Unit 7 Review

80

A figure is reflected in two intersecting lines that form an angle of 40°. How many degrees will the figure be rotated?

translation of 4 inches

A figure is reflected in two parallel lines that are 2 inches apart. Which best describes the translation?

(12, 10)

Find the coordinates of X′ with X(6, 5) for a dilation centered at the origin with a scale factor of 2.

(-1, 9)

Find the image of A(3, 7) under a translation along (x-4, y+2).

72°

Find the magnitude of the rotational symmetry in a regular pentagon.

reflection in the x-axis

Given A(3, -7), under which reflection is A′(3, 7)?

4

How many lines of symmetry does a square have?

3/2

Joe's old graphing calculator had 96 pixels across the screen. His new calculator has 144 pixels. Find the scale factor by which he increased his screen size.

10-in. by 15-in.

Jon enlarges a 4-inch by 6-inch photograph by a scale factor of 2.5. What are the dimensions of the enlarged photograph?

translation along (x+2, y+2) and reflection in y-axis

Point E with coordinates (5, 7) is translated along a glide reflection to its image of E'(-7, 9). Which best describes the glide reflection?

(-1, -2)

Point K(-2, 1) is rotated 90° ccw about the origin. What are the coordinates of K′?

180

The point Y with coordinates (-8, 6) is rotated about the origin to Y'(8, -6). How many degrees counterclockwise was the point rotated?

A pair of reflections across two parallel lines

What combination of transformations will result in a translation?

(-1, 11)

What is the image of X(3, 5) translated along (x-4, y+6)?

enlargement

What type of dilation occurs with a scale factor of 3/2 ?

both axis and plane symmetry

Which best describes the symmetry of a bottle of soda?

translation

Which transformation moves all points the same distance in the same direction?

(4, -1)

△ABC has vertices A(-2, 1), B(-4, -1), and C(0, -1) and is reflected in the line x = 2. What is the coordinate of C′?