Question

Provide the missing reasons for the proof.

Given: (AB) || (RS)

Prove: QA/QR= QB/QS

Answer 1

Explanation:

1) Given

2) <Q is congruent to <Q by reflexive prop of congruence

3) <QBA is congruent to <QSR by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR by AA theorem

5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)