SSS Criteria for Congruency

Q.

In $\Delta ABC$ and $\Delta PQR$ , AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then which of the following is true?

1. $\Delta ABC\cong \Delta QRP$

2. $\Delta ABC\cong \Delta RQP$

3. $\Delta ABC\cong \Delta PQR$

4. $\Delta BAC\cong \Delta PQR$

Q.

If lengths of all the sides of two triangles are same, then the triangles are congruent.

1. True

2. False

Q.

In $\Delta ABCand\Delta PQR$ , AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then which of the following is true?

1. $\Delta ABC\cong \Delta RQP$

2. $\Delta ABC\cong \Delta QRP$

3. $\Delta ABC\cong \Delta PQR$

4. $\Delta BAC\cong \Delta PQR$

Q.

Consider the figure below:

If AB = 5 cm; QR = 7cm; then find the value of AC (in cm.), if the perimeter of $△$ABC is 18cm.

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Q.

Rahul found 3 pairs of wooden ice-cream sticks in which the sticks in each pair are of the same length as shown below.

Rahul took one stick each from each pair and made a triangle. Likewise, his friend Arjun made another triangle which looked exactly same with the remaining sticks. They realized both these triangles have the same perimeter and are congruent under the ___________ criterion of congruence.

1. SAS

2. SSA

3. SSS

4. ASA

Q.

The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which condition?

1. ASA

2. SSS

3. RHS

4. SAS

Q.

Consider the figure below:

The triangles ABC and PQR are similar.

1. True

2. False

Q.

Corresponding sides of two triangles are congruent. What is this condition known as?

1. SSS Postulate

2. AAS Theorem

3. SAS Postulate

4. ASA Postulate

Q. In triangles ABC and PQR, AB = PQ, BC = QR and CA = RP, then by which congruency criteria are these two triangles congruent?

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

Q.

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

1. $x=56°,y={76}^{\circ }$

2. $x={48}^{\circ },y={56}^{\circ }$

3. $x={48}^{\circ },y={76}^{\circ }$

4. $x={76}^{\circ },y={56}^{\circ }$