Dilations and Similarity Points

Multiple Choice

Segment $$AB$$ measures 3 cm. Point $$O$$ is the center of dilation. How long is the image of $$AB$$ after a dilation with a scale factor of 5?

• 10 cm
• 15 cm
• 12 cm
• 20 cm

Multiple Choice

Segment $$AB$$ measures 3 cm. Point $$O$$ is the center of dilation. How long is the image of $$AB$$ after a dilation with a scale factor of 3.7?

• 11.1 cm
• 12.4 cm
• 10 cm
• 7.5 cm

Multiple Choice

Segment $$AB$$ measures 3 cm. Point $$O$$ is the center of dilation. How long is the image of $$AB$$ after a dilation with a scale factor of $$\frac 1 5$$ ?

• 0.3 cm
• 2 cm
• 1.5 cm
• 0.6 cm

Multiple Choice

Segment $$AB$$ measures 3 cm. Point $$O$$ is the center of dilation. How long is the image of $$AB$$ after a dilation with a scale factor of $$s$$ ?

• 3s + 1 cm
• 4 cm
• 2s cm
• 3s cm

Draw

Plot the point $$C$$ which is the image of $$B$$ using $$A$$ as the center of dilation and a scale factor of 2.

Draw

Plot the point $$D$$ which is the image of $$A$$ using $$B$$ as the center of dilation and a scale factor of 2.

Draw

Plot the point $$E$$ which is the image of $$B$$ using $$A$$ as the center of dilation and a scale factor of $$\frac 1 2$$ .

Draw

Plot the point $$F$$ which is the image of $$A$$ using $$B$$ as the center of dilation and a scale factor of $$\frac 1 2$$ .

Draw

Make a perspective drawing. Include in your work the center of dilation, the shape you dilate, and the scale factor you use.

Multiple Choice

Which of the following reasons can be used to convince Jada that $$B’C’D’$$ is not a dilation of $$BCD$$ using $$A$$ as the center of dilation?

• B'C'D' is a reflection of BCD across line AC.
• B'C'D' is a rotation of BCD around point A.
• B'C'D' has different angles or non-proportional lengths compared to BCD.
• B'C'D' has the same angles as BCD.