0580/21 May/Jun 2022, Question 19: Congruent Triangles: Proof Conditions
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Using the diagram with AB parallel to PQ and AQ, PB crossing at X where AX = XQ, complete statements giving matching angles, a congruence criterion, and a side equal to PX.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angle BAX = Angle PQX because they are alternate angles (AB parallel to PQ)
- 2Angle AXB = Angle PXQ because they are vertically opposite
- 3Two angles and the included side are equal: ASA
- 4PX = XB because the triangles are congruent
AnswerPQX and alternate PXQ and vertically opposite ASA XB
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Also searched as: 0580/21/M/J/22 · 0580_s22_qp_21 · 0580 s22 21 · question 19.
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