Dilations & Similarity

Let  $\Delta XYZ$ be the dilated image of  $\Delta ABC$ with a scale factor of k = 3. Which of the following is the correct center of dilation?

• (0, 0)

• (4, 1)

• (-5, 5)

• (1, 4)

Tags

CCSS.8.G.A.3

Let  $\Delta XYZ$ be the dilated image of  $\Delta ABC$ with a scale factor of k = 3. Which of the following is the correct center of dilation?

• (0, 0)

• (4, 1)

• (-5, 5)

• (1, 4)

Which of the following must be true in order for  $\Delta BCD\sim\Delta RST$ ? 

• a = 12 b = 8

• a = 24 b = 16

• a = 6, b = 4

• a = 11, b = 13

Tags

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)

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Let $\Delta DEF$ be dilated by a scale factor of ½ to form the image  $\Delta RST$ . Let RS be 12 inches long. How long is DE? 

• 12 inches

• 24 inches  

• 6 inches

• The length of DE cannot be determined.

Tags

CCSS.8.G.A.3

What is Dilation?

• Dilation means to enlarge or reduce
• Dilation means to reflect on something
• Dilation means to like something
• Dilation means to make something different by making it smaller

Tags

CCSS.8.G.A.3

Does the image show a dilation?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.1

Does the image show a Dilation?

• Yes
• No

Tags

CCSS.HSG.CO.A.2

Choose the correct scale factor:

• 2.5
• 1.5
• 3.5
• 4

Tags

CCSS.8.G.A.3