Proportionality and Dilations

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

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CCSS.HSG.SRT.A.2

Figure I and Figure II are similar pentagons. Which proportion must be true?

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CCSS.HSG.SRT.A.2

Figure I and Figure II are similar figures. What proportion must be true?

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CCSS.HSG.SRT.A.2

Figure I and Figure II are similar quadrilaterals. Which proportion must be true?

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CCSS.HSG.SRT.A.2

If the scale factor is greater than 1, the dilation is (a)  

• an enlargement

• a rotation

• a translation

• a reduction

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CCSS.8.G.A.3

a transformation that ​changes the size (enlargement or reduction) of a figure is called a ​ ​ ​ (a)  

• dilation

• rotation

• reflection

• translation

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CCSS.8.G.A.3

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

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CCSS.8.G.A.3

A dilation (a)   orientation

• preserves

• doesn not preserve

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CCSS.8.G.A.3

In the diagram a person who is 6 ft tall is standing on the ground 3 feet away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?

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CCSS.HSG.SRT.B.5

A fixed point on a plane, and the starting point from which we measure distances in a dilation.

• center of dilation

• translation

• rigid transformation

• line of reflection

Answer explanation

The center of a dilation is a fixed point on a plane. It is the starting point from which we measure distances in a dilation.

In this diagram, point P is the center of the dilation.

Tags

CCSS.8.G.A.3