Construction of a Line Segment

Q.

Draw a line segment of length 10 cm. Divide it into four equal parts. Measure of each of these parts is ______ cm .

1. 5
2. 2.5
3. 20
4. 3

Q.

How do you draw a 90° angle?

1. By drawing a perpendicular to a line from a point lying on it.
2. By bisecting a 120° angle.
3. By bisecting a 60° angle.
4. By drawing multiples of a 45° angle.

Q.

If the $x-$intercept of some line $\mathrm{L}$ is double as that of the line, $3\mathrm{x}+4\mathrm{y}=24$ and the $y-$intercept of $\mathrm{L}$ is half as that of the same line, then the slope of $\mathrm{L}$ is

Q.

$D$ and $E$ are points on the sides $CA$ and $CB$ respectively of a triangle $ABC$ right angled at $C$.

Prove that: $A{E}^2+B{D}^2=A{B}^2+D{E}^2$

Q. X is the midpoint of the line segment AB. If AX is 9.3 cm, then the length of line segment AB is :

1. 4.65 cm
2. 18.6 cm
3. 9.3 cm
4. 18 cm

Q. Which of the following is impossible to draw using the given set squares?

1. ${90}^{\circ }$
2. ${105}^{\circ }$
3. ${85}^{\circ }$
4. ${150}^{\circ }$

Q. Line segment AB measures 14 cm. If XY is the perpendicular bisector to AB at O, what is the measure of AO?

1. 7 cm
2. 7.5 cm
3. 5 cm
4. 6 cm

Q.

Question 4

If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?

Q. To construct a line segment, we need a ruler and a

1. compass
2. protractor
3. divider
4. set square

Q.

Which of the following figures can be constructed using only compass and Ruler

1. An angle of measure 60⁰

2. A straight line of length 4.8 cm

3. A straight line of length 7.9 cm

4. A straight line of length 6.1 cm

Q.

If the number of ends in a line is '$X$' and the number of ends in a line segment is '$Y$', what is the value of $Y-X$?

Q.

The distance between two points P, Q is called _______ of PQ

1. line

2. line segment
3. None of the above
4. displacement

Q. How many open shapes are shown in the figure given below?

1. 4
2. 2
3. 3
4. 5

Q. Line segment can be constructed using

1. compass
2. protractor
3. ruler
4. none of the above.

Q. A line segment does not have any end points.

1. False
2. True

Q.

If the length of a line segment is 8.7 cm then the length of line segment twice of it is:

1. 17.4 cm

2. 17.2 cm

3. 17.5 cm

4. 17.1 cm

Q.

From a line segment of length 5.6 cm if a line of segment of length 3.4 cm is cut then the length of remaining part is:

1. 2.3 cm

2. 2.1 cm

3. 2.2 cm

4. 2.4 cm

Q. Draw a line segment PQ of length 12 cm. Mark a point O outside this segment. Draw a line through O perpendicular to PQ

Q.

A perpendicular bisector of a given line ______.

1. Both A and B

2. is perpendicular to that line

3. divides that line in two equal parts

4. is parallel to that line

Q.

$X$ is the midpoint of the line segment PQ whose length is 26.7 cm. The length of line segment QX is :

1. 2

2. 1

3. 2 & 3

4. 1 & 3

Q. Line segment AB measures 14 cm. If XY is the perpendicular bisector to AB at O, what is the measure of AO?

1. 7 cm
2. 7.5 cm
3. 5 cm
4. 6 cm

Q. Construct $\overline{AB}$ of length 7.8 cm. From this, cut off $\overline{AC}$ of length 4.7 cm. What is the measure of $\overline{BC}$ in cm?

1. 4.7
2. 3.1
3. 7.4
4. 1.3

Q.

If 'X' represents the number of ends in a line and 'Y' represents the number of ends in a line segment, what is the value of 'Y−X' ?

1. 0
2. 3
3. 1
4. 2

Q. Line segment AB measures 14 cm. If XY is the perpendicular bisector to AB at O, what is the measure of AO?

1. 7 cm
2. 7.5 cm
3. 5 cm
4. 6 cm

Q.

If number of ends in a line is $X$ and the number of ends in a line segment is $Y$, then the value of $Y-X=$___

Q. Explain Perpendicular Bisector.

Q.

Length of AB is 16 cm . C is the midpoint of AB , then AC = ____ cm.

1. 10
2. 9
3. 8
4. 7

Q. A line segment does not have any end points.

1. False
2. True

Q. Construct a line segment LM of 10 cm.Draw a line parallel to LM at a distance of 1 cm from it.

Q. M is the midpoint of the line segment AB whose length is 26 cm. The length of line segment MB is ____.

1. 13.7 cm
2. 13 cm
3. 24 cm
4. 12 cm