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