Geometric Transformations Review

Front

What is the algebraic notation for a translation of a figure 9 units right and 3 units down?

Back

(x, y) → (x + 9, y - 3)

Front

What is the algebraic representation for a dilation?

Back

(x, y) → (3x, 3y)

Front

What type of transformation is moving a figure without changing its shape or size?

Back

Translation

Front

How do you dilate a point B by a scale factor of 1/2 if B is at (3, -8)?

Back

(1.5, -4) - Dilation by 1/2 means multiplying the coordinates by 1/2.

Front

What is the original figure before a transformation called?

Back

Pre-image

Front

What is the result of reflecting a point (2, 3) over the x-axis?

Back

(2, -3) - The y-coordinate changes sign.

Front

What is the result of rotating a point (1, 2) 90 degrees counterclockwise around the origin?

Back

(-2, 1) - The coordinates change according to the rotation rules.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

The figure enlarges.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

The figure shrinks.

Front

What is the algebraic notation for reflecting a point (x, y) over the y-axis?

Back

(x, y) → (-x, y) - The x-coordinate changes sign.