Geometric Transformations Review

Front

What is the algebraic representation for a dilation?

Back

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

Front

What does it mean for geometric figures to be congruent?

Back

Congruent geometric figures have the same size and same shape.

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).

Front

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

Back

V’(7, 3).

Front

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

Back

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

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.

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).

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).

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).

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.