Similarity and Transformations

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

• 2

• 4

• 8

• 16

Tags

CCSS.8.G.A.3

Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) were dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of C'?

• (2, -1)

• (8, -4)

• (8, 4)

• (2, 1)

Tags

CCSS.8.G.A.3

The image shows what type of transformation

• Rotation

• Translation

• Reflection across the x axis

• Reflection across the y axis

Tags

CCSS.HSG.CO.B.6

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.3

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

Which scale factor shrinks a figure?

• k = 0

• k =2

• k= 1/3

• k = 1

Tags

CCSS.8.G.A.3

Are the following similar? Why or why not?

• Yes. The ratios of the corresponding sides are equal.

• No. The ratios of the corresponding sides are not equal.

Tags

CCSS.HSG.SRT.A.2

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent and the sides are proportional.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Tags

CCSS.HSG.SRT.A.2

All angles in similar figures are congruent.  

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6