Identify Translations and Congruent Figures

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 3 units to the right and 6 units up?

Back

(x + 3, y + 6)

Front

If point T is at (2, -5), where will T' be after translating T 3 units to the right and 6 units up?

Back

(5, 1)

Front

If point X is at (-1, 5), where will X' be after translating X 3 units to the left and 9 units down?

Back

(-4, -4)

Front

What does it mean for two figures to be congruent?

Back

The figures are the same size and same shape.

Front

What is the effect of the translation (x, y) → (x, y - 4)?

Back

It moves every point of the figure 4 units down.

Front

What is the effect of the translation (x, y) → (x + 2, y)?

Back

It moves every point of the figure 2 units to the right.

Front

What is the effect of the translation (x, y) → (x - 3, y + 1)?

Back

It moves every point of the figure 3 units to the left and 1 unit up.

Front

What is the effect of the translation (x, y) → (x + 1, y - 3)?

Back

It moves every point of the figure 1 unit to the right and 3 units down.

Front

If two figures are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.