Applying the Properties of Dilation and Similarity

• x = 9

• x = 3.9

• x = - 0.26

• x = 9.95

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CCSS.HSG.SRT.A.2

• (0, 0)

• (4, 1)

• (-5, 5)

• (1, 4)

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CCSS.HSG.CO.A.2

• a = 12 b = 8

• a = 24 b = 16

• a = 6, b = 4

• a = 11, b = 13

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CCSS.HSG.SRT.A.2

Let triangle EFG be a mapped image, dilated about the origin, from triangle JKL with a scale factor k=4 with J(2,2), K(3,4), L(1,0). Which of the following are the coordinates for E?

• (12, 16)

• (8, 8)

• (4, 4)

• (4, 0)

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CCSS.8.G.A.3

• (-3, 2)

• (-2, 3)

• (-0.5, 0.5)

• (-2, 0.5) (-0.5, 0.5)

• (-2, -1)

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CCSS.8.G.A.3

• x = -14

• x = -9

• x = -19.67

• x = 7

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CCSS.HSG.SRT.A.2

Mr. Murphy designed a new logo for the NHS math team. Part of the logo includes a pair of similar triangles as shown in the figure below.

• The center of dilation for these triangles must be one of the vertices of the outside triangle.

• The center of dilation for these triangles must be one of the vertices of the inside triangle.

• The center of dilation for these triangles must be in the interior of the two triangles.

• The center of dilation for these triangles must be exterior to the two triangles.

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CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

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CCSS.7.G.A.1

• 12 inches

• 24 inches  

• 6 inches

• The length of DE cannot be determined.

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CCSS.8.G.A.3

If line segment AB is dilated about center P by a scale factor of ½ to form A’B’, which statement(s) is/are true? Choose all that apply. 

• AB and A’B’ are parallel. 

• A’B’ is twice as long as AB. 

• The endpoints of A’B’ are ½ the distance to P as the endpoints of AB. 

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CCSS.8.G.A.3