Translations & Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the reflected point is (-x, y).

Front

What does a reflection do to a geometric figure?

Back

A reflection flips a figure over a line (axis), creating a mirror image of the original figure.

Front

What is the result of reflecting the point (3, 5) over the x-axis?

Back

The reflected point is (3, -5).

Front

What is the result of reflecting the point (-2, 4) over the y-axis?

Back

The reflected point is (2, 4).

Front

What is the effect of translating a point (x, y) by (a, b)?

Back

The new point after translation is (x + a, y + b).

Front

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

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

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

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

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

Back

Look for consistent changes in the coordinates of corresponding vertices; the same change should apply to all points.

Front

What is the transformation from triangle ABC to triangle A'B'C' if A(1, 2) moves to A'(3, 5)?

Back

The transformation is a translation by (2, 3).