Unit 10 Test

In the diagram below, ABE is the image of ACD after a dilation centered at the origin. The ratio of the lengths of AE to AD is

• 2/3

• 3/4

• 3/2

• 4/3

In the diagram below of right triangle ABC, an altitude is drawn to hypotenuse AB. Which proportion would always represent a correct relationship of the segments?

• c/z = z/y

• c/a = z/y

• x/z = z/y

• y/b = b/x

Which of the following properties is preserved after a dilation of a figure?

I. angle measure

II. distance

III. parallelism

• I only

• I, II, and III

• I and III

• II only

The line y = 2x – 4 is dilated by a scale factor of 3/2 and centered at the origin. Which equation represents the image of the line after the dilation?

• y = 2x - 4

• y = 2x - 6

• y = 3x - 4

• y = 3x - 6

The center of circle Q has coordinates (3, -2). If circle Q passes through R (7, 1), what is the length of its diameter?

• 50

• 25

• 10

• 5

The lengths of two sides of a triangle are 7 and 11. Which inequality represents all possible values for x, the length of the third side of the triangle?

• 4 < x < 18

• 4 < x < 18

• 4 < x < 18

• 4 < x < 18

Two triangles are similar, and the ratio of each pair of corresponding sides is 2:1. Which statement(s) regarding the two triangles is true?

I. Their areas have a ratio of 4:1

II. Their perimeters have a ratio of 2:1.

III. Their corresponding angles have a ratio of 2:1.

• I only

• I and III only

• I and II only

• I, II, and III

In the diagram of parallelogram FRED shown below, is extended to A, and is drawn such that AF is congruent to DF. If <FDE = 124 what is m<AFD?

• 124

• 112

• 68

• 56

In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 36 and AC = 12, what is the length of AD?

• 32

• 6

• 3

• 4

Which regular polygon has a minimum rotation of 45

to carry the polygon onto itself

• octagon

• decagon

• hexagon

• pentagon