Perpendicular Bisector

Q. The perpendicular bisectors of the sides of a triangle intersect at a point called _________ of the triangle.

1. circumcentre
2. orthocentre
3. centroid
4. centre

Q. If two lines meet each other at right angles, then the lines are said to be __________ to each other.

1. parallel
2. straight
3. perpendicular
4. None of the above

Q.

Lines that meet or cross each other to form right angles are called _________ lines.

1. parallel

2. similar

3. equal

4. perpendicular

Q. A/An divides an angle into two equal halves.

1. angle bisector
2. arc
3. perpendicular

Q. If a line segment AB bisects a line segment CD, then AB and CD are perpendicular to each other.

1. False
2. True

Q. An angle of measure ${75}^{\circ }$ can be drawn by:

1. By drawing ${90}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.
2. By drawing ${180}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.
3. By drawing ${90}^{\circ }$ and ${30}^{\circ }$ and bisecting the angle between them.
4. By drawing ${270}^{\circ }$ and ${60}^{\circ }$ and bisecting the angle between them.

Q. Angle bisector of straight angle also act as bisector of the rays making straight angle.

Q. A line segment gets divided into ___ parts by bisecting it.

1. Equal
2. Triangular
3. Perpendicular
4. Unequal

Q.

Which of the following angles (in degree) cannot be constructed using compass and ruler?

1. 15

2. 20

3. 90

4. 45

Q. If the perpendicular bisector of line segment CD intersects it at point O, 5.4 cm from C, the length of CD is:

1. 2.7 cm
2. 5.4 cm
3. 10 cm
4. 10.8 cm

Q. A perpendicular __________ is a line that passes through the midpoint of a side and is perpendicular to that side.

1. diameter
2. median
3. centroid
4. bisector

Q. If the perpendicular bisector of line segment CD intersects it at point 0, which is 5.4 cm from C, the length of CD is_______.

1. 2.7 cm
2. 10 cm
3. 5.4 cm
4. 10.8 cm

Q.

How many perpendicular bisectors can be drawn for a line segment?

1. 4

2. 1

3. 3

4. 2

Q.

A perpendicular to a line segment will be its perpendicular bisector if it passes through the ___ of the given line segment.

Q. The perpendicular bisector of line segement AB meets AB at O. Find the length of AB If AO = 6.5 cm.

Q. A line segment AC is bisected at B. Which of the following equals line segment AB ?

1. Line segment BC +AB
2. Line segment AB + AC
3. Line segment AC
4. Line segment BC

Q.

$\overline{MN}$ is the perpendicular bisector of the line segment $\overline{AB}$. If $\overline{AB}$ measures 6 cm, what is the length of $\overline{AN}$ and $\overline{NB}$?

1. $\overline{AN}=\overline{NB}=6cm$
2. $\overline{AN}=3cm$ and $\overline{NB}=4cm$
3. $\overline{AN}=\overline{NB}=3cm$
4. $\overline{AN}=6cm$ and $\overline{NB}=3cm$

Q. Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement

Q.

Suresh and Ramesh saw two perpendicular lines, which intersect each other and made the following statements:
Suresh: If two lines are perpendicular then the number of right angles formed between them is 2.

Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.

1. Suresh is correct, Ramesh is also correct.

2. Suresh is correct, Ramesh is incorrect.

3. Suresh is incorrect, Ramesh is correct.

4. Both are incorrect.

Q. Give some real-life examples of parallel lines.

Q. Perpendicular bisector of a line segment makes an angle of ____ on the bisected line segment.

1. 45 degree
2. 90 degree
3. 135 degree
4. 180 degree

Q.

Is $horizontalandverticallines$meeting at a point form a$perpendicularmodel$?

Q. No. of perpendicular bisector a line segment have =

1. 1
2. 2
3. 4

Q. Draw the perpendicular bisector of a line segment which is 8 cm long.

Q.

Line CD is perpendicular bisector of XY. If length of XP is 10.3 cm, then the length of XY is ?

1. 10.3 cm
2. 20.6 cm
3. 30.4 cm
4. 5.1 cm

Q.

Length of $\overline{AB}$ is 20 cm. $\overline{PR}$ is the perpendicular bisector of $\overline{AB}$ and Q is the midpoint of $\overline{AO}$ . Find $\overline{AQ}$ + $\overline{OB}$

1. 40
2. 25
3. 30
4. 15

Q. Perpendicular bisector of vertical line segment is .(Vertical/ Horizontal)

Q.

Which of the following angles (in degree) cannot be constructed using compass and ruler?

1. 90

2. 45

3. 20

4. 15

Q. Draw a circle with centre C and radius $3.4$cm. Draw any chord $\overline{AB}$. Construct the perpendicular bisector of $\overline{AB}$ and examine if it passes through C, if $\overline{AB}$ happens to be a diameter.

Q. The picture frame shown alongside has outer dimensions $20\times 24$ and inner dimensions $12\times 16$. Find the area of each section of the frame.