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Year 10 Maths - 10 Geometry

Proving and Applying Similar Triangles

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Question 1
206699

Triangle \(ABC\) has \(AB = 5\) cm, \(BC = 7\) cm and \(AC = 9\) cm.

Triangle \(PQR\) has \(PQ = 13.5\) cm, \(QR = 7.5\) cm and \(PR = 10.5\) cm.

a) Show that the triangles are similar, and state the scale factor from \(ABC\) to \(PQR\).

b) Write the similarity statement with the vertices in matching order.

Part a: a) scale factor \(=\) 
1.5
2 marks
Part b:
A.
\(\triangle ABC \sim \triangle PQR\)
B.
\(\triangle ABC \sim \triangle QRP\)
Correct
C.
\(\triangle ABC \sim \triangle RPQ\)
D.
\(\triangle ABC \sim \triangle PRQ\)

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