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Transformation of Shapes

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Transformation of Shapes
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units up to create an image. What are the vertices of the image and the algebraic rule that describes this transformation?

(6, 2), (8, 2), (8, 4), and (6, 4); (x + 5, y)

(1, 7), (3, 7), (3, 9), and (1, 9); (x, y + 5)

(1, –3), (3, –3), (3, –1), and (1, –1); (x, y – 5)

(1, –2), (3, –2), (3, –4), and (1, –4); (x, –y)

Tags

CCSS.HSG.CO.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Parallelogram RSOT is translated 4 units down and 5 units to the left to form parallelogram R'S'O'T'. Which statement is true?

Each side length of parallelogram RSOT is 2 times the corresponding side length of parallelogram R'S'O'T'.

The sum of the angle measures of parallelogram RSOT is greater than the sum of the angle measures of parallelogram R'S'O'T'.

Each side length of parallelogram RSOT is 1/2 times the corresponding side length of parallelogram R'S'O'T'.

Parallelogram RSOT is congruent to parallelogram R'S'O'T'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Elisa drew a triangle with coordinates (2, 4), (5, 3), and (7, 2). She drew an image of the triangle with coordinates (–1, 4), (2, 3), and (4, 2). Which rule best describes the transformation?

(x, y) → (x – 5, y)

(x, y) → (x + 3, y)

(x, y) → (x + 2, y)

(x, y) → (x – 3, y)

Tags

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Noah draws triangle ABC. Then, he translates that triangle using the rule (x + 2, y – 1) to create triangle A'B'C'. The measure of ∠A is 60 degrees. What is the measure of ∠A' in degrees?

59°

60°

62°

6 cm

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which sequence of transformations will map trapezoid A to its image A'?

Reflection, then a translation

Rotation, then a translation

Reflection, then a rotation

Rotation, then a dilation

Tags

CCSS.8.G.A.3

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Select all of the transformations that carry the square onto itself.

a reflection over the line

x = 3

a reflection over the line

y = -x

Tags

CCSS.HSG.CO.A.3

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Choose all of the following that will translate shape A to shape B.

(x,y) --> (x-5, y-3)

Horizontal -5

Vertical -3

5 Right

3 Up

Horizontal 5

Vertical 3

Tags

CCSS.HSG.CO.A.2

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