Question

Lines k and l are parallel. Lines m and n intersect lines k and l to form 2 triangles. The top triangle has angles 1, 2, 3. The bottom triangle has angles 4, 5, 6.
Given k Is parallel to l, what can you conclude about these triangles? Check all that apply.
Vertical angles prove Angle1 Is congruent to Angle4.
Alternate exterior angles prove Angle5 Is congruent to Angle3.
Angle5 and Angle3 are alternate interior angles.
The ratios of the corresponding angles are equivalent.
The triangles are similar because all corresponding angles are congruent.

Answer 1

Correct choices:
- Vertical angles prove Angle1 is congruent to Angle4. (True — 1 and 4 are vertical angles.)
- The triangles are similar because all corresponding angles are congruent. (True — 1≅4, 2≅5 and 3≅6 so all corresponding angles match.)

Not correct:
- Alternate exterior angles prove Angle5 is congruent to Angle3. (False — 5 corresponds to 2, and 3 corresponds to 6, so 5 and 3 are not an alternate-exterior pair.)
- Angle5 and Angle3 are alternate interior angles. (False — they lie on different transversals and are not alternate interior with respect to the same transversal.)
- The ratios of the corresponding angles are equivalent. (Misstated/false — we compare angle measures for congruence; similarity gives equal ratios of corresponding sides, not meaningful “ratios of angles.”)