Question

Which construction is being shown in the diagram?

Answer 1

Answer:

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

Step-by-step 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.