Angle Bisector

Q. A line or ray that divides an angle subtended by two rays into congruent angles is known as what?

1. Perpendicular bisector
2. Angle bisector
3. Bisector
4. congruent ray

Q. An angle bisector of a right angle divides the angle into ___________ angle(s).

1. One ${45}^{\circ }$
2. Two ${45}^{\circ }$
3. One ${40}^{\circ }$
4. One ${180}^{\circ }$

Q. Measure of an angle is ${60}^{\circ }$. What is the value of angles formed if the original angle is bisected by angle bisector?

1. ${30}^{\circ }$
2. ${20}^{\circ }$
3. ${15}^{\circ }$
4. ${60}^{\circ }$

Q. AB is perpendicular to CD. If the length of AB is 14 cm, then what is the length of AO?

1. 28 cm
2. 6 cm
3. 7 cm
4. 1.4 cm

Q. Given that $m\angle \text{CAB}={33}^{\circ }$ and AB bisects $\angle \text{CAD}$ into two equal halves $\angle \text{CAB}$ and $\angle \text{DAB}$ respectively. What is the value of $x$?

1. 
   $4$
2. 
   $8$
3. 
   $6$
4. 
   $10$

Q. Angle bisector of a ${260}^{\circ }$ reflex angle also divides an obtuse angle into two acute angles. What is the measure of acute angle?

1. ${50}^{\circ }$
2. ${60}^{\circ }$
3. ${100}^{\circ }$
4. ${130}^{\circ }$

Q.

Draw rough diagram of two angles such that they have three points in common

Q. If we bisect an angle x twice consecutively and each angle formed measures 30°, then what is the value of the angle x?

1. ${130}^{\circ }$
2. ${140}^{\circ }$
3. ${150}^{\circ }$
4. ${120}^{\circ }$

Q. If $\angle AOB$ = 40${}^{\circ }$ and $\angle AOC$ = 20${}^{\circ }$, then the points C, P and T lie on the _____________ of $\angle AOB$.

1. Angle Bisector
2. Arm
3. Perpendicular bisector
4. None of the above

Q. Arrange the following steps to construct a 45° angle in the correct order.

a. Make an angle bisector between 0° and 60° mark to get a 30° angle.
b. Join the 45° mark to the point O to get a 45° angle.
c. Make an angle bisector between the 30° and 60° mark to get a 45° angle.
d. Mark the 60° angle from where the arc cuts OA.
e. Draw a ray OA and make an arc cutting OA with O as its center.

1. e, d, b, c, a
2. e, d, a, c, b
3. d, c, b, a, e
4. a, c, b, e, d

Q. The perpendicular bisector of given line segment also acts as angle bisector of straight angle?

1. True
2. False

Q. Ray OE bisects $\angle$AOB and OF is the ray opposite OE, then $\angle$FOB$=$ __________.

1. $\angle$FOA
2. $\angle$AOE
3. None of these
4. $\angle$BOE

Q. Angle bisector always passes through vertex of original angle?

1. True
2. False

Q. Number of arcs drawn in the construction of 90 degree angle using ruler and compass are _______

1. 2
2. 3
3. 4
4. 6

Q.

In the figure shown below $\angle$ABD = $\angle$DBC then ray BD is called

1. Angle bisector

2. Perpendicular bisector

3. Median

4. None of the above

Q. How many times an angle of 60° is bisected to construct a 7.5°?

1. 2
2. 3
3. 4
4. 1

Q. Name the following angles of figure, using three letters:
(a) $\angle 1$ (b) $\angle 2$ (c) $\angle 3$ (d) $\angle 1+\angle 1=2$ (e) $\angle 2+\angle 3$ (f) $\angle 1+\angle 2+\angle 3$ (g) $\angle CBA-\angle 1$

Q. In the given figure, if ∠ABC = 75° and BG is the bisector of ∠ABC, then the measure of ∠ABG is

Q.

We will get an angle of measure ${22.5}^{\circ }$ by drawing angle bisector from ________.

1. $0^{\circ }and{90}^{\circ }$
2. $0^{\circ }and{45}^{\circ }$
3. $0^{\circ }and{60}^{\circ }$
4. ${45}^{\circ }and{90}^{\circ }$