Geometric Transformations Review

Front

What is the algebraic representation for a dilation?

Back

(x, y) → (kx, ky) where k is the scale factor.

Tags

CCSS.8.G.A.3

Front

What does it mean for geometric figures to be congruent?

Back

Congruent geometric figures have the same size and same shape.

Tags

CCSS.8.G.A.2

Front

How do you translate a point (x, y) 7 units down and 4 units right?

Back

The new coordinates will be (x + 4, y - 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point V(-3, 7) after a 270° rotation about the origin?

Back

V’(7, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 180° about the origin?

Back

The coordinates (x, y) become (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for a translation in the coordinate plane?

Back

(x, y) → (x + a, y + b) where (a, b) is the translation vector.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the line y = x on a point (x, y)?

Back

The new coordinates will be (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the distance from the center of dilation to a point and the distance from the center to its image.

Tags

CCSS.8.G.A.3