Geometry Transformations Review

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to create a new shape. The main types of transformations are translations, rotations, reflections, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the rule for a translation 2 units right and 5 units up?

Back

The rule for this translation is (x, y) → (x + 2, y + 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the reflection of a point over the y-axis?

Back

To find the reflection of a point (x, y) over the y-axis, change the sign of the x-coordinate. The reflected point will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for a point reflected over the x-axis?

Back

The line of reflection for a point reflected over the x-axis is the x-axis itself.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a fixed point, while a reflection flips a figure over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the arrow notation for a dilation that reduces a figure by a factor of 0.5?

Back

The arrow notation for this dilation is (x, y) → (0.5x, 0.5y).

Tags

CCSS.8.G.A.3

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for a rotation of 90 degrees counterclockwise around the origin?

Back

The rule for a 90-degree counterclockwise rotation around the origin is (x, y) → (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5