Geometric Transformations

Identify the type of geometric transformation: A figure is flipped over a line.

• Dilation

• Reflection

• Rotation

• Translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Solve the problem: A triangle with vertices at (1, 2), (4, 3), and (2, 5) is reflected over the x-axis. What are the coordinates of the new vertices?

• (1, 2), (4, -3), (2, 5)

• (1, 2), (4, 3), (2, 5)

• (1, -2), (4, -3), (2, -5)

• (1, -2), (4, 3), (2, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Write the algebraic form for a translation 3 units to the right and 2 units down.

• (x - 3, y + 2)

• (x + 2, y - 3)

• (x - 2, y + 3)

• (x + 3, y - 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the type of geometric transformation: A figure is turned around a fixed point.

• Rotation

• Dilation

• Translation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Solve the problem: A rectangle with vertices at (2, 3), (6, 3), (6, 7), and (2, 7) is rotated 90 degrees counterclockwise about the origin. What are the coordinates of the new vertices?

• (3, 2), (3, 6), (7, 6), (7, 2)

• (5, 3), (9, 3), (9, 7), (5, 7)

• (3, -2), (3, -6), (-7, -6), (-7, -2)

• (2, 3), (6, 3), (6, 7), (2, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the type of geometric transformation: A figure is moved to a new location without changing its size or shape.

• Reflection

• Rotation

• Translation

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Solve the problem: A trapezoid with vertices at (1, 1), (4, 1), (3, 4), and (2, 4) is translated 5 units to the right and 3 units up. What are the coordinates of the new vertices?

• (6, 4), (9, 4), (8, 7), (7, 7)

• (2, 4), (5, 4), (4, 7), (3, 7)

• (6, 1), (9, 1), (8, 4), (7, 4)

• (10, 5), (13, 5), (12, 8), (11, 8)

Tags

CCSS.HSG.CO.A.2

Write the algebraic form for a reflection over the y-axis.

• (x, -y)

• (-x, -y)

• (-x, y)

• (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the type of geometric transformation: A figure is resized without changing its shape.

• Reflection

• Rotation

• Translation

• Dilation

Tags

CCSS.8.G.A.3

Identify the type of geometric transformation: A figure is moved around a fixed point without changing its size or shape.

• Reflection

• Rotation

• Translation

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5