RHS Theorem

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. ASA congruence
2. RHS congruence
3. SSS 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. 10 m

2. 5 m

3. 6 m

4. 11 m

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

Q. From the figure given below, find the criteria of congruence followed by $\Delta ABC$ and $\Delta DEF$.

1. S-A-S congruency
2. A-S-A congruency
3. A-A-S congruency
4. Hypotenuse-leg congruency

Q.

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

1. x = 15, y = 9

2. x = 9, y = 15

3. x = 14, y = 9

4. x = 15, y = 10

Q.

Both Arjun and Rahul went for jogging the next day 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. Which of the following is/are true?

1. AE = FB

2. EC = FD

3. $\angle$ACE = $\angle$FDB = ${90}^{\circ }$

4. EC = FB