Question

Which construction is illustrated above?

a) a parallel line to a given like from a point not on the line
b) the bisector of an angle
c) an angle congruent to a given angle
d) a perpendicular to a given line from a point on the line

Answer 1

C. An angle congruent to a given angle.

Explanation:

We are given a construction in the figure and are required to find which construction is done.

The angles depicted in the figure are known as 'corresponding angles' i.e. the angles having same position at the intersection of two lines.

Now, when two lines are parallel the corresponding angles are always equal.

As, we can see from the figure that there are two parallel lines and a line intersecting both the lines and so, the corresponding angles will be equal.

Hence, the figure shows the construction of an angle congruent to a given angle.

Answer 2

The image attached illustrates , option C- an angle congruent to a given angle.