Question

Isosceles triangle XYZ with angle X congruent angle Z? How do you construct?

Answer 1

The construction is given below.

Explanation:

we have to construct an isosceles triangle XYZ with angle X congruent angle Z. The steps of construction are

Step 1 : Construct a segment of any length XZ.

Step 2 : Adjust the compass such that it is greater than half of the segment and then put the needle of compass once at point X and then point Z and draw arc from both points.

Step 3 : Draw the segments from the two endpoints X and Z to the point where the two arcs intersect i.e at point Y.

By above steps of construction Isosceles triangle XYZ with angle X congruent angle Z is constructed.