SSS Congruency Postulate

Q.

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

1. SAS

2. ASA

3. RHS

4. SSS

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.

In the given pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state whether the triangles are congruent or not. In case of congruent triangles, write the result in symbolic form.

Q.

AB is a line segment in a plane. The circle passing through the point A intersects the extension of AB at only one point other than A.

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. $\Delta ABC\cong \Delta PQR$

3. $\Delta BAC\cong \Delta PQR$

4. $\Delta ABC\cong \Delta QRP$

Q.

In the given pairs of triangles, measures of some parts are given. By applying RHS congruence rule, state whether the triangles are congruent or not. In case of congruent triangles, write the result in symbolic form.

Q.

In the given figure, O is the centre of the circle. Chord CD is parallel to the diameter AB. If $\angle$ABC = ${35}^0$, then find the value of $\angle$CED.

1. 

2. 

3. 

4. 

Q.

In the figure, O is the center of the circle, AB = CD and $\angle$ABO = ${35}^{\circ }$. Then the value of $\angle$DCO is ${35}^{\circ }$

1. True

2. False

Q. The orthocentre of a triangle is the point of concurrency of its

1. medians
2. angle bisectors
3. perpendicular bisectors of sides
4. altitudes drawn to sides from opposite vertices

Q. If 3 sides of one triangle are equal to the three sides of another triangle, then the two triangles are .

1. congruent by SSS
2. congruent by SAA
3. congruent by SAS
4. congruent by SSA

Q.

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

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. SAS

2. SSS

3. ASA

4. RHS

Q. If $\Delta ABC$ $\cong$ $\Delta DEF$ by SSS congruence, then, match the corresponding equal sides.

1. DE
2. EF
3. FD

Q.

$\text{In the given figure,}\Delta ABC\text{and}\Delta OBC\text{are both isosceles.}$
$\text{It can be concluded that:}$

1. $\Delta AOB\cong \Delta AOC$

2. AB = AO

3. $\angle ABO=\angle ACO$

4. $\Delta AOB\text{is not congruent to}\Delta AOC$

Q. $\text{In the given figure,}\Delta ABC\text{and}\Delta OBC\text{are both isosceles.}$
$\text{It can be concluded that:}$

1. $\Delta AOB\cong \Delta AOC$
   
2. R.H.S. rule is applied
3. S.S.S. rule is applied
4. $\Delta AOB\text{is not congruent to}\Delta AOC$

Q. In the figure, it is given that AB = AC and point D bisects the side BC. Find $\angle ADC$.

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${120}^{\circ }$
4. ${30}^{\circ }$

Q.

Consider the figure below.

If $\angle A={50}^{\circ }$, and $\angle Q={60}^{\circ }$, then find the value of $\angle B$ (in degrees).

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