Construction to Bisect a Given Angle

Q. 22.5 degrees can be constructed by _______ using a compass.

1. doubling 10 degree
2. bisecting 45 degree
3. subtracting 15 from 45 degree
4. bisecting 40 degree

Q.

Draw a right angle and construct its bisector.

Q. The angle formed when a straight angle is bisected is called:

1. Acute angle
2. Right angle
3. Reflex angle
4. Obtuse angle

Q.

In the following figure, the measure of angle C is:

1. 60^o

2. 60^o

3. 105^o

4. 75^o

Q. In the following figure, if OQ is angle bisector of ∠POA, then 2 $\times$ ∠POQ cannot be equal to _____.

1. ∠POA
2. 90${}^{\circ }$
3. ∠ POQ + ∠ QOA
4. ∠QOA

Q.

Draw an angle of measure $147°$ and construct its bisector.

Q. If we bisect the angle between the minute hand and hour hand of the clock, then what will be the angle(in degrees) we shall get?

1. 45

Q.

Joe was asked to draw an angle of 22.5 degree using a compass. What possible methods he could have used

1. None of these

2. Bisecting the angles ${10}^{\circ }$ and ${35}^{\circ }$

3. Bisecting the angle ${45}^{\circ }$

4. Impossible to construct

Q. CX is the perpendicular bisector to AB. Which statements are true? 1. AC=BC, 2. Angles ACX = BCX

1. Only 1
2. None
3. Only 2
4. Both 1 and 2

Q.

The angle obtained after bisecting an angle of 80${}^{\circ }$ is ______

1. 160${}^{\circ }$
2. 40${}^{\circ }$
3. 90${}^{\circ }$
4. 60${}^{\circ }$

Q. If we bisect 60 degree angle we get _____ degree angle.

1. 120
2. 45
3. 30
4. 90

Q.

In the following figure, if OQ is angle bisector of ∠POA, then ∠POQ will be equal to ___ .

1. 90${}^{\circ }$
2. 55${}^{\circ }$
3. 45${}^{\circ }$
4. 60${}^{\circ }$

Q. In the following figure, if OQ is angle bisector of ∠POA, then 2 $\times$ ∠POQ cannot be equal to _____.

1. ∠POA
2. 90${}^{\circ }$
3. ∠ POQ + ∠ QOA
4. ∠QOA

Q.

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

1. angle bisector

2. perpendicular bisector
3. median
4. altitude

Q. In which of the following situations an angle bisector cannot be constructed to bisect the angle formed between two given lines?

1. Two intersecting lines
2. Two parallel lines
3. Two perpendicular lines
4. None of the above

Q. In the following figure, if OQ is angle bisector of ∠POA, then 2 $\times$ ∠POQ = _____

1. ∠QOA
2. ∠ POQ + QOA
3. 90${}^{\circ }$
4. ∠POA

Q. Draw an angle of ${40}^{\circ }$ Copy its supplementary angle.

Q. At a junction of cross roads, One of the angle is given as 25 degrees. Find the value of B.

1. 45 degrees
2. 75 degrees
3. 110 degrees
4. 25 degrees

Q. A ray that divides an angle into two equal halves is called an angular bisector.

1. False
2. True

Q. Observe the given construction, AF is the angular bisector of $\angle BAE$ and AC is the angular bisector of $\angle BAF$. If $\angle BAE$ = ${60}^{\circ }$, then $\angle BAC$ will be

1. ${15}^{\circ }$
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${10}^{\circ }$

Q.

Which one of the following angles can not be constructed using compass and ruler?

1. ${15}^{\circ }$
2. ${25}^{\circ }$
3. ${45}^{\circ }$
4. ${30}^{\circ }$