Question
From the given diagram, what can be said about sides AC and PC?
- AC = PC
- AC > PC
- AC < PC
- AC ≠ PC
Hint:
According to ASA (Angle-Side-Angle) rule, triangles ABC and PQC are congruent
The correct answer is: AC = PC
We can see in the diagram that ∠B = ∠Q, BC = QC and since ∠ACB and ∠PCQ form pair of vertically opposite angles, ∠ACB = ∠PCQ.
Hence, according to ASA (Angle-Side-Angle) rule, triangles ABC and PQC are congruent therefore, AC = PC.
Hence, according to ASA (Angle-Side-Angle) rule, triangles ABC and PQC are congruent therefore, AC = PC.
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