Which series of transformation can be used to create the image E′F′G′ from the pre-image EFG?

a rotation of 180° around the origin and a translation 1 unit to the right

a translation 1 unit to the right and a rotation of 180° around the origin

a reflection across the y-axis and a translation 11 units to the left

a translation 11 units to the left and a reflection across the x-axis

Which two transformations map figure A onto figure B?

a reflection across the x-axis and a translation 5 units to the right

a reflection across the x-axis and a translation 1 unit to the right

a reflection across the y-axis and a translation 1 unit to the right

a reflection across the y-axis and a translation 5 units to the right

Triangles ABC and A'B'C' are shown in the coordinate plane. Which statement describes a sequence of transformations that can be used to verify that triangle A'B'C' is similar to triangle ABC ?

Reflect triangle ABC across the y -axis, followed by a dilation with a scale factor of 1/2 about the origin.

Reflect triangle ABC across the x -axis, followed by a dilation with a scale factor of 2 about the origin.

Reflect triangle ABC across the x -axis, followed by a dilation with a scale factor of 1/2 about the origin.

Reflect triangle ABC across the y -axis, followed by a dilation with a scale factor of 2 about the origin.

Which of the following best describes the triangles shown? Lessons 7-1 and 7-2

Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1.

Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1.

Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle 1.

Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle 1.

Which series of transformations shows that rectangle A is similar to rectangle B? Lesson 7-3

Rotate rectangle A 180° about the point (-1, -1), dilate it by a scale factor of two, and translate it one unit up and five units to the left.

Rotate rectangle A 180° about the origin, dilate it by a scale factor of two, and reflect it across the x -axis.

Rotate rectangle A 180° about the point (-1, -1), dilate it by a scale factor of two, and reflect it across the y -axis.

Rotate rectangle A 180° about the origin, dilate it by a scale factor of two, and translate it five units to the left.

6-1, Question 2: What are the coordinates of the image of WXYZ after a reflection across the y-axis?

W' (4, -2), X' (1, -2), Y' (1, -4), Z' (4, -4)

W' (-4, -2), X' (-1, -2), Y' (-1, -4), Z' (-4, -4)

W' (-4, 2), X' (-1, 2), Y' (-1, 4), Z' (-4, 4)

W' (4, 2), X' (1, 2), Y' (1, 4), Z' (4, 4)

6-3, Question 1: What are the coordinates of the image of quadrilateral STUV after a 180° rotation about the origin?

S' (4, 2), T' (2, 2), U' (2, 4), V' (4, 4)

S' (-4, -2), T' (-2, -2), U' (-2, -4), V' (-4, -4)

S' (-2, 4), T' (-2, 2), U' (-4, 2), V' (-4, 4)

S' (2, -4), T' (2, -2), U' (4, -2), V' (4, -4)

6-3, Question 2: What are the coordinates of the image of quadrilateral STUV after a 270° rotation about the origin?

S' (-2, 4), T' (-2, 2), U' (-4, 2), V' (-4, 4)

S' (-4, -2), T' (-2, -2), U' (-2, -4), V' (-4, -4)

S' (2, -4), T' (2, -2), U' (4, -2), V' (4, -4)

S' (4, 2), T' (2, 2), U' (2, 4), V' (4, 4)

This figure depicts the image of rectangle PQRS after a transformation. Which transformation produced the image P'Q'R'S'?

a 90 0 counterclockwise rotation about the point (0,0)

a 180 0 counterclockwise rotation about the point (0,0)

a translation of four units to the right

Select ALL transformations of triangle ABC that would result in a congruent image

translation 5 units right and 6 units up

rotation $$180\degree$$ around the origin

dilation by a scale factor of $$\frac{1}{2}$$

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Mathematics

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8th Grade

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Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.CO.A.2, 8.G.A.4

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Determine where X' would be if you translated 3 units to the left and 9 units down.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How is triangle ABC being translated to triangle A'B'C'?

up 3, left 8

up 9, left 4

down 3, right 8

down 9, right 4

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

pentagon M'N'P'Q'R' is larger than the preimage because the scale factor is less than 1

pentagon M'N'P'Q'R' is smaller than the preimage because the scale factor is less than 1

pentagon M'N'P'Q'R' is larger than the preimage because the scale factor is greater than 1

pentagon M'N'P'Q'R' is smaller than the preimage because the scale factor is greater than 1

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90 degrees clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.8.G.A.3

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Determine where X' would be if you translated 3 units to the left and 9 units down.

How is triangle ABC being translated to triangle A'B'C'?

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

The coordinate grid shows parallelogram PQRS.Parallelogram PQRS is rotated 90 degrees clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

Which series of transformation can be used to create the image E′F′G′ from the pre-image EFG?

Which two transformations map figure A onto figure B?

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Popular Resources on Wayground

Discover more resources for Mathematics

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90 degrees clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?