Geometry Dilations and Similarity Quiz: 10 Questions with Explanations

Geometry math quiz: Dilations and Similarity – Maths PDF

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This dilations quiz for Geometry covers dilations and similarity (Common Core G-SRT.A.1, G-SRT.A.2, G-SRT.A.3), with a free PDF to print.

Test your understanding of dilations and similarity with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-SRT.A.1, G-SRT.A.2, G-SRT.A.3

Dilations quiz: 10 questions

Question 1

A dilation with center at the origin and scale factor 4 maps (2, -3) to

Question 2

Dilation with center O and scale factor 2: every distance from O doubles.

The dilation shown maps triangle ABC to A’B’C’. What is the scale factor?

Question 3

Which quantity is NOT preserved by a dilation with scale factor 3?

Question 4

A triangle has area 12. A dilation with scale factor 5 gives a triangle of area

Question 5

Which similarity criterion applies to the triangles with the labeled angles?

Question 6

Triangles are similar with sides 5, 7, 9 and 15, 21, x. What is x?

Question 7

A dilation with scale factor 1/2 and center (0, 0) maps (10, -6) to

Question 8

The image of the line y = -x + 4 under a dilation with scale factor 2 about the origin is a line with slope

Question 9

A 6-foot pole casts a 9-foot shadow. A tree casts a 36-foot shadow. How tall is the tree?

Question 10

Dilate (4, 3) with center (1, 1) and scale factor 2. What is the image?

Remember

A dilation multiplies lengths by the scale factor k; with center at the origin, (x, y) goes to (kx, ky).
Dilations preserve angle measure and send lines to parallel lines.
Area is multiplied by k squared and perimeter by k.
A line through the center of dilation maps to itself.
AA: two congruent angle pairs prove triangles similar.

How to use this dilations quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the dilations quiz as a PDF with the button below and keep it with your notes.

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