HGeom - 9.3 Rotation Review & Symmetry

Honors Geometry
9.3 Rotation Review & Symmetry

Multiple Choice

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)

• (-4,3)

• (4,-3)

• (3,4)

Multiple Choice

Triangle ABC was transformed using the rule (x, y) → (–y, x). Assuming the rotation was counterclockwise. The vertices of the triangles are shown.

A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

Which best describes the transformation?

• The transformation was a 90° rotation about the origin

• The transformation was a 180° rotation about the origin.

• The transformation was a 270° rotation about the origin.

• The transformation was a 360° rotation about the origin.

Multiple Choice

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?

• (3, -4)

• (-4, -3)

• (4, 3)

• (-3, 4)

Multiple Choice

What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).

• (-4, 1)

• (-1, -4)

• (1, -4)

• (4, -1)

Multiple Choice

Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?

• (5, 3)

• (-5, -3)

• (3, -5)

• (-5, 3)

Multiple Choice

What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ?

• (-1, 2)

• (2, -1)

• (-2, -1)

• (-1, -2)

Multiple Select

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed 180 degree counterclockwise.

Which statements are true regarding the transformation? Select three options.

• The rule for the transformation is (x, y) → (–x, –y).

• The coordinates of L' are (–2,–2).

• The coordinates of M' are (–4,4).

• The coordinates of N' are (6,–1).

• The coordinates of N' are (–1,–6).

Multiple Choice

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Labelling

Match the correct notation with the pre-image and image points. All rotations are counter clockwise.

Drag labels to their correct position on the image

Multiple Choice

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)S (3, 1)T (1, 6) R' (–1, –1)S' (–3, –1)T' (–1, –6)

Which best describes the transformation? 

• The transformation was a 90° rotation about the origin.

• The transformation was a 180° rotation about the origin.

• The transformation was a 270° rotation about the origin.

• The transformation was a 360° rotation about the origin.

Multiple Choice

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Graphing

Plot the image after a rotation of 180 degrees.

Symmetry

• When an object is exactly the same as another object even if it is moved, rotated or flipped.

• Lots of real-world examples.

• "Fold" the object in half and have it perfectly overlap. (oddly-satisfying!)

Poll

Symmetric?

• Yes

• No

Poll

Symmetric?

• Yes

• No

Poll

Symmetric?

• Yes

• No

Lines of Symmetry

Cutting an object in half with a line so that it creates symmetric parts. (Folded perfectly)

Multiple Choice

How many lines of symmetry does this shape have?

• 1
• 2
• 3
• 4

Multiple Choice

Determine the number of lines of symmetry for the figure.

• 0

• 1

• 3

• 6

Multiple Choice

How many lines of symmetry does the butterfly have?

• 1
• 2
• 3
• 4

Rotational Symmetry

• When you rotate an object and it looks exactly the same.

• Order of rotation: the number of times a object looks the same as it is being rotated 360 degrees (in a circle).

• Magnitude of rotation: the angle of rotation in which the object looks the same as it goes around in a circle.

Multiple Choice

What is the order of rotation in the recycling symbol?

• 1
• 2
• 3
• 1,000

Multiple Choice

Determine the angle of rotational symmetry (magnitude) for the figure.

• None

• 60°

• 120°

• 180°

Multiple Choice

What is the order and angle of rotation (magnitude) of the flag?

• Order 2, 180 degrees

• Order 4, 90 degrees

• Order 3, 120 degrees

• Order 1, 360 degrees

Exit Ticket

Multiple Choice

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

• Rotational

• Line

• Both

• Neither

Multiple Choice

Is there line symmetry, rotational symmetry, or both?

• Both
• Neither

• Only rotational symmetry
• Only line symmetry

Open Ended

What could be a potential test question on this topic?