$hope \: \: it \: \: helps$

Answer 2

Given : If two angles of a triangle and a side included by them are congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other.

To Find : Which of the following test of congruent triangles is stated in this statement?*

1️⃣ A-S-A

2️⃣ S-A-S

3️⃣ S-S-S

4️⃣ Hypotenuse- side test​

Solution:

1️⃣ A-S-A  is the correct option.

Angle-Side-Angle (ASA) Congruence Theorem

If two angles and the side included between those angles of a triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.

Two angles of a triangle and a side included by them are congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other as per ASA

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