Question

Construct an isosceles triangle with the given base and the opposite angle to the base.

Answer 1

Proof of Construction: The compass was used as a measuring tool to obtain (and copy) the length of the given segment. Since the given segment and the copy are the same length, the segments are congruent.

Note: You may also think of the length from A to B as being the radius of a circle with center at A. By copying the circle at A', the radii segments will be congruent.

Explanation:

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