Explore Geometric Transformations

Front

What happens when you translate a point in geometry?

Back

You add or subtract a number to the x and y coordinates.

Front

What are translations, reflections, and rotations collectively known as?

Back

Transformations.

Front

What is the transformation from triangle ABC to triangle A'B'C' if it is reflected across the x-axis?

Back

Reflection across the x-axis.

Front

If triangle A is rotated 90° counterclockwise around the origin, which triangle shows the new location?

Back

Triangle D.

Front

What is the rule for rotating a point 270° clockwise?

Back

(x, y) → (-y, x).

Front

Define translation in geometric transformations.

Back

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

Front

What is a reflection in geometry?

Back

A reflection flips a shape over a line, creating a mirror image.

Front

What is a rotation in geometric transformations?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is the effect of a 90° clockwise rotation on the coordinates (x, y)?

Back

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

Front

What is the effect of a 180° rotation on the coordinates (x, y)?

Back

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