Symmetry and Transformation Test Review

Figure ABC in the coordinate plane has vertices at (2, 1), (-6, 4), and (-3, -2). If the figure is translated 5 units to the right and 2 units up, what are the coordinates of the A'B'C'?

• (-2, -1), (-6, 4), (3, 2)

• (-3, -2), (-6, 4), (2, 1)

• (7, 3), (-1, 6), (2, 0)

• (0, 6), (-8, 9), (-5, 3)

Tags

CCSS.HSG.CO.A.2

Lesley and Marc are designing a new logo. They start by creating a triangle shape in the lower left quadrant as shown below. They transform it by rotating the triangle shown above 90° clockwise about the origin. What does the new design look like?

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Look at the image and preimage below. The coordinate notation for the transformation shown is

• (x,y) → (x + 7, y + 9)

• (x,y) → (x - 7, y + 9)

• (x,y) → (x + 7, y - 9)

• (x,y) → (x - 7, y - 9)

Tags

CCSS.HSG.CO.A.2

Rectangle R is drawn on a coordinate grid with vertices (-4, 4), (-2, 2), (-1, 7), and (1, 5). Suppose that R is reflected about the y-axis and then rotated 90 degrees clockwise about the origin. Which of the following shows the image R' that results?

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CCSS.8.G.A.3

Which best describes the sequence of the transformation given in the graph?

• Rotate ΔABC 90° clockwise about the origin and then reflect across the y-axis.

• Rotate ΔABC 90° counterclockwise about the origin and then reflect across the y-axis.

• Reflect ΔABC across the y-axis and then rotate 90° clockwise about the origin.

• Reflect ΔABC across the y-axis and then rotate 90° counterclockwise about the origin.

Tags

CCSS.8.G.A.3

Which geometric figure has 72° rotational symmetry?

• Regular hexagon

• Rhombus

• Square

• Regular pentagon

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CCSS.HSG.CO.A.4

Determine if the following figure has any lines of symmetry. The rectangle has ______ line(s) of symmetry.

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CCSS.4.G.A.3

Look at the figure above. Check the statements that are true.

• The figure has both lines of symmetry AND rotational symmetry.

• The figure has only 2 lines of symmetry.

• The figure has 90* angle of rotational symmetry.

Tags

CCSS.HSG.CO.A.4

Which figure has both rotational and reflectional symmetry?

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Tags

CCSS.HSG.CO.A.4

Which figure has 180° rotation symmetry?

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Tags

CCSS.HSG.CO.A.4