Question

Use the image to answer the question.

A triangle is bisected by a vertical line that extends from its vertex to its base. The number 6 is marked near the center of the vertical line. The number 4 is marked near where the vertical line intersects the base of the triangle.

Marisol draws a triangle with a 4-inch base and 6-inch height. She dilates the triangle by a scale factor of 1.5. Compare the areas of the dilated triangle and the original triangle. Use a decimal response if necessary.

(1 point)

Answer 1

Original area = 1/2·4·6 = 12 in². After dilation by 1.5, area scales by 1.5² = 2.25, so new area = 12·2.25 = 27 in². The dilated triangle is 2.25 times (or 9:4) the area of the original.