Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line (axis) to create a mirror image.

Front

How does a 90° clockwise rotation affect the coordinates of a point (x, y)?

Back

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

Front

How does a 90° counterclockwise rotation affect the coordinates of a point (x, y)?

Back

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

Front

What is the effect of translating a point 5 units left and 1 unit up?

Back

The new coordinates of the point (x, y) will be (x - 5, y + 1).

Front

What is the line of reflection for the point (3, 4) reflected over the y-axis?

Back

The reflected point is (-3, 4). The line of reflection is the y-axis.

Front

What does it mean to 'flip' a shape in geometry?

Back

To 'flip' a shape means to reflect it over a line or axis.

Front

Can you build a triangle with angles 35°, 65°, and 100°?

Back

No, the sum of the angles must equal 180°. 35° + 65° + 100° = 200°.

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 translation in geometry?

Back

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