Illustrative Math Lesson 1.5

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

If a point is at (x, y) and is translated 3 units down, what are the new coordinates?

Back

The new coordinates will be (x, y - 3).

Front

What happens to the y-coordinate of a point when it is translated upward?

Back

The y-coordinate increases by the number of units moved upward.

Front

If Point E is at (0, -3) and is translated 3 units downward, what are the new coordinates?

Back

(0, -6) because -3 - 3 = -6.

Front

If Point B is at (-4, 5) and is translated 8 units to the right, what are the new coordinates?

Back

(4, 5) because -4 + 8 = 4.

Front

What is the effect of translating a point 8 units down?

Back

The y-coordinate of the point decreases by 8.

Front

If Point A is at (0.5, 4) and is translated 8 units down, what are the new coordinates?

Back

(0.5, -4) because 4 - 8 = -4.

Front

If Point C is at (7, -2) and is translated 2 units up, what are the new coordinates?

Back

(7, 0) because -2 + 2 = 0.

Front

What is the effect of translating a point 6 units to the left?

Back

The x-coordinate of the point decreases by 6.

Front

If Point D is at (6, 0) and is translated 6 units to the left, what are the new coordinates?

Back

(0, 0) because 6 - 6 = 0.