Question

If in triangle DEF and triangle PQR, angle D congruent to angle Q, angle R congruent to angle E then which of the following statements is false?
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Answer 1

Step-by-step explanation:

If ∠D ≅∠Q, ∠R ≅ ∠E ⇒ ∠ F ≅ ∠ P and ΔDEF ~ ΔQRP

Two Δs are said to be similar if their corresponding angles are congruent and corresponding sides are in proportion. To easier indicate the corresponding sides it's important to put letters, which indicate the corresponding angles in order. Such as ΔDEF and ΔQRP.

1). EF / PR = PF / PQ (false, PF is not a side of any of given Δ)

2). DE / PQ = EF / RP (false, DE and PQ are not corresponding sides)

3). DE / QR = DF / PQ (true)

4). EF / RP = DE / QR (true)