Practice Test

Question 13 • Geometry

Which graph shows a dilation?

Answer

Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 1 comma 0), (negative 1 comma 1), and (2 comma 0), and the vertices of the larger triangle are (negative 2 comma 0), (negative 2 comma 3), and (4 comma 0).

Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 2 coma 0), (negative 2 comma 2), and (1 comma 0), and the vertices of the larger triangle are (negative 3 comma 0), (negative 3 comma 4), and (2 comma 0).

Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 2 comma 0), (negative 2 comma 1), and (0 comma 0), and the vertices of the larger triangle are (negative 3 comma 0), (negative 3 comma 4), and (2 comma 0).

Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 1 comma 0), (negative 1 comma 2), and (3 comma 0), and the vertices of the larger triangle are (negative 2 comma 0), (negative 2 comma 3), and (4 comma 0).

Explanation

A dilation multiplies every length by the same scale factor. In choice A, the smaller triangle has a base of 4 units and a height of 2 units; the larger has a base of 6 units and a height of 3 units. Both lengths are multiplied by 1.5, so choice A shows a dilation.

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