Select the correct transformation that maps ABDC to A'B'C'D'.

Rotation 90 CCW followed by translation 6 units down

Rotation 90 CW followed by translation 10 units to the left

Translation 6 units down followed by rotation 90 CW

Translation 10 units to the left followed by 90 CW rotation

Select all the possible transformations that map EFGH to E'F'G'H'.

X-axis reflection followed by translation 4 to the left

180 rotation followed by translation 6 to the right

Y-axis reflection followed by translation 6 to the right and 3 down

180 rotation followed by y-axis reflection

What transformation proves that EF is congruent to E'F'?

X axis reflection followed by translation left 1 and down 1

90 CW rotation followed by y=-x reflection

y=x reflection followed by translation left 8 and 1 down

180 rotation followed by translation 6 left and 2 down

Choose the correct similarity transformation.

Dilation with scales factor of 5/2 followed by 90 CCW rotation and then a translation 3 units to the left and 3 units down

Dilation using scale factor of 5/2 followed by a rotation 90 CCW

Dilation with a scale factor of 5/2 followed by a y-axis reflection

90 CCW rotation followed by 5/2 dilation

Select ALL that apply.

Dilation using 2 as scale factor followed by y-axis reflection.

Y axis reflection followed by dilation using scale factor of 2

X axis reflection followed by dilation using scale factor of 2

90 CCW rotation followed by dilation using scale factor of 2

Select the correct transformation.

Dilation using scale factor of 2/3 , followed by x-axis reflection

Y axis reflection followed by dilation with 2/3 as scale factor

90 CW rotation followed by dilation with 2/3 as scale factor

Dilation using scale factor of 2/3 followed by a 180 rotation

Choose the congruency transformation that proves the two pentagons to be congruent.

180 rotation followed by translation 1 to the right

X-axis reflecton followed by y-axis reflection

Reflection across line y=x followed by translation 1 to the right

Y-axis reflection followed by 180 rotation

Select the correct congruency transformation.

X-axis reflection, then translation 10 to the right

180 rotation, then y-axis reflection

Y-axis reflection, then x-axis reflection

Triangle EFG has vertices (-8,-4), (-8,0) and (4,0). Its image is E’F’G’ with vertices (3,6), (0,6) and (0,3) respectively. Which similarity transformation shows the two are similar?

Dilation using scale factor of 3/4 , followed by y-axis reflection, then a 90 CCW rotation

Dilation using scale factor of 4/3 , followed by y-axis reflection, then a 270 CCW rotation

Dilation using scale factor of 3/4 , followed by 180 rotation, then y-axis rotation

Dilation using scale factor of 4/3 , followed by 180 rotation, then y-axis rotation

ABC has vertices (9,-3), (3,5) and (5,9) respectively. Its image A’B’C’ has coordinates (-6,-3),(6,6) and (12,3). Which sequence of transformations can be applied to show the two triangles are similar.

Translation 7 left and 1 up, followed by 270 CCW rotation, then dilaton using 3/2 as scale factor

270 CCW rotaton, followed by translation 7 left and 1 up, then dilaton using 3/2 as scale factor

90 CCW rotaton, followed by translation 7 right and 1 down, then dilaton using 2/3 as scale factor

Translation 7 right and 1 up, followed by 90 CCW rotation, then dilaton using 2/3 as scale factor

Geometric Compositions

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

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

+3

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

Reflection over x-axis, then Rotation of 90 Degrees

Rotation of -90 Degrees, then Reflection over y-axis

Reflection over y-axis, then Rotation of -90 Degrees

Rotation of 90 Degrees, then Reflection over x-axis

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which answer shows a reflection across the y-axis?

a

b

c

d

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?

Translation

Rotation

Reflection

Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the blue is the pre-image and the red is the image, is this an enlargement or a reduction?

enlargement

reduction

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the sequence of transformations?

Reflect over the y then reflect over the x

Reflect over the x then reflect over the y

Translate 4 units then rotate 90˚

Rotate 90˚ then reflect over the x

Tags

CCSS.8.G.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations that map ABC onto A"B"C"

translate 5 up and 1 left then reflect over y

translate 5 down and 1 left, then reflect over y

reflect over y=x then translate left 8

reflect over x then rotate 90 clockwise

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation moves a geometric pre-image right, left, up or down?

Translation

Rotation

Reflection

Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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Geometric Compositions

20 questions

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

Which answer shows a reflection across the y-axis?

Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?

If the blue is the pre-image and the red is the image, is this an enlargement or a reduction?

What is the sequence of transformations?

Describe the transformations that map ABC onto A"B"C"

Which transformation moves a geometric pre-image right, left, up or down?

Which transformation flips an image across either the x or y axis?

Select the correct transformation that maps ABDC to A'B'C'D'.

Select all the possible transformations that map EFGH to E'F'G'H'.

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