Similar Triangles Quiz

Given the similar triangles ΔJKL ~ ΔNML, use a proportion to find the value of x.

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Given the similar triangles ΔDEF ~ ΔHJG, use a proportion to find the value of y.

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Given the similar triangles ΔQRS ~ ΔTUV, use a proportion to find the value of x.

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Given the similar triangles ΔABC ~ ΔADE, use a proportion to find the value of x.

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Given the similar triangles ΔMNP ~ ΔQRP, use a proportion to find the value of x.

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If \( \triangle ABCD \sim \triangle FGE \), and \( BC = 39 \), \( CD = 42 \), \( EF = 5x - 2 \), and \( FG = 4x + 2 \), what is the value of \( x \)?

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In the similar quadrilaterals \( KLMN \sim PQRS \), if \( KL = 4x + 4 \), \( KN = 7x - 9 \), \( PQ = 48 \), and \( PS = 60 \), what is the value of \( x \)?

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Given \( \triangle RST \sim \triangle YSZ \), with \( RS = 40 \), \( ST = 5 \), \( YZ = 2x + 2 \), and \( ZT = 3x - 7 \), find the value of \( x \).

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If \( \triangle CDE \sim \triangle FGE \), and \( DE = 21 \), \( CE = 8x - 1 \), \( FG = 17 \), and \( GE = 6x + 3 \), what is the value of \( x \)?

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If \( \triangle KLM \sim \triangle PQR \) with a scale factor of 3:5, and the perimeter of \( \triangle KLM \) is 33, what is the perimeter of \( \triangle PQR \)?

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