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

Define translation in geometry.

Back

Translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

How do you perform a 90° clockwise rotation about the origin?

Back

To perform a 90° clockwise rotation, switch the coordinates (x, y) to (y, -x).

Front

How do you perform a 90° counterclockwise rotation about the origin?

Back

To perform a 90° counterclockwise rotation, switch the coordinates (x, y) to (-y, x).

Front

What is the effect of translating a point (3, 2) by 4 units to the right and 1 unit up?

Back

The new coordinates will be (3+4, 2+1) = (7, 3).

Front

If point A is at (2, 3) and is reflected across the y-axis, where is point A'?

Back

Point A' will be at (-2, 3) after reflection across the y-axis.

Front

What is the result of translating point B(5, -2) 3 units left and 4 units down?

Back

The new coordinates will be (5-3, -2-4) = (2, -6).