Construction of Angle.

Q. Points P and Q are in the line segment ab and on the same side of its midpoint. P divide ab in the ratio 3:4 and Q divides AB in the ratio 3:4. If PQ=2cm, then find the length of the line segment AB.

Q.

Construct angle ABC = ${45}^{\circ }$ in which BC = 5 cm and AB = 4.6 cm.

Q.

The number of arcs to be made to divide a line segment in the ratio 5:7 using a single ray are ___.

1. 5

2. 10

3. 12

4. 7

Q.

The number of cuts to be made on the ray AX to divide a line segment in the ratio m:n if only one ray were to be used is m+n.

1. False

2. True

Q.

A line segment AB was divided in the ratio m:n by making a single ray AX. The number of arcs to be drawn on AX in order to divide AB in that ratio is:

1. m

2. n

3. m+n

4. m-n

Q. Draw a line segment 16 cm long and draw its perpendicular bisector. Measure the length of each part......[4 marks]

Q.

The number of arcs that have to be drawn on ray BX which is at an acute angle to BC so as to divide BC in the ratio of 2:3.

1. 3

2. 5

3. 2

4. 6

Q.

The number of cuts to be made on the ray AX to divide a line segment in the ratio m:n, if only one ray were to be used is m+n.

1. False

2. True

Q. An angle bisector bisects an angle in ___ equal halves.

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

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

1. 30 degree
2. 75 degree
3. 40 degree
4. 105 degree

Q. Choose those times at which the minute hand of a clock is perpendicular to the hour hand.

1. 4:00
2. 9:00
3. 3:30
4. 6:30