SAS Congruency

Q.

In the following figure, if AC = BE, then AD = ___.

1. None of the above

2. BD

3. CE

4. AE

Q. In the following figure, if AC = BE, then prove AD = CE.
(3 marks)

Q. If PR = AB , QR = BC and $\angle R=\angle B$,
then $△ABC\cong △PQR$ by SSA criterion.

1. True
2. False

Q.

In the following figure if AC = AB = EB, and DC = BC, then prove that the side AD is congruent to EC. $\left[3\right]$

Q. In two triangles, if two corresponding sides and the included angle are equal, then they are congruent by ___.

1. ASA
2. SSS
3. SAS
4. RHS

Q. In the given figure, if OA = OB and OC = OD, then $△AOD\cong △BOC$ by ____ criterion of congruency.

1. ASA
2. RHS
3. SAS
4. SSS

Q.

In the given figure, if $\angle BCA=\angle RPQ={15}^{\circ },$
then $\angle PQR$ is ______.

1. ${45}^{\circ }$

2. ${35}^{\circ }$

3. ${15}^{\circ }$

4. ${55}^{\circ }$

Q. By which congruence rule are triangle PRQ and triangle TRS congruent?

1. SSS
2. RHS
3. ASA
4. SAS

Q. The given triangles are congruent by
SAS congruency criterion.

1. False
2. True

Q.

There is a park with two triangular jogging tracks. Rahul and Arjun went for jogging. The park had a route map which mentioned that the sides of jogging tracks with the same colour have the same length and nothing was mentioned about different coloured sides.

Which of the following is true?

1. Red track = Green track
2. Black track = Red track
3. Blue track = Green track
4. Black track = Green track

Q. In the following figure, the two triangles DAP and CBP are congruent by which criterion?

1. ASA
2. SSS
3. RHS
4. SAS

Q. The given triangles are congruent by SSA criterion.

1. False
2. True