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Congruence and transformations homework

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

How do you know if two figures are congruent?

a)

If the second figure can be obtained from the first by a series of rotations, reflections, and translations, then they are congruent.

b)

If the second figure can be obtained by adding 3 + 3 , then they are congruent.

c)

If the third figure can be obtained from the first by a series of rotations, reflections, and rotations, then they are congruent.

d)

If the fifty second figure can be determined from the twenty third be a list of ramen noodles, reflictions, and wrappers, then they are constant.

2.

Congruent figures are....

a)

The same size.

b)

The same shape.

c)

The same size and the same shape.

d)

The same shape, but not always the same size.

3.

Naomie purchased some custom printed stationery with her initials. What transformations could be used if the letter “Z” is the pre image and the letter “N” is the image in the design shown. Are the two figures congruent? Explain.

a)

Step 1 Start with the pre image. Rotate the letter “Z” 90º clockwise about point A. Step 2 Translate the new image to the right and up. A rotation and translation could be used to show that the two letters are the same size and shape. The letters are congruent.

b)

Step 1 Start with the pre image. Reflect the letter" Z " 90º clockwise about point A. Step 2 Rotate the new image to the left and down. A rotation and translation could be used to show that the two letter are the same size and shape. The letters are not congruent.

4.

What are the three types of congruence transformations?

a)

Reflections, rotations, translations.

b)

"Flips, turns, slides."

c)

"Flip flops, tunes, Nike slides."

d)

Reflections, rotators, transformers.

5.

If you reflect, rotate, and then translate quadrilateral ABCD, will quadrilateral EFGH be congruent to it.

a)

Yes, they will be congruent.

b)

No, they will not be congruent.

6.

Describe the transformation that occurred in this image

a)

Translation

b)

Reflection

c)

Rotation

7.

The original image prior to a transformation.

a)

Pre-image

b)

Image

8.

Translations are always

a)

Bigger

b)

Congruent

c)

Smaller

d)

Rotated

9.

Identify the transformation from ABC to A'B'C'

a)

90º counterclockwise rotation.

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90º clockwise rotation

10.

When you translate ( x, y + 6 ) it will move

a)

6 units up

b)

6 units down

c)

6 units left

d)

6 units right