In and , the side lengths are , , and , , . Which of the following is…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

\triangle GHI

and

\triangle JKL

, the side lengths are

GH = 4\text{ cm}

HI = 5\text{ cm}

GI = 6\text{ cm}

and

JK = 6\text{ cm}

KL = 7.5\text{ cm}

JL = 9\text{ cm}

. Which of the following is correct? (a) The triangles are similar with scale factor

\dfrac{2}{3}

(from

\triangle GHI

\triangle JKL

). (b) The triangles are not similar because the side ratios are unequal. (c) The triangles are similar with scale factor

\dfrac{3}{2}

(from

\triangle GHI

\triangle JKL

). (d) The triangles are congruent rather than similar.