Each Angle of a Rectangle Is a Right Angle

Q. A quadrilateral has one angle equal to 90°, and all its sides are equal. Find the quadrilateral.

1. Rhombus
2. Square
3. Kite
4. Rectangle

Q.

Two adjacent angles of a parallelogram are in the ratio $1:2$. Find the measure of all the angles of the parallelogram.

Q. Question 2 (iv)
Consider the following parallelograms. Find the values of the unknowns x, y, z
(iv)

Q.

PQRS is a square. Determine $\angle$SRP. [1 MARK]

Q. Question 146
In parallelogram ABCD, find $\angle B,\angle C$ and $\angle D$.

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${45}^{\circ }$

Q. In the given square ABCD, a line segment DE cuts the side BC at E and the diagonal AC at O such that $\angle COD={120}^{\circ }.$ Find the measure of $\angle OEC.$

1. ${65}^{\circ }$
2. ${70}^{\circ }$
3. ${75}^{\circ }$
4. ${60}^{\circ }$

Q. Match the following.

1. Rectangle
2. Rhombus
3. Square

Q. Question 10
In figure, P is the mid-point of side BC of a parallelogram ABCD such that $\angle BAP=\angle DAP$. Prove that AD = 2CD .

Thinking process

Firstly, use the property that sum of cointeritor angles is ${180}^{\circ }$.Secondly use the property that sum of all angles in a triangle Is ${180}^{\circ }$ and then prove the required result.

Q. If one of the angle of parallelogram is 90° then all the other angles are equal to .

1. 75°
2. 135°
3. 45°
4. 90°

Q.

The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = ${44}^{\circ }$, find ∠𝑂𝐴𝐷.

1. ${36}^{\circ }$
2. ${48}^{\circ }$
3. ${56}^{\circ }$
4. ${68}^{\circ }$

Q.

The diagonals of a rectangle ABCD meet at O. If $\angle$BOC = ${44}^{\circ }$, find $\angle$OAD.

1. 88°

2. 68°

3. 72°

4. 56°

Q.

The diagonals of a rectangle $ABCD$ meet at $O$. If $\angle BOC={44}^{\circ }$, find $\angle OAD$. [2 MARKS]

Q. If two angles of a rectangle are (x+30)° and (y+50)°, then match the following.

1. 90°
2. 60°
3. 100°
4. 40°

Q. In the given square ABCD, a line segment DE cuts the side BC at E and the diagonal AC at O such that $\angle COD={120}^{\circ }.$ Find the measure of $\angle OEC.$

1. ${60}^{\circ }$
2. ${65}^{\circ }$
3. ${70}^{\circ }$
4. ${75}^{\circ }$

Q. The opposite angles of a parallelogram are $(3x-2{)}^{\circ }$ and $(x+48{)}^{\circ }$. What is the value of $x$?

1. 25

Q. If one of the angle of parallelogram is 90° then all the other angles are equal to .

1. 75°
2. 135°
3. 45°
4. 90°

Q. In the given square ABCD, a line segment DE cuts the side BC at E and the diagonal AC at O such that $\angle COD={120}^{\circ }.$ Find the measure of $\angle OEC.$

1. ${60}^{\circ }$
2. ${65}^{\circ }$
3. ${70}^{\circ }$
4. ${75}^{\circ }$

Q. Is a rhombus a square?

Q.
The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = ${44}^{\circ }$, find ∠𝑂𝐴𝐷.

1. ${48}^{\circ }$
2. ${56}^{\circ }$
3. ${68}^{\circ }$
4. ${36}^{\circ }$

Q.

A square is also a

1. Rhombus

2. Parallelogram

3. Rectangle

4. Trapezium

Q.

The diagonals of a rectangle ABCD meet at O. If ∠𝐵𝑂𝐶 = ${44}^{\circ }$, find ∠𝑂𝐴𝐷.