A dilation is which of the following:

Either an enlargement or a reduction

Neither an enlargement or a reduction

Triangle DEF is dilated to produce triangle D'E'F' with a scale factor of 2/3. Which describes the relationship between the two triangles?

Triangle D'E'F' is a reduction of triangle DEF.

Triangle D'E'F' is an enlargement of triangle DEF.

Triangle D'E'F' is a mirror image of triangle DEF.

Triangle D'E'F' is congruent to triangle DEF.

Figure 1 and figure 2 are similar. Which sequence of transformations maps figure 1 to figure 2?

(x,y) > (2x,2y) followed by (x,y) > (-x,y)

(x,y) > (2x,2y) followed by (x,y) > (x,-y)

(x,y) > (1/2x,1/2y) followed by (x,y) > (x,-y)

(x,y) > (1/2x,1/2y) followed by (x,y) > (-x,y)

A parallelogram has vertices A(2,2), B(-4,2), C(-3,3), and D(0,2). Parallelogram ABCD is transformed to parallelogram A"B"C"D" by a dilation with the origin as the center of dilation and a scale factor of 4 followed by a reflection across the y-axis. Find the coordinates of the vertices of A"B"C"D".

A"(-8,8) B"(16,8) C"(12,12) D"(0,8)

A"(1/2,1/2) B"(-1,1/4) C"(-3/4,3/4) D"(0,1/2)

A"(8,8) B"(-16,8) C"(-12,12) D"(0,8)

A"(4,4) B"(-8,4) C"(-6,6) D"(0,4)

Dilate the figure by a scale factor of 1.5 with the origin as the center of dilation. What are the vertices of the image?

A'(1.5,-6) B'(6,-6) C'(6,-3) D'(1.5,-3)

A'(1,-4) B'(4,-4) C'(4,-2) D'(1,-2)

A'(2,-8) B'(8,-8) C'(8,-4) D'(2,-4)

A'(0.5,-2) B'(2,-2) C'(2,-1) D'(0.5,-1)

Dilate the figure by a scale factor of 0.5. What are the vertices of the image?

A'(0.5,-2) B'(2,-2) C'(2,-1) D'(0.5,-1)

A'(1,-4) B'(4,-4) C'(4,-2) D'(1,-2)

A'(2,-8) B'(8,-8) C'(8,-4) D'(2,-4)

A'(1.5,-6) B'(6,-6) C'(6,-3) D'(1.5,-3)

Dilate the figure by a scale factor of 2.5 with the origin as the center of dilation. What are the vertices of the image?

A'(2.5,-10) B'(10,-10) C'(10,-5) D'(2.5,-10)

A'(1,-4) B'(4,-4) C'(4,-2) D'(1,-2)

A'(0.5,-2) B'(2,-2) C'(2,-1) D'(0.5,-1)

A'(1.5,-6) B'(6,-6) C'(6,-3) D'(1.5,-3)

Triangle DEF is dilated to produce triangle D'E'F' with a scale factor of 5/3. Which describes the relationship between the two triangles?

Triangle D'E'F' is an enlargement of triangle DEF.

Triangle D'E'F' is a mirror image of triangle DEF.

Triangle D'E'F' is congruent to triangle DEF.

Triangle D'E'F' is a reduction of triangle DEF.

Triangle DEF is dilated to produce triangle D'E'F' with a scale factor of 1. Which describes the relationship between the two triangles?

Triangle D'E'F' is congruent to triangle DEF.

Triangle D'E'F' is an enlargement of triangle DEF.

Triangle D'E'F' is a mirror image of triangle DEF.

Triangle D'E'F' is a reduction of triangle DEF.

Which two rectangles are similar?

Rectangles 1 and 2 are similar.

Rectangles 1 and 3 are similar.

Rectangles 2 and 3 are similar.

Which two triangles are similar?

Rectangles A and C are similar.

Rectangles A and B are similar.

Rectangles B and C are similar.

Which two triangles are similar?

Rectangles 1 and 2 are similar.

Rectangles 1 and 3 are similar.

Rectangles 2 and 3 are similar.

Which set of vertices forms a figure that is similar but NOT congruent to the figure shown?

(-7,-1) (-4,-1) (-7,-3) (-4,-3)

A parallelogram has vertices A(2,2), B(-4,2), C(-3,3), and D(0,2). Parallelogram ABCD is transformed to parallelogram A"B"C"D" by a dilation with the origin as the center of dilation and a scale factor of 2 followed by a reflection across the y-axis. Find the coordinates of the vertices of A"B"C"D".

A"(-4,4) B"(8,4) C"(6,6) D"(0,4)

A"(1/2,1/2) B"(-1,1/4) C"(-3/4,3/4) D"(0,1/2)

A"(8,8) B"(-16,8) C"(-12,12) D"(0,8)

A"(-8,8) B"(16,8) C"(12,12) D"(0,8)

Two objects that are similar will be the...

different shape, different size

dilations

Quiz

•

Mathematics

•

KG - University

•

Practice Problem

•

Medium

•

CCSS

8.G.A.3

Standards-aligned

Used 40+ times

FREE Resource

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50 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the correct scale factor:

1/3

1/2

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Dilate Point B by a scale factor of 1/2

(1.5,-4)

(-1.5,1)

(-1,-1.5)

(-2,-2)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Dilate Point B by a scale factor of 3:

(12,0)

(12,12)

(4,3)

(0,12)

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Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

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?