Question

This figure represents a step in a compass-and-straightedge construction. Identify the construction.

a congruent angle

a congruent line segment

a perpendicular bisector

an angle bisector

Answer 1

A congruent line segmeny

Answer 2

The figure represents the construction of a :

a congruent line segment.

Explanation:

The steps for the construction of a congruent line segment is given by:

1. Draw a line AB on the piece of paper.

2. Take a measurement on a compass more than halfway AB and keep the needle of the compass on A and draw an arc above and below AB.

3. Next put the needle of the compass on B and draw the arc that intersects the previous arcs.

4. Name the intersected point above AB as C and below AB as D.

5. Connect the point C to Point D.

6. The lien segment meets AB at some point let it denote by E.

7. Hence, we get line segment AE is congruent to line segment EB.