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Ch. 2:1-3 Review Questions + ANSWERS
Give a counterexample to:
If a number is divisible by 4, then it is divisible by 6
8 is divisible by 4, but 8 is not divisible by 6
True or False:
If M is a midpoint of , then AM=MB
TRUE! This is the definition of a midpoint…is the converse true?
AB
What is the hypothesis of:
Billy will have a lemonade stand if it is sunny outside ?
Name the property that justifies each of the following:
#1. 3(x-2)=0, then 3x-6=0 Distributive Property
#2. if x = y, then x + 5 = y + 5 Addition Property
#3. If and , then Transitive Property
#4. If RS=TW, then TW=RS Symmetric Property
#5. BT=BT Reflexive Property
21 32 31
Given the diagram, name the theorem, definition, or postulate that justifies the statement:
B
A
CD
1 2
3 4
#1. If D is the midpoint of , then Definition of Midpoint
#2. If ray AD bisects , then Definition of Angle Bisector
#3. BD + DC = BC Segment Addition Postulate
#4. If D is the midpoint of , then BD = ½ BC Midpoint Theorem
21 BAC
DCBD BC
BC
True or False:
If three points are non-collinear, then they can still be coplanar
True!
True or False:
If two angles are right angles, they are always congruent
True! Right angles are always 90°
True or False:
If a line is in a vertical plane, then the line is vertical.
False. It CAN be vertical but it is not always vertical:
True or False:
If AM=BM, then M is a midpoint of
FALSE! Remember from Monday the counterexample?
AB