Dilations Scale Factor Similarity Quiz – Geometry (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: G-SRT.A.1, G-SRT.A.2, G-SRT.A.3 · Level: Grade 10 Geometry

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What this Dilations, Scale Factor and Similar Figures quiz checks

• A dilation with scale factor k multiplies every distance from the center and every length by k.
• Angle measures do not change under a dilation.
• A line through the center stays the same; any other line maps to a parallel line.
• Similar figures have equal corresponding angles and proportional corresponding sides.
• Two pairs of congruent angles prove triangles similar (AA).

The 10 questions of the quiz

1. Dilate (2, −5) about the origin with scale factor 3. What is the image?
2. The figure shows a triangle and its dilated copy, both centered on the origin. By what factor is every length multiplied?
3. A dilation has scale factor 0.4. What does it do to a figure?
4. What happens to a line that passes through the center of a dilation?
5. Which quantity does a dilation always preserve?
6. Which pair of facts proves two triangles are similar by AA?
7. The triangles have marked congruent angles. Which similarity statement is correct?
8. A side of 6 becomes 15 under a dilation. What is the scale factor?
9. A triangle is dilated with scale factor 4. By what factor does its area change?
10. Dilate (2, 3) about the center (1, 1) with scale factor 3. What is the image?

After the quiz

Missed a question? Reread the Dilations, Scale Factor and Similar Figures lesson, then take the quiz again. Next, solve the Geometry worksheet on Dilations, Scale Factor and Similar Figures, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.