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General Mathematics · Unit 1 · Similarity and scale · Similar figures and scale factors

Understand the conditions for similarity of two-dimensional figures, including similar triangles.

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Question 1

Two triangular garden beds are planned for a community park. Triangle PQR has sides PQ = 3.6 m, QR = 4.8 m, and angle PQR = 65°. Triangle ABC is a proposed similar design where AB = 6.3 m and BC = 8.4 m. The table shows four possible angle measurements for angle ABC. Determine which angle would make triangle ABC similar to triangle PQR, and calculate the scale factor from triangle PQR to triangle ABC.

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