Download Unit 4 - More Practice

Geo. Unit 4 More Practice
Name:__________________________________
1) In this addition problem, each letter represents a single digit.
1 7 2
2 9 4
+ 7 V 6
P 2 P 2
P=?
1
2
3
4
none of the above
2) V = ?
1
2
3
4
none of the above
3) Edith, Ernie, and Eva are an economist, an electrician, and an engineer, but not necessarily in
that order. The economist does consulting work for Eva's business. Ernie hired the electrician to
rewire his new kitchen. Edith earns less than the engineer but more than Ernie. Match the
names with the occupations.
4)
What is the correct algebraic expression represented by the diagram?
A: (3𝑥)(2𝑥) = 6𝑥 2
B: h3𝑥 2 + 2𝑥 2 = 5𝑥 2
C: (𝑥 + 3)(𝑥 + 2) = 𝑥 2 + 5𝑥 + 6
D: none of the above
5) Deductive reasoning is the type of reasoning used when people make conjectures.
True
False
6) Match the correct reasons to the statements of this algebraic proof.
Statements
1. 4x
− 7 = 2x
2. 2x –
3. 2x
4. x
7=3
= 10
=5
Reasons
+ 3 1. Given equation
2.
3.
4.
STATEMENT BOX
Subtraction Property
Addition Property
Reflexive Property
Division Property
Substitution
Multiplication Property
7) Arrange the statements and reasons in this geometric proof.
STATEMENT BOX
KP + PR = ST + TV
ST + TV = SV
Given
Segment Addition
KR = SV
KP = ST
8) If two angles form a linear pair, what can you conclude about the angles?
The two angles are congruent.
The two angles are supplementary.
The two angles are vertical angles.
The two angles are right angles.
9) Choose the correct word to fill in the blanks appropriately.
A ______________________ is a statement that is accepted as true without proof.
A ______________________ is a statement that is proven to be true for all cases.
STATEMENT BOX
theorem
argument
proof
postulate
10) Which of the following can be used as reasons in a proof? Select all that apply.
definitions
theorems
algebraic properties
conjectures
postulates
11) Earlier in this topic, you proved the Common Segment Theorem. Do you think you could prove a
Common Angle Theorem? Using the diagram, what do you think that theorem would state?
Select all that apply.
If K and M are in the interior of ∠HIJ, then m∠HIK+m∠KIM+m∠JIM=m∠HIJ.
If ∠HIK≅∠JIM, then ∠HIM≅∠JIK.
If ∠HIM≅∠JIK, then ∠HIK≅∠JIM.
If ∠HIK≅∠JIM, then ∠KIM≅∠MIK.
12) Two intersecting lines are shown in the
diagram. Solve for x.
x = 10
x ≈ 7.89
x = −10
x ≈ 1.83