SSS Criteria for Congruency of Triangles

Q.

Question 2 (a)
You want to show that $\Delta ART\cong \Delta PEN$
If you have to use SSS criterion, then you need to show:
i) AR = (ii) RT = (iii) AT=

Q. Identify the criterion that can be used for the construction of an equilateral triangle LMN with side LM = 6 cm.

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

Q. A man of height y is standing between two buildings with heights x and z respectively as shown in the figure. Then, which of the following statements is true about the relation of the heights?

1. $x=y=z$
2. $\frac{1}{x}=\frac{1}{y}=\frac{1}{z}$
3. $\frac{1}{x}=\frac{1}{y}+\frac{1}{z}$
4. $\frac{1}{x}+\frac{1}{z}=\frac{1}{y}$

Q.

If the sides of $△ABC$ are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of $△PQR$ are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.

1. $△ABC\cong △QPR$
2. $△ABC\cong △PQR$
3. $△ABC\cong △PRQ$
4. $△ABC\cong △RPQ$

Q. A square is divided into two parts by one of its diagonal. The two triangles formed are _____.

1. congruent
2. not congruent
3. obtuse angled
4. insufficient data

Q. ABCD is a square. $△ACD$ is congruent to $△ACB$ by _________

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

Q. If AO = CO, OB = OD and BA = DC in the given figure
then, find the angle of $△AOB$ that will correspond to $\angle C$ of $△COD$ is :

1. $\angle$D
2. $\angle$DOC
3. $\angle$A
4. $\angle$B

Q. Identify the criterion that can be used for the construction of an equilateral $△$LMN with side LM = 6 cm.

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

Q.

Question 148 (vii)

In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

Q. Identify the criterion that can be used for the construction of an equilateral $△$LMN with side LM = 6 cm.

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

Q. $\text{Find the value of}\angle ABD\text{from the figure?}$

1. ${45}^{\circ }$
2. ${40}^{\circ }$
3. ${50}^{\circ }$
4. ${90}^{\circ }$

Q.

In the figure shown, if $BE\parallel DCand\angle EBD=\angle EBA$, then BD = ___.

Q. Complete the congruence statements:

$\Delta BCA\cong$ ? $\Delta QRS\cong$ ?

Q. A rectangular sheet of newspaper is folded as shown in the figure. The two triangles formed are ______.

1. not congruent, as the orientation is flipped
2. not congruent, as the corresponding sides are of unequal length
3. congruent as the orientation does not matter
4. None of the above

Q. $△ABC\cong △ADC$ by SSS congruency criterion.

1. True
2. False

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. SSS

2. ASA

3. RHS

4. SAS

Q. In the given figure, $△PRT$ is an equilateral triangle. Line segments TQ and PS are perpendicular bisectors to side PR and side TR respectively. Which of these statement(s) is/are correct?

1. $△PQT\cong △RQT$
2. $△TSP\cong △RSP$
3. $△RSP\cong △PQT$
4. None of the above.

Q.

All the following are criteria for measuring the congruency of triangles except the _____.

1. SAS

2. SSS

3. ASA

4. AAA

Q. If $△$PQR $\cong$ $△$XYZ by SSS criterion for congruency of triangles, then ____.

1. $\angle R=\angle X$
2. $\angle Q=\angle Z$
3. $\angle P=\angle Y$
4. $\angle P=\angle X,\angle Q=\angle Y,\angle R=\angle Z$

Q. If all sides of a triangle are equal to corresponding sides of another trianlge, then the triangles are congruent by _____ criterion.

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

Q. In the given figure, O is the centre of the circle. OD is a line bisecting AB at C. Which of the following statements are true?

1. $△$AOC is congruent to $△$BOC
2. $△$AOC is not congruent to $△$BOC
3. OA = OD = OB
4. OC = OB = OA

Q.

What are the criteria for congruence of triangles?

1. SSS, SAS, ASS, AAS, RHS

2. SSS, SAS, ASA, AAS, RHS

3. SSS, SAS, ASA, SSA, RHS

4. SSS, SAS, ASA, AAS, AAA