Units 5 & 6 Midterm Review

Front

What is a 270° counterclockwise rotation?

Back

A transformation that rotates a figure 270 degrees in the counterclockwise direction around a fixed point.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is a 90° clockwise rotation?

Back

A transformation that rotates a figure 90 degrees in the clockwise direction around a fixed point.

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Front

How do you perform a translation of a point?

Back

To translate a point (x, y) using the rule (x, y) → (x + a, y + b), add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What are the coordinates of a point after a dilation with a scale factor of 4?

Back

If the original point is (x, y), after dilation it becomes (4x, 4y).

Front

What is the result of translating point K(4, 2) using the rule (x, y) → (x + 3, y - 1)?

Back

The new coordinates of K' are (7, 1).

Front

What is the difference between rotation and translation?

Back

Rotation turns a figure around a point, while translation slides a figure from one position to another without changing its orientation.

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).