Question

The diagram shows two lines, FG←→ and HJ←→ that intersect at point M. Drag the statements into a logical sequence to outline a proof that vertical angles ∠FMJ and ∠GMH are congruent. One statement has been placed for you.

Answer 1

Let's outline a logical sequence to prove that vertical angles ∠FMJ and ∠GMH are congruent.

1. ∠FMJ and ∠GMH are vertical angles because they are formed by the intersection of lines FG←→ and HJ←→.

2. Vertical angles are always congruent.

3. Therefore, ∠FMJ and ∠GMH are congruent.

By following this logical sequence, we can prove that ∠FMJ and ∠GMH are congruent.