Unit 5 Review

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a figure in a plane. This can include translations, rotations, reflections, and dilations.

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule for reflecting a point (x, y) across the x-axis is (x, -y).

Front

What is the rule for reflecting a point across the y-axis?

Back

The rule for reflecting a point (x, y) across the y-axis is (-x, y).

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you set up a proportion to find a missing side in similar triangles?

Back

To set up a proportion, you can use the ratio of the lengths of corresponding sides of the triangles. For example, if triangle ABC is similar to triangle DEF, then AB/DE = AC/DF.

Front

What is the coordinate notation for a 90-degree rotation counterclockwise?

Back

The coordinate notation for a 90-degree rotation counterclockwise is (x, y) → (-y, x).

Front

What is the coordinate notation for a 180-degree rotation?

Back

The coordinate notation for a 180-degree rotation is (x, y) → (-x, -y).

Front

What is the coordinate notation for a 270-degree rotation counterclockwise?

Back

The coordinate notation for a 270-degree rotation counterclockwise is (x, y) → (y, -x).

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).