Question

Which construction is being shown in the diagram?

A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle

Answer 1

Answer: Option d

Step-by-step explanation: just took test

Answer 2

Correct answer is option D) Construct the bisector of an angle.

Explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of
`\angle ABC` if

`\angle ABD = \angle CBD`

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of
`\angle QPR`.

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between
`\angle QPR`.

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of
`\angle QPR`.

So, Correct answer is option D) Construct the bisector of an angle.