Transformations Introduction

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a given direction.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the transformation T -> (x-2, y+7) indicate?

Back

It indicates a translation 2 units to the left and 7 units up.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

If a figure is translated 2 spaces right and 1 space up, what happens to its size?

Back

The new figure would be the same size.

Front

What is the effect of a translation on the shape of a figure?

Back

A translation does not change the shape or size of the figure; it only changes its position.

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips it over a line.

Front

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

Back

The reflection of (x, y) over the x-axis is (x, -y).

Front

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

Back

The reflection of (x, y) over the y-axis is (-x, y).