A shape that is rotated, resized, or flipped is considered a ___, as these actions change the shape’s orientation or size.

Not a translation

If shape A is moved 4 squares left and 1 square down, the coordinates of its vertices are translated by ___.

(4 left, 1 down)

Riddle: I move in straight lines but do not change my form. What am I?

A translation

Coordinates on a grid are written as (___, ___), where the first is the horizontal position and the second is the vertical position.

X, y

In a translation, lines connecting corresponding vertices of the original and translated shapes are ___ and of equal length.

Parallel

What describes the distance moved during a translation?

The distance moved is described by specifying the horizontal and vertical distances.

For a rectangle with vertices at (1, 3), (5, 3), (5, 4), what are the coordinates of the fourth vertex?

The fourth vertex is (1, 4), completing the rectangle.

If shape A is translated 5 units to the right and 2 units up to become shape B, what is the reverse translation from B back to A?

The reverse translation subtracts (5, 2), moving left 5 units and down 2 units.

Fill in the blank: Coordinates (0, 2), (1, 4), (2, 6), (3, 8) form a linear pattern where y = ___x + 2.

2

True or False: The coordinates (6, 3), (6, 7), (8, 3) can determine a rectangle with a fourth vertex at (8, 7).

True

What linear equation can be derived from the pattern of coordinates (0, 2), (1, 4), (2, 6), (3, 8)?

The linear equation is y = 2x + 2.

Riddle: I start at (0, 2) and keep adding two to my y value for every step in x. What pattern do I follow?

You follow a linear pattern represented by the equation y = 2x + 2.

Fill in the blank: In a translation, each vertex of the original shape moves the same distance and direction to form the ___ shape.

Translated