Year 9 Maths Core Congruence and Similar Figures

Test for Similar Triangles

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Questions

Question 1

59389

Which test can be used to prove that the given pair of triangles are similar?

SSS

SAS

AA (or equiangular)

RHS

Answer

RHS

Worked Solution

$$\begin{aligned}&\text{In both right-angled triangles, the pairs}\\
&\text{of hypotenuses and second sides are in}\\
&\text{the same ratio}\ \frac{13}{26}=\frac{12}{24}=\frac{1}{2}(R H S)\end{aligned}$$.

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