ASA Criteria for Congruency

Q. If two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle, then the two triangles are congruent under the criteria:

1. RHS congruence criterion
2. AAA congruence criterion
3. ASA congruence criterion
4. SAS congruence criterion

Q.

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them, of the other triangle. This condition is

1. SAS

2. ASA

3. SSS

4. RHS

Q. What is the difference between ASA and AAS criterion?

1. In AAS we consider included angle whereas in ASA we consider non - included angle.
2. In AAS we consider non - included side whereas in ASA we consider included side.
3. In AAS we consider included side whereas in ASA we consider non - included side.
4. In AAS we consider non - included angle whereas in ASA we consider included angle.

Q. If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are ___ .

1. not equal
2. congruent
3. not congruent
4. not similar

Q. In triangles ABC and PQR, ∠A = ∠P, AB = PQ and ∠B = ∠Q; then by which congruency criterion are these two triangles congruent?

1. ASA criterion
2. SAS criterion
3. SSS criterion
4. AAA criterion

Q. In triangles ABC and PQR, ∠C = ∠R, BC = QR and ∠B = ∠Q, then by which congruency criteria are these two triangles congruent?

1. A.S.A. criterion
2. S.A.S. criterion
3. A.A.A. criterion
4. S.S.S. criterion

Q. Two triangles are congruent if any two angles and their included side are equal in both triangles.

1. True
2. False

Q. Match the following pairs of triangles with their corresponding congruency criteria.

1. SAS criterion
2. ASA criterion
3. SSS criterion

Q.

In the given figure, P is the midpoint of AB. If $\angle PAC=\angle PBD,$ then which of the following are true ?

1. $△APC\cong △BPD$ by SAS postulate

2. $△APC\cong △BPD$ by SSS postulate

3. $△APC\cong △BPD$ ASA postulate

4. P is midpoint of CD

Q.

Using the information given in the figure, the values of x and y are ________.

1. $x=15,y={100}^{\circ }$

2. $x=60,y={25}^{\circ }$

3. $x=20,y={25}^{\circ }$

4. $x=20,y={100}^{\circ }$