4.1-4.2 CC Review

Front

What is the algebraic representation for reflecting a figure over the y-axis?

Back

(x, y) → (-x, y)

Front

What is the algebraic notation for reflecting a figure over the x-axis?

Back

(x, y) → (x, -y)

Front

What is the algebraic representation of translating a figure 3 units left and 5 units down?

Back

(x, y) → (x-3, y-5)

Front

What do we call the original figure prior to a transformation?

Back

Pre-image

Front

How do you find the pre-image of a point A' after a transformation?

Back

Use the inverse of the transformation applied to A'.

Front

What is the algebraic representation for translating a figure 2 units right and 4 units up?

Back

(x, y) → (x+2, y+4)

Front

What is the effect of reflecting a figure over the x-axis on its coordinates?

Back

The y-coordinates change sign.

Front

What is the effect of reflecting a figure over the y-axis on its coordinates?

Back

The x-coordinates change sign.

Front

What is the definition of a transformation in geometry?

Back

A transformation is a function that maps a figure onto a new figure.

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

Rigid transformations preserve distance and angle, while non-rigid transformations do not.