Question

1. Rotate ABC 180° about the origin making

DEF.

List all congruent sides and angles:

Answer 1

∠ABC≅∠DEF

∠BCA≅∠EFD

∠CAB≅∠FDE

AB≅DE, BC≅EF, CA≅FD

Explanation:

To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A

The same goes for points B and C

Angles at pair of given and rotated point are congruent.

Sides of triangle are congruent if they lay between two congruent angles.