RHS Criteria for Congruency

Q.

Under which of the following criteria, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle?

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

Q.

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below:

Two slides which are directed in the two opposite directions are combined by a vertical stairs in the midway between the two sliders. The lengths of both the slides are same.

Two kids Mia and Anu reached down after sliding down. How much distance has Mia to walk from A to reach Anu who is at B if AC = 5 m and width of the stairs = 1 m?

1. 6 m

2. 5 m

3. 11 m

4. 10 m

Q. In the given figure, AD = BC. $\Delta ABC\cong \Delta ADC$ by which of the following criterian?

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

Q.

Two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle. What is this condition called?

1. SAS

2. SSS

3. ASA

4. RHS

Q.

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below

Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders.

The lengths of both the slides are same, the width of the slide is 1 m and the distance AC = 5 m. Find the distance AB.

1. 5 m

2. 6 m

3. 10 m

4. 11 m

Q. The side opposite to the right angle of a right angled triangle is known as __.

1. hypotenuse
2. perpendicular
3. base
4. diagonal

Q. Triangle ABC is right angled at A. If AB = AC, then find the measures of angle B and angle C.

1. angle B = angle C = 90°
2. angle B = angle C = 65°
3. angle B = 35° and angle C = 55°
4. angle B = angle C = 45°

Q. In the given figure, if
$\angle B=\angle Y=90°$
XZ = AC and YZ = BC, then the triangles are congruent by RHS criterion.

1. False
2. True

Q.

In the given figure, if AB = BC and $\angle BAO=\angle BCO={90}^{\circ }$, then which of the following is true?

1. If $\angle ABO={60}^{\circ }$ then, $\angle CBO={60}^{\circ }$

2. OA = OC

3. $△ABO\cong △CBO$ by ASA postulate

4. $△ABO\cong △CBO$ by RHS postulate

Q.

In the given figure, if AB = AC and $\angle ADB=\angle ADC={90}^{\circ }$, then which of the following is true?

1. $△ABD\cong △ADC$ by RHS postulate

2. $△ABD\cong △ADC$ by ASA postulate

3. BD = DC

4. If $\angle ABD={60}^{\circ },then\angle ACD=30°$