GEO Topic 3 Test: Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves size and shape of a figure.

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What does a 180° clockwise rotation around the origin do to a point (x, y)?

Back

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

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

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

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

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

Front

How do you perform a translation of a point (x, y) by the vector <2, -1>?

Back

Add 2 to the x-coordinate and subtract 1 from the y-coordinate: (x+2, y-1).

Front

What is the result of a 90° counterclockwise rotation around the origin on a point (x, y)?

Back

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

Front

What is the result of a 90° clockwise rotation around the origin on a point (x, y)?

Back

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

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a translation by <3, 2>?

Back

(4, 4), (6, 6), (8, 8).

Front

What does it mean for a transformation to preserve size and shape?

Back

The figure remains congruent to the original figure after the transformation.