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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 8/
  4. Unit 6/
  5. Dilations & Similarity
Grade 8 · Unit 6Topic 2 of 3~22 min

Dilations & Similarity

Resize figures by a scale factor to make similar shapes.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Dilations resize

A dilation multiplies the distance of each point from the center by the scale factor. Scale factor > 1 enlarges; between 0 and 1 shrinks.

Similar figures

Similar figures have equal corresponding angles and proportional corresponding sides. A dilation always produces a figure similar to the original.

Worked example

A point is at (4, 6). Dilate by a scale factor of 1/2 centered at the origin.

  1. →Multiply each coordinate by 1/2.
  2. →New point: (2, 3).
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

A short video that walks through this topic.

Khan Academy

Dilating Shapes

Scale a figure from the origin using a scale factor.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Dilations & similarity

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Dilations & Similarity

Question 1 of 2

Medium

Dilate (10, 4) by a scale factor of 1/2 from the origin. What is the image?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 3Transformations→Next up · Topic 3 of 3Angles & Parallel Lines