HonorsGeometry HomeworkforSection1.6

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1.

2.

Using your compass and straight edge, reflect the pre-image over the given line of reflection.

240°

Using your compass and straight edge, rotate the pre-image 240° about point G.

G

HonorsGeometry HomeworkforSection1.6

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3.

4.

Translate the image one unit down and three units right.

y

x

270° Rotation rule:

x, y( ) → y, -x( )

C' 2, –3( )

B' 3, –6( )

A' 5, –2( )

B 6, 3( )

C 3, 2( )

A 2, 5( )

Using the rules we discussed, rotate the pre-image 270° about the origin.

B'

A'C'

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5.

6.

y

x

Rule for reflection across the line y = x:

x, y( ) → y, x( )

J' 8, –2( )

I' 3, –4( )

M' 2, –2( )

M –2, 2( )

I –4, 3( )

J –2, 8( )

Using the rules we discussed, reflect the pre-image over the given line of reflection.

y = x

I

M

J

The 4 of hearts and 6 of diamonds have 180° rotational symmetry.

None have reflectional symmetry!

Which of these cards have rotational symmetry? Which have reflectional symmetry?

HonorsGeometry HomeworkforSection1.6

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7.

8.

A, B, C, and F have reflectional symmetry.A has 4 lines of symmetry, B has 5, C has 1, and F has 1.

F.E.D.

C.B.A.

Which of these objects have relectional symmetry (or approximate reflectional symmetry)?If the object has reflectional symmetry, how many lines of symmetry are there?

A, B, D, and E have rotational symmetry.A has 90°, B has 72°, D has 45° (if you ignore the

center), and E has 3607

° (if you ignore the colors).

F.E.D.

C.B.A.