Geometric Transformations

Front

What is a Translation in geometric transformations?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a Rotation in geometric transformations?

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

What is a Reflection in geometric transformations?

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

Write the algebraic notation for a translation that moves a point 3 units right and 2 units up.

Back

(x, y) --> (x + 3, y + 2)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

(x, y) --> (-x, y)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Write the algebraic notation for a rotation of 90 degrees counterclockwise around the origin.

Back

(x, y) --> (-y, x)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a reflection on the shape of a figure?

Back

A reflection creates a mirror image of the figure, preserving its shape and size.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a rotation on the shape of a figure?

Back

A rotation preserves the shape and size of the figure, but changes its orientation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Describe the transformation: A triangle is moved 5 units left and 3 units down.

Back

Translation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3