Test 4--Rigid Transformations Final

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 does it mean to reflect a point across the x-axis?

Back

To reflect a point across the x-axis, you change the sign of the y-coordinate. For example, the reflection of (a, b) is (a, -b).

Front

What does it mean to rotate a point 90 degrees counterclockwise?

Back

To rotate a point 90 degrees counterclockwise, you switch the coordinates and change the sign of the new x-coordinate. For example, the rotation of (x, y) becomes (-y, x).

Front

What is a translation in geometry?

Back

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

Front

How do you find the coordinates of a point after a 180-degree rotation?

Back

To find the coordinates after a 180-degree rotation, you change the signs of both coordinates. For example, (x, y) becomes (-x, -y).

Front

What is the result of reflecting the point (3, -2) across the y-axis?

Back

The reflection of (3, -2) across the y-axis is (-3, -2).

Front

What happens to the coordinates of a point when it is reflected across the line y = x?

Back

When a point (a, b) is reflected across the line y = x, the coordinates switch places, resulting in (b, a).

Front

What is the effect of a 270-degree counterclockwise rotation on a point?

Back

A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The point (x, y) becomes (y, -x).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line, creating a mirror image.

Front

What are the coordinates of the point (2, 3) after a reflection across the x-axis?

Back

The coordinates of the point (2, 3) after a reflection across the x-axis are (2, -3).