Topic Review: Dilations and similarity

Lesson

Practice

Adaptive

Worksheet

Interactive practice questions

Consider the following triangles:

Which of these triangles are similar?

Give a suitable reason for their similarity.

All corresponding sides are in the same ratio.

All corresponding angles are equal.

Two angles are equal and one side is a multiple of the corresponding side of the other.

Easy

1min

Consider the following shapes:

Easy

1min

Consider the two similar triangles.

Easy

1min

Which pair of triangles are similar?

Medium

< 1min

Outcomes

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.G.A.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.A.5

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Topic Review: Dilations and similarity

Interactive practice questions

Outcomes

8.EE.B.6

8.G.A.3

8.G.A.4

8.G.A.5

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