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WorksheetsReview for Unit 4 Quiz (#2)
Total questions: 73
Worksheet time: 3hrs 55mins
Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?
∠1 and ∠3 are a linear pair
undefined andundefined are right angles.
∠2≅∠3
∠1≅∠3
Given: ∠1 and ∠2 are supplementary. What can you conclude?
m∠1+m∠2=180°
m∠1+m∠2=90°
m∠1=m∠2
Nothing
What does it mean to bisect a segment or an angle?
Split it into 3 equal parts.
Split it into 2 equal parts.
Split into 4 equal parts.
Double it.
If <1 is a right angle, than m<1 = 90o
Definition of right angle
Definition of supplementary angles
Definition of angle bisector
Definition of midpoint
If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50
Transitive property
Substitution
Definition of angle bisector
Subtraction POE
The symbol ≅ means..........
Congruent
transitive
equal sign
supplementary
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
Given: OR ⊥ QP. What should you conclude by definition of perpendicular?
<ORP is a right angle
QR + RP = QP
<ORQ and <ORP are complementary
<QRP = 180 °
Given: AB is the segment bisector of PQ. What conclusion can you draw?
PF = QF
F is the midpoint of PQ
m<PFA = m<QFA
<PFQ is a straight angle
If an angle is a straight angle, then its measure is 180°
Given: <ABC is a straight angle.
What conclusion can you draw?
<ABC is not an acute angle
<ABC is supplementary to another angle
m<ABC = 180°
<ABC is a straight angle
Which of the following conclusions CANNOT be drawn just by looking at the diagram?
GH and AB intersect at D
<GDA and <HDB are vertical angles
D is the midpoint of GH
G, D, and H are collinear
Given: PL is the angle bisector of <RPQ
What can you conclude by definition of angle bisector?
m<RPL = m<LPQ
<RPL + m<LPQ = m<RPQ
<RPQ is acute
m<RPQ = 90
Solve for x.
44o
-14o
-7o
63o
Solve for x
49
58
70
94
Solve for x
65
74
37
64
Solve for x
70
23
120
130
Solve for x
105
78
110
25
Solve for x
85
78
95
110
Solve for x
48
85
24
9
Solve for x
3
4
2
1
What is the value of x?
23
32
20
35
Which two angles are the remote interior angles to Angle W?
Angle X and Angle Y
Angle X and Angle Z
Angle Y and Angle Z
Angle Z and Angle W
Find the measure of angle 4
What property states that something is congruent to itself?
Symmetry Property
Congruence Property
Reflexive Property
then m∠1 + m∠2 = 180°.
then ∠BAT ≅ ∠MAN.
If ∠DOG = ∠CAT, then m∠DOG = m∠CAT.
Definition of Congruency
Substitution Property
State the proof reason, given: If AB=BC and BC=CD, then AB=CD
Segment Addition Postulate
Transitive Property
Reflexive Property
Subtraction Property of Equality
What reason supports the statement?
Vertical angles are congruent.
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Reflexive Property
What reasons supports the statement?
Symmetry Property
Reflexive Property
Transitive Property
SSS
What reason supports the statement?
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Vertical angles are congruent.
Reflexive Property
Based on the picture of the Triangle Sum Theorem Proof, what can be used as a Statement in your proof?
Choose ALL that apply.
m∠4≅m∠1
m∠5≅m∠3
m∠2≅m∠3
m∠4+m∠2+m∠5=180°
m∠1+m∠3=90°
Solve for x
3
4
2
1
Set up an equation to find x.
52 + 5x + 16 + 10x + 8 = 180
52 - 5x + 16
52 + 5x + 16 = 10x + 8
52 + 10x + 8 = 5x +16
