EOC Geometry Review 2

Front

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

Back

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

Front

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

Back

The new coordinates will be (x - 2, y + 3).

Front

What is the transformation rule for translating a point (x, y) to (x + a, y + b)?

Back

The transformation rule is (x, y) → (x + a, y + b).

Front

If you apply the transformation (x, y) → (y, -x) to the point (3, 4), what are the new coordinates?

Back

The new coordinates will be (4, -3).

Front

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

Back

A translation shifts every point of the shape by the same distance in a specified direction.

Front

What are the coordinates of point A' if point A(2, 3) is reflected over the y-axis?

Back

The coordinates of A' will be (-2, 3).

Front

What is the transformation rule for a reflection over the x-axis?

Back

The transformation rule is (x, y) → (x, -y).

Front

If triangle ABC is translated using the rule (x + 4, y - 2), what happens to the coordinates of point B(1, 1)?

Back

Point B will move to (5, -1).

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

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

Front

How do you identify a translation from one shape to another?

Back

Look for a consistent change in the coordinates of all points in the shape.