Deck 1: Preliminary Concepts

Question 1

Suppose that and are complementary. If m and m , find x .

Answer 1

NOT ANSWERED.

Question 2

When lines and intersect at point , it follows that .

Answer 2

False

Question 3

Points A , B , and C are collinear. If AB = 12 and BC = 7, find the two possible lengths of .

Answer 3

NOT ANSWERED.

Question 4

For two intersecting lines, and are a pair of vertical angles formed. Given that m and m , find the value of x .

A)x = 12
B)x = 24
C)x = 36
D)x = 72

Question 5

The adjacent angles shown are complementary. If m while m , find an expression for the measure of the right angle in terms of x and y .

Question 6

Points A, B, C, and D are collinear so that A-B-C-D. If AB = 7, AC = 11, and CD = 6, then AD equals:

A)12
B)15
C)17
D)24

Question 7

and are adjacent angles. Where m and m , we have and . Find m .

A)33 °
B)36 °
C)38 °
D)40 °

Question 8

If m and m , find m .

Question 9

If bisects and m = 4 x 20, then m = 2 x 20.

Question 10

If AB = 7.4 and BC = 13.7, then AC = 20.1.

Question 11

If m , m , and m = 73 ° , find x .

Question 12

and intersect at point E . If m and m , find x .

Question 13

Where and , it follows that .

Question 14

Point M is the midpoint of . If AM = 12 and AB = 5 x 6, find x :

A)x = 3.6
B)x = 6
C)x = 7.2
D)None of These

Question 15

and are complementary. Also, m = 38.6 ° and and are vertical angles.Find m .

Question 16

If and are vertical angles with m = 2 x 5 and m = 39, then x = 17.

Question 17

Given lines and m with , it follows that:

A)
B)
C)
D)None of These

Question 18

Given that and   , it follows that:

A)
B)
C)
D)

Question 19

If B is the midpoint of line segment AC and AB = 3.6, then AC = 7.2.

Question 20

If m , m , and m , find x .

A)x = 8
B)x = 8.25
C)x = 8.5
D)x = 8.75

Question 21

If , , and , find x .

Question 22

Points A, B, C, and D are collinear in the order A-B-C-D. If AC = 10.8 inches,BD = 7.7 inches, and BC = 3.2 inches, find AD.

Question 23

Let and be a pair of adjacent angles for which m = 37 ° and m = 49 ° . If bisects and bisects , find m .