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Page 1: Symmetry & Congruence

Symmetry & Congruence

Reflections Rotations TranslationsSymmetry/

CongruenceCoordinates

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

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Reflections 100

How many lines of symmetry does the object have?

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Reflections100

None

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Reflections200

How many lines of symmetry does the object have?

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Reflections200

One

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Reflections300

How many lines of symmetry does the object have?

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Reflections300

Infinite

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Reflections400

How many lines of symmetry does the object have?

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Reflections400

None

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Rotations100

What is the angle of rotation?

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Rotations100

360 degrees

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Rotations200

What is the angle of rotation?

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Rotations200

90 degrees

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Rotations300

What is the angle of rotation?

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Rotations300

51.4 degrees

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Rotations400

What is the angle of rotation?

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Rotations400

360 degrees

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Translations100

Does the image translate? If yes, what is the basic image.

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Translations100

yes

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Translations200

Does the image translate? If yes, what is the basic image.

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Translations200

yes

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Translations300

Does the image translate? If yes, what is the basic image.

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Translations300

yes

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Translations400

• Does the image translate? If so, what is the basic design?

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Translations400

Yes

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Symmetry & Congruence100

A

B C

M

N

O

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Symmetry & Congruence100

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Symmetry & Congruence200

A

B

C

D

H

I

J

K

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Symmetry & Congruence200

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Symmetry & Congruence300

• List all 8 triangles in rectangle ADCD.

A B

C D

M

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Symmetry & Congruence300AMB

BMD

CMD

AMC

ACD

ABD

CAB

CDB

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Symmetry & Congruence400

List all the triangles which are congruent to triangle

AMC. What type of symmetry did you use?

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Symmetry & Congruence400

DMB(180 rotation) or BMD(vert. reflection)

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Coordinates100

1 2 3 4 5 6 7–1–2–3–4–5–6–7 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

Write the coordinate points for rectangle MNOP

M N

O P

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Coordinates100

M: (2,4)N: (6,4)O: (2,2)P: (6,2)

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Coordinates200

Write the coordinates of the image as if it was reflected over the x-axis.M: (2,4), N: (6,4), O: (2,2),P: (6,2)

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Coordinates200

M(2,-4)N(6,-4)O(2,-2)P(6,-2)

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Coordinates300

Write the coordinates of the image as if it was translated left 6 and down 4.M: (2,4), N: (6,4), O: (2,2),P: (6,2)

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Coordinates300

M(-4,0)N(0,0)O(-4,-2)P(0,-2)

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Coordinates400

Write the coordinates of the image as if it was rotated 180 degrees.M: (2,4), N: (6,4), O: (2,2),P: (6,2)

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Coordinates400

M(-2,-4)N(-6,-4)O(-2,-2)P(-6,-2)


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