ISEE Mathematics Achievement Question 12: Answer and Explanation

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Question: 12

12. Trapezoid GHJK is similar to trapezoid WXYZ.

Note: Figures not drawn to scale.

What is the length of side YZ?

  • A. 6 cm
  • B. 6y cm
  • C. 10 cm
  • D. 10y cm

Correct Answer: C

Explanation:

C

Set up a proportion: . Cross multiply: y? = 6 × y = 10y. Divide both sides by y: ? = 10.

Plug in a value for y, such as y = 3. Now set up the proportion: . Cross multiply and divide both sides by 3: ? = 10.

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