Deck 2: Line and Angle Relationships

Question 1

According to the Angle-Addition Postulate, m   m = m .

Answer 1

False

Question 2

Name the property that justifies the following conclusion:
If , then .

Answer 2

NOT ANSWERED.

Question 3

Given that and are complementary, what conclusion may you draw?

Answer 3

NOT ANSWERED.

Question 4

can also be called .

Question 5

The relation between lines, "is perpendicular to," has a transitive property.

Question 6

Where x is the measure of an angle and 0° x 90°, the angle is an obtuse angle.

Question 7

Points A, B, and C are said to be collinear if they lie on a line.

Question 8

An angle is the union of two rays that have a common endpoint.

Question 9

In geometry, what is a postulate?

A)statement that defines a term
B)statement that must be proved
C)a type of geometric figure
D)None of These

Question 10

In this figure, and are complementary. Also, and are complementary. Regarding and , what conclusion may you draw?

Question 11

If m = x and 90 ° x 180 ° , then is a(n):

A)acute angle
B)right angle
C)obtuse angle
D)straight angle

Question 12

Considering the definitions and postulates of geometry, which of the following is a correct statement?

A)An angle has more than one angle-bisector.
B)A line segment has two midpoints.
C)A line segment has two endpoints.
D)A plane contains exactly three noncollinear points.

Question 13

For a construction problem, which instrument could you use?

A)calculator
B)protractor
C)tape measure
D)compass

Question 14

Consider the definition: An isosceles triangle is a triangle that has two congruent sides. Which result must follow from the definition?

A)If is isosceles, then it has two congruent angles.
B)If in , then is an isosceles triangle.
C)If has two congruent sides, then has two congruent angles.
D)None of These

Question 15

A postulate is accepted without proof while a theorem is a statement that must be proved.

Question 16

In the figure, and are known as vertical angles.

Question 17

Which property justifies this conclusion? If X is a point on and R - X - S , then .

A)Segment-Addition Postulate
B)Line-Addition Postulate
C)Ruler Postulate
D)None of These

Question 18

Points A , B , and C are collinear on horizontal line segment . Point D lies above . If m is 14 ° larger than m , find m .

Question 19

Consider a set of lines. Which is a property of the relation "is perpendicular to" for lines?

A)Reflexive
B)Symmetric
C)Transitive
D)None of These

Question 20

Which is not a method of reasoning used in geometry?

A)construction
B)induction
C)intuition
D)deduction

Question 21

Given that , which operation leads to the conclusion that ?

A)adding 3 to each side of the equation
B)adding -3 to each side of the equation
C)subtracting -3 from each side of the equation
D)None of These

Question 22

If and are complementary, then each of these angles 1 and 2 is acute.

Question 23

With and point G in the interior of , and are complementary.

Question 24

If , then it can be proved that:

A)
B) is a right angle
C) bisects
D)None of These

Question 25

and are supplementary. is acute. What type of angle is ?

Question 26

When using induction, one draws a conclusion based upon numerous examples or test results.

Question 27

and intersect at point E . If is a right angle, what relationship exists between and ?

Question 28

Given A - B - C and m while m , it follows that:

A)
B)
C)
D)None of These

Question 29

The exterior sides of adjacent angles 1 and 2 are perpendicular. If is the bisector of and is the bisector of , find the measure of .

Question 30

Because it has rained the past 4 days, a person's intuition can be used to conclude that it will definitely rain again tomorrow.

Question 31

If two rays are opposite rays, then their union is a straight line.

Question 32

Consider the noncollinear points A, B, C, and D. By using two points at a time, find the total number of lines that they determine.

Question 33

If M is the midpoint of , then it can be proved that:

A)N is also the midpoint of .
B)
C)
D)None of These

Question 34

If ray BD bisects , then .

Question 35

Given that , you can prove that:

A)x = 2
B)x = 15
C)x = 16
D)None of These