Geometry quiz 4

Flashcard maker : Lily Taylor
Select the postulate about two planes.
Postulate 5: If two planes intersect, then their intersection is a line.
Select the postulate that states a line is determined by two points.
Postulate 2: Through any two different points, exactly one line exists.
Select the postulate that specifies the minimum number of points in space.
Postulate 1b: Space contains at least four points not all on one plane.
Select the postulate that states points A and B lie in only one line.
Postulate 2: Through any two different points, exactly one line exists.
A table with four legs will sometimes wobble if one leg is shorter than the other three, but a table with three legs will not wobble. Select the postulate that substantiates this fact.
Postulate 3: Through any three points that are not one line, exactly one plane exists.
State the postulate that verifies AB is in plane Q when points A and B are in Q.
Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
Select the postulate that proves this fact.

If G and H are different points in plane R, then a third point exists in R not on GH.

Postulate 1a: A plane contains at least three points not all on one line.
How many lines are determined by two points?
1
Which of the following cannot be used to state a postulate?
theorems
Which of the following requires a proof?
theorem
Two planes intersect in exactly _____.
one line
If a ray lays in a plane, how many points of the ray are also in the plane?
all of the points
A plane contains how many lines?
infinite number of lines
If C is between A and B then AC + CB = AB.
always
Three points are collinear.
sometimes
Two planes intersect in exactly one point.
never
What are axioms in algebra called in geometry?
postulates
Select the postulate that is illustrated for the real numbers.

5 · 1 = 5

Multiplication identity
Select the postulate that is illustrated for the real numbers.

3 + 2 = 2 + 3

Commutative postulate for addition
Select the postulate that is illustrated for the real numbers.

2(x + 3) = 2x + 6

The distributive postulate
Select the postulate that is illustrated for the real numbers.

25 + 0 = 25

Additive identity
Select the postulate that is illustrated for the real numbers.

5 + (-5) = 0

The addition inverse postulate
Select the postulate that is illustrated for the real numbers.

6 + 0 = 6

The additive identity postulate
Select the postulate that is illustrated for the real numbers.

6 · 12 = 12 · 6

The commutative postulate for multiplication
Select the postulate that is illustrated for the real numbers.

3x + 3 = 3(x + 1)

The distributive postulate
Select the postulate of equality or inequality that is illustrated.

If 5 = x + 2, then x + 2 = 5

the symmetric postulate of equality
Select the postulate of equality or inequality that is illustrated.

3 + 2 5 and 3 + 2 = 5 are not both true.

comparison postulate
Select the postulate of equality or inequality that is illustrated.

If a < b and b < 2, then a < 2

the transitive postulate of inequality
Select the postulate of equality or inequality that is illustrated.

5 = 5

the reflexive postulate of equality
Which of the following is proved by utilizing deductive reasoning?
theorems
Intersecting lines are ____________ coplanar.
always
Two intersecting lines have ________ of point(s) in common.
one
What is the minimum number of intersecting lines that lay in a plane?
two
How many points are used to define a plane?
three
Two planes intersect in a _____.
line
A statement that is proved by deductive logic is called a ______.
theorem
Which of the following best describes an indirect proof?
Assume a statement true and then show it must be false.
Al is taller than Bob, and Bob is taller than Carl. Which property would you use to prove that Al is taller than Carl?
Transitive property
Select the property of equality used to arrive at the conclusion.

If 5x = 20, then x = 4.

the division property of equality
Select the property of equality used to arrive at the conclusion.

If x = 4, then 5x = 20

the multiplication property of equality
Select the property of equality used to arrive at the conclusion.

If x + 8 = 10, then x = 2.

the subtraction property of equality
Select the property of equality used to arrive at the conclusion.

If x = 2, then x + 8 = 10

the addition property of equality
Select the property of equality used to arrive at the conclusion.

If x – 3 = 7, then x = 10

the addition property of equality
Select the property of equality used to arrive at the conclusion.

If x = 3, then x2 = 3x

the multiplication property of equality
Complete the conditional statement.
If a + 2 < b + 3, then _____.
a < b + 1
Complete the conditional statement.
If -2a > 6, then _____.
a < -3
Complete the conditional statement.
If 2 > -a, then _____.
a > -2
If m and n are real numbers such that 4m + n = 10, then which of the following expressions represents m?
10 minus n, divided by 4
Sarah solves the equation as shown.
2(x + 3) = 8
1. 2x + 6 = 8
2. 2x = 2
3. x = 1
In which step did Sarah use the distributive property?
1
(x+2)(x+6)=0

In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:

zero product property

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