Transformations review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation.

Tags

CCSS.8.G.A.3

Front

How do you determine if a transformation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Tags

CCSS.8.G.A.3

Front

What is the result of translating a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 180 degree rotation do to a point (x, y)?

Back

A 180 degree rotation transforms the point to (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic notation for a dilation with a scale factor of 1/2?

Back

(x, y) goes to (1/2x, 1/2y).

Tags

CCSS.8.G.A.3

Front

If a point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

The scale factor is 1/4.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point during a reflection over the x-axis?

Back

The coordinates change from (x, y) to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90 degree clockwise rotation on a point (x, y)?

Back

The point transforms to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5