Geometric Transformations Review 2024

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same shape and size, but may be in different positions or orientations.

Tags

CCSS.8.G.A.2

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you translate a point (x, y) 4 units to the right?

Back

To translate the point (x, y) 4 units to the right, add 4 to the x-coordinate: the new point is (x+4, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point (x, y) 90° counter-clockwise about the origin?

Back

To rotate the point (x, y) 90° counter-clockwise about the origin, the new coordinates become (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a dilation on a figure?

Back

A dilation changes the size of a figure but keeps its shape the same, either enlarging or reducing it.

Tags

CCSS.8.G.A.3

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate: the new point is (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3