Geometry Transformations - Unit 3 Review

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of a point (x, y) 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The new point will be (-x, -y).

Front

What transformation occurs when a figure is reflected over the y-axis?

Back

The x-coordinates of the points change sign, resulting in (x, y) → (-x, y).

Front

If point (4, 9) is rotated 180° about the origin, what is the new point?

Back

(-4, -9)

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What is the effect of reflecting a point over the x-axis?

Back

The y-coordinate changes sign, resulting in (x, y) → (x, -y).

Front

How do you translate triangle A'B'C' to triangle ABC if the translation is (x + 2, y - 9)?

Back

You move each point of triangle A'B'C' 2 units to the right and 9 units down.

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point is (5, 2).

Front

What is a reflection in geometry?

Back

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