Chapter 1: Tools of Geometry

Which of the following statements is true?

• line BC intersects plane M at point C.

• line BC intersects plane M at point B.

• The intersection of and plane M is line CB

• line BC intersects plane M in two points.

How many planes appear in the figure shown?

• 7

• 8

• 6

• 9

Find the distance between C (-5, 4) and Q (2, 0).

• sqrt 22

• sqrt 33

• sqrt 53

• sqrt 65

Find DF if D is between E and F, ED = 6x - 4, DF = 3x + 5, and

EF = 46.

• 20

• 22

• 26

• 28

Find x if Q is the midpoint of PQ = 19, and PR = 8x + 14.

• 14

• 7

• 3

• 3/8

Find the coordinates of point M if S(-4, 5) is the midpoint of line MP and the coordinates of P are (-8, 8).

• (0, 2)

• (0, -2)

• (-2, 0)

• (6, 6.5)

Which of the following best describes angle AGF?

• right

• obtuse

• straight

• acute

if  $m\angle DGE$ = 52 and $\angle FGE$  is a right angle, what is the measure of  $\angle DGF$ ?

• 38

• 71

• 142

• 45

The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle.

• 130

• 40

• 50

• 60

An angle is double its complement. Find the angle.

• 60

• 30

• 45

• 90