7+ Unit 4 Flashcard Study Guide: 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 does it mean to translate a figure?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its 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 new point will be (-x, y).

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Front

Describe a reflection across the x-axis.

Back

A reflection across the x-axis changes the sign of the y-coordinate of each point. For example, (x, y) becomes (x, -y).

Front

What are the coordinates after a 180° rotation of point (x, y)?

Back

After a 180° rotation, the coordinates (x, y) become (-x, -y).

Front

What is the rule for a translation of 4 units right and 3 units down?

Back

The rule for this translation is (x, y) → (x + 4, y - 3).

Front

How do you perform a reflection across the line y = -2?

Back

To reflect a point (x, y) across the line y = -2, you find the distance from the point to the line and move the same distance on the opposite side.

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation shifts the coordinates of a point by adding or subtracting values to/from the x and y coordinates.