Exploring Transformations in Geometry

What type of transformation is applied when a shape moves from one position to another without rotation?

• Dilation

• Reflection

• Translation

• Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation involves flipping a shape over a line?

• Reflection

• Translation

• Rotation

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which rule corresponds to a reflection over the x-axis?

• -x, y

• y, x

• x, -y

• -y, -x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of reflecting a point across the y=x line?

• (-x, -y)

• (y, x)

• (x, y)

• (-y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to a shape when it is rotated 180 degrees about the origin?

• It moves to a new position

• It enlarges

• It flips upside down

• It remains unchanged

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point at (3, 4) is translated using the rule (x-2, y+5), what is the new position?

• (5, 9)

• (1, -1)

• (5, 1)

• (1, 9)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new location of a point after a translation defined by the vector (-8, -11)?

• (3, 4)

• (-8, -11)

• (-3, -4)

• (8, 11)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What transformation is applied if a shape is enlarged by a factor of 2?

• Reflection

• Dilation

• Rotation

• Translation

Tags

CCSS.8.G.A.3

Which shape has both reflectional and rotational symmetry?

• Oblong

• Pentagon

• Heart

• Cross

Tags

CCSS.HSG.CO.A.4

What is the effect of a dilation with a scale factor of -1/2 on a shape?

• It reduces to half its size

• It flips and reduces to half its size

• It doubles in size

• It rotates by 180 degrees

Tags

CCSS.8.G.A.3