SAS

Q.

If ∆ABC ≅ ∆PQR then which of the following is true:

1. CA = RP

2. AB = RP

3. CB = QP

4. AC = RQ

Q.

ABC and DBC are two isosceles triangle on the same base BC and vertices A and D are on the same side of BC if AD is extended to intersect BC at P show that triangle ABD is congruent to triangle ACD and triangle ABD is congruent to triangle ACP and AP bisects angleA as well as angleD and AP is the perpendicular bisector of BC

Q.

If two sides and angle ‘not’ included by the two sides of a triangle are equal to corresponding two sides and an angle of the second triangle , then are the two triangles congruent?

Q.

Use the following information to answer the next question.

The given figure shows two triangles.

Which of the following statements is correct?

1. ΔPQR ≅ ΔXYZ by SAS congruence rule

2. ΔPQR ≅ ΔZYX by RHS congruence rule

3. ΔRPQ ≅ ΔXYZ by RHS congruence rule

4. ΔRPQ ≅ ΔXYZ by ASA congruence rule

Q. In the given figure, AC=CE and AB||ED. Find the value of $x$.

1. 15 units
2. 35 units
3. 10 units
4. 25 units

Q. In the given figure, if $x=y$ and $AB=CB$ then prove that $AE=CD$.

Q.

If two sides and the included angle of a triangle are respectively equal to two sides and the included angle of the other triangle, the two triangles are congruent. True or False

1. True

2. False

Q.

In the given figure, if OA = BO and OC = OD, then, $△$AOD $\cong$ $△$BOC by __ congruence rule.

Q.

In the given figure it is given that AB = CF, EF = BD and $\angle$AFE = $\angle$DBC. Then by which criterion $△AFE\cong △CBD$ ?

1. SAS

2. SSS

3. ASA

4. None of these

Q.

In the given figure AD is the bisector of $\angle$A and AB = AC. Then, by which criterion $△$ACD and $△$ABD are congruent?

1. SAS

2. ASA

3. SSS

4. None of these

Q.

If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then, the two triangles are congruent by __ congruence rule.

Q.

If in the given figure, ABCD is a rectangle and DCE is an equilateral triangle, then which of the following statements is/are correct?

1. $\Delta DAE\cong \Delta CBE$
2. $\angle DAE={15}^{\circ }$
3. $\Delta AEB$ is isosceles.
4. $\Delta DAE$ is isosceles.

Q. In the given figure, ABC is a triangle, right angled at B. If BCDE is a square on the side BC and ACFG is a square on AC, then AD is ____.

1. equal to BF
2. greater than BF
3. less than BF
4. none of these

Q.

In the given figure, if AD = BC and AD || BC, then

1. AB = AD
2. AB = DC
3. BC = CD
4. AC = BC

Q.

If in the given figure, ABCD is a rectangle and DCE is an equilateral triangle, then which of the following statements is/are correct?

1. $\Delta DAE\cong \Delta CBE$
2. $\angle DAE={15}^{\circ }$
3. $\Delta AEB$ is isosceles.
4. $\Delta DAE$ is isosceles.

Q.

Which of the following is sufficient for two triangles denoted by $\Delta 1$ and $\Delta 2$ to be congruent ?

1. All angles of $\Delta 1$ should be equal to all angles of $\Delta 2$

2. Any two sides of $\Delta 1$ and one angle should be equal to any two sides and one angle of $\Delta 2$

3. Any two sides of $\Delta 1$ and the included angle should be equal to any two sides and the included angle of $\Delta 2$

4. Any two sides of $\Delta 1$ should be equal to any two sides of $\Delta 2$