Geometry Symmetry

Which transformations would result in a the square being in the same location? (There are multiple correct answers.)

• A 90° counter-clockwise rotation about the origin

• A reflection over the line x = 5.

• A 90° counter-clockwise rotation about the point (5, -5)

• A reflection over the line y = - x.

• A 270° rotation about the point (5, -5)

Which figure has a 60° angle of rotational symmetry?

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If a regular hexagon is rotated about it's center, which angles would result in the hexagon being mapped back onto itself? (There are multiple correct answers.)

• 45°

• 60°

• 90°

• 120°

• 180°

Which transformation does NOT cause x and y to switch places?

• A 90° Rotation

• A 180° Rotation

• A 270° Rotation

• A Reflection about the line y = x

• A Reflection about the line y = -x

The coordinates of triangle JRB are J(1, -2) , R(-3, 6) and B(4, 5). The triangle is reflected over the y-axis and then translated 2 right and 1 down. What are the the co-ordinates of triangle J'R'B'?

• (3, 1), (-1, -7), (6, -6)

• (3, -3), (-1, 5), (6, 4)

• (1, -3), (5, 5), (-2, 4)

• (-1, -2), (3, 6), (-4, 5)

What series of transformations occurred to the pentagon?

• It translated to the right 2 and down 3, then it reflected over the y-axis.

• It reflected over the x-axis, then translated left 2 and up 3.

• It rotated 90° counter-clockwise about the origin, then reflected over the y-axis.

• It reflected over the y-axis, then translated right 4 and up 3.

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Name the transformation.

• Translation
• Reflection
• Rotation

The image shows what type of transformation

• Rotation
• Translation
• Reflection