Lesson 05: More Dilations | Unit 2: Dilations, Similarity, and Introducing Slope

Draw

Triangles B and C have been built by dilating Triangle A. Find the center of dilation.

Multiple Choice

Triangles B and C have been built by dilating Triangle A. Triangle B is a dilation of A with approximately what scale factor?

• Approximately 2.
• Approximately 0.5
• Approximately 3
• Approximately 1.5

Multiple Choice

Triangles B and C have been built by dilating Triangle A. Triangle A is a dilation of B with approximately what scale factor?

• Approximately 3:1
• Approximately 1:1
• Approximately 1:2
• Approximately 2:1

Multiple Choice

Triangles B and C have been built by dilating Triangle A. Triangle B is a dilation of C with approximately what scale factor?

• 0.5
• 0.25
• 2.0
• 1.0

Draw

Draw the dilation of triangle $$ABC$$ , with center $$(0,0)$$ , and scale factor 2. Label this triangle $$A’B’C’$$ .

Draw

Draw the dilation of triangle $$ABC$$ , with center $$(0,0)$$ , and scale factor $$\frac{1}{2}$$ . Label this triangle $$A’’B’’C’’$$ .

Multiple Choice

Is $$A’’B’’C’’$$ a dilation of triangle $$A’B’C’$$ ? If yes, what are the center of dilation and the scale factor?

• No, the center of dilation is O (1, 1) and the scale factor is 3.
• Yes, the center of dilation is O (0, 0) and the scale factor is 1.
• Yes, the center of dilation is O (2, 2) and the scale factor is 0.5.
• Yes, the center of dilation is O (0, 0) and the scale factor is 2.

Draw

Quadrilateral $$ABCD$$ is dilated with center $$(0,0)$$ , taking $$B$$ to $$B'$$ . Draw $$A'B'C'D'$$ .

Multiple Choice

The diagram shows 2 nested triangles that share a vertex. What is the center and scale factor for a dilation that would move the larger triangle to the smaller triangle?

• Center: Midpoint of the base; Scale factor: L/S
• Center: Origin; Scale factor: 1:2
• Center: Any vertex of the larger triangle; Scale factor: S+L
• Center: Shared vertex; Scale factor: S/L (where S is the side length of the smaller triangle and L is the side length of the larger triangle).