Construction of an Angle of 60 Degrees.

Q.

In the given figure if $\angle$ BAC = ${60}^{\circ }$, AB = AC = 6cm then find the length of BC.

1. AB=BC

2. BC = AC

3. AB=AC

4. none of the above

Q.

Draw a line segment BC = 4 cm. Construct angle ABC = ${60}^{\circ }$.

Q.

We can use the concept of an equilateral triangle to construct a 60${}^{\circ }$ angle.

1. True

2. False

Q.

Using a ruler and compasses, construct the following angle: $140°$

Q.

Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the $\angle BAO$ (in degrees)?

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Q.

In the process of construction of an angle with P as the centre and any radius, draw an arc as shown, which cuts in A. This is the first arc. With A as centre and the same radius, cut this arc in B. This would be the second arc. What will be the value of \(\angle BPA\)?

Q.

Your aim is to construct an angle $\angle$ YPX = ${30}^{\circ }$ using a compass and a straight edge only. What is the total number of arcs (not necessarily equal in length) to be drawn to construct an angle of ${30}^{\circ }$ after drawing the base ray PX?

1. 3 arcs

2. 4 arcs

3. 5 arcs

4. 6 arcs

Q.

For constructing an angle of ${60}^{\circ }$, we need to draw __ arc/arcs.

Q.

For constructing a right angle without a protractor, which of the following method/s is/are used?

1. Angle Bisector

2. ${60}^{\circ }$ angle construction

3. Median

4. Construction of triangle

Q.

To construct an angle of ${60}^{\circ }$ with a compass and ruler,

Steps of construction are:
Step1: Draw a ray AB
Step 2 will be

1. Taking D as center and any radius, draw an arc intersecting the previous arc at E
2. Using protractor, draw an angle
3. Taking D as center and same radius, draw an arc intersecting the previous arc at E
4. Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

Q.

A ray has _____________ end point(s).

Q. For constructing an angle of ${75}^{\circ }$

Steps of construction are:
Step 1: Draw ray AB
Step 2: Construct $\angle BAC={60}^{\circ }$
Step 3 will be

1. Bisect $\angle BAC$
2. Construct $\angle BAD={90}^{\circ }$
3. Construct $\angle BAD={60}^{\circ }$
4. Bisect $\angle CAD$

Q.

In the process of construction of ${45}^{\circ }$, which angle would be constructed first?

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${30}^{\circ }$
4. ${120}^{\circ }$