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28 questions
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: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?
<1 and <2 are a linear pair
<1 and <3 are right angles
<2 and <4 are vertical angles
<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
Given: <1 and <2 are a linear pair. Conclusion: m<1 + m<2 = 180. What is the reason that allows you to draw that conclusion?
Angle addition postulate
Definition of straight angle
Linear Pair Postulate
Definition of supplementary
Which of the following is an example of the transitive property?
If x = 5 and and x = y, then y = 5.
If x = y then y = x
x = x
If 2x + 4 = 2, then x = -1
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
An animal has spots if and only if it's a cheetah. True or false?
True because cheetahs have spots
False because cheetahs don't have spots
False because cheetahs are not the only animals that have spots
True because cheetahs are fast
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
Which of the following CAN you conclude from the diagram?
lines l and m are perpendicular
<a and <b are adjacent
<a and <b are complementary
m<a = m<b
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
What is the missing statement in the proof?
Addition property
Segment Addition Postulate
Substitution property
Transitive property
When trying to prove two angles are supplementary, what must you show in your proof?
that the angles are equal
that the angles add up to 180 degrees
that the angles are a linear pair
that the angles are right angles
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