Proportions Dilations and Similar Figures

Let triangle XYZ be the dilated image of triangle 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.HSG.CO.A.2

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• BC

• AC

• MD

• MC

Tags

CCSS.HSG.SRT.B.4

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

Tags

CCSS.HSG.SRT.A.2

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  Find the length of AB to the nearest meter.

• 10

• 12

• 15

• 18

Tags

CCSS.HSG.SRT.B.4

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Tags

CCSS.HSG.SRT.A.2

Complete the following transformation if Triangle ABC is transformed to make similar Triangle DEF. Translate A to D. Rotate around Point D until D, E, and _____ are co-linear. Dilate by ______ with center D.

• Point B, Scale Factor EF/BC

• Point B, Scale Factor BC/EF

• Point C, Scale Factor EF/BC

• Point C, Scale Factor BC/EF

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.

Tags

CCSS.8.G.A.3

What is the value of X?

• X=4

• X=6

• X=3

• X=2

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2