Question

Which basic construction if shown here?

A) bisect an angle

B) bisect a like segment

C) construct a parallel line

D) copy a line segment

Answer 1

a

Explanation:

usatestprep

Answer 2

A

Explanation:

Consider triangle OAM and OBM. In these triangles,

• OA is congruent to OB as radii of one circle;
• AM is congruent to BM as radii of two congruent circles;
• OM is congruent to OM by reflexive property (this side is common).

Thus, triangles OAM and OBM are congruent by SSS postulate.

Congruent triangles have congruent corresponding parts, so

`\angle AOM\cong \angle BOM`

Hence, OM is angle AOB bisector.