Angle Bisector and Its Construction

Q.

Question 77

Draw an angle of ${140}^{\circ }$ with the help of a protractor and bisect it using ruler and compass.

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Question 2

Draw an angle of measure ${147}^{\circ }$ and construct its bisector.

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Question 79

Draw an angle of ${80}^{\circ }$ using a protractor and divide it into four equal parts, using ruler and compass. Check your constuction by measurement.

Q.

Use three letters to name an angle.

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Question 7

Draw an angle of measure ${135}^{\circ }$ and bisect it.

Q.

Question 86

Bisect a right angle, using ruler and compass. Measure each part. Bisect each of these parts. What will be the measure of each of these parts?

Q.

Question 87

Draw an angle ABC of measure ${45}^{\circ }$, using ruler and compass. Now draw and $\angle DBA$ of measure ${30}^{\circ }$ using ruler and compass as shown in the figure, What is the measure of $\angle DBC$?

Q. Ray QZ is the bisector of ∠PQR . Which of the following is true?

1. ∠PQZ = $\frac{1}{2}$ ∠PQR
2. Both [b] and [c]
3. ∠PQZ = ∠PQR
4. ∠PQZ = ∠ZQR

Q.

Question 58

State whether the statements are true or false:

It is possible to draw two bisectors of a given angle.

Q.

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

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

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

Q.

State whether True or False.
It is possible to construct an angle equal to ${7.5}^{\circ }$ using compass and ruler.

1. False

2. True

Q.

Question 33

State whether the given statement is True or False.

If the arms of an angle on the paper are increased, the angle increases.

Q. The mininum number of arcs needed to construct an angle bisector is __.

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

Q.

An angle of $42.5°$ can be constructed. Write True or False in each of the following. Give reasons for your answer.

1. True
2. False

Q.

Ray XY bisects ∠MXN which measures 72°. What is the measure of ∠YXN?

1. ${27}^{\circ }$
2. ${36}^{\circ }$
3. ${72}^{\circ }$
4. ${18}^{\circ }$

Q.

Question 83

Bisect $\angle XYZ$ in the given figure.

Q.

Draw an angle measuring $82°$ using ruler and compasses

Q.

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

1. 45

Q. What is the minimum number of arcs do you need to draw, while constructing a copy of an angle?

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

Q. Which of the following is an angle?

1. measure of two parallel lines
2. measure between two rays with a common point
3. measure of a single line
4. measure of a line segment

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

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

Q. Which of the following can be used to compare lengths of two lines?

1. S1, S2 are correct and S3, S4 arewrong.

2. S1, S2 are wrong and S3, S4 arecorrect.

3. S3, S2 are correct and S1, S4 arewrong.

4. S1, S3 are correct and S2, S4 arewrong.

Q.

With the help of a ruler ad a compass it is not possible to construct an angle.

1. $37.5°$

2. $40°$

3. $22.5°$

4. $67.5°$

Q.

To construct an angle of $30°$, we construct the angle bisector of

1. $15°$

2. $60°$

3. $30°$

4. none of these

Q.

Draw a right angle and construct its bisector.

Q. If BD is the angular bisector of ∠ABD , then find the ∠DBC.

1. ${130}^{\circ }$
2. ${125}^{\circ }$
3. ${75}^{\circ }$
4. ${65}^{\circ }$

Q. An angle of ${15}^{\circ }$ is drawn using a pair of compass and ruler by bisecting .........

1. ${60}^{\circ }$
2. ${60}^{\circ }$ and then bisecting it again
3. ${60}^{\circ }$ and ${120}^{\circ }$
4. ${60}^{\circ }$ and ${180}^{\circ }$

Q. If BD is the angular bisector of ∠ABD , then find the ∠DBC.

1. ${130}^{\circ }$
2. ${125}^{\circ }$
3. ${65}^{\circ }$
4. ${75}^{\circ }$

Q. Which of the following angles cannot be obtained from 180 degrees?

1. ${22.5}^{\circ }$
2. ${45}^{\circ }$
3. ${25}^{\circ }$
4. ${90}^{\circ }$