Question

If △PQR∼△JKL
△
𝑃
𝑄
𝑅
∼
△
𝐽
𝐾
𝐿
, which statements are correct?

Answer 1

If △PQR ∼ △JKL (with vertices listed in corresponding order P→J, Q→K, R→L), the correct statements are:

- Corresponding angles are congruent:
- ∠P ≅ ∠J, ∠Q ≅ ∠K, ∠R ≅ ∠L.

- Corresponding sides are proportional:
- PQ/JK = QR/KL = RP/JL (or PQ : JK = QR : KL = RP : JL).
- PQ corresponds to JK, QR corresponds to KL, and PR (or RP) corresponds to JL.

- Ratios involving perimeter and area:
- The ratio of perimeters = the common side ratio (scale factor).
- The ratio of areas = (scale factor)^2.

If you have a list of specific statements, paste them and I’ll mark which are true or false.