UNIT 2: Reasoning and Proofs

Rewrite the statement as a conditional statement in if-then form.

STATEMENT: Fish have gills.

• If it has gills, then it is a fish.

• If it is a fish, then it has gills.

• If it is a fish, then it lives in the water.

• If an animal has gills, then it breathes underwater.

Write the converse of the statement below.

STATEMENT: If the coin is a dime, then it is worth ten cents.

• If the coin is NOT a dime, then it is NOT worth ten cents.

• If the coin is NOT worth ten cents, then it is NOT a dime.

• If a coin is worth ten cents, then it is a dime.

True or False. Point R is the midpoint of segment JK

• TRUE

• FALSE

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.6

Test the statement. Make a conjecture.

• The sum will always be a negative number

• The sum will always be a positive number

• The sum will always be an even number

• The sum will always be an odd number

Is line AC perpendicular to line BD?

• YES

• NO

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Name the intersection of Plane A and Plane B

• line GD

• line EF

• Point D

• line HI

Tags

CCSS.HSG.CO.A.1

What is the first step to solving the equation above?

• Use Substitution Property

• Use Addition Property

• Use Division Property

• Use Distribution Property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What does the Linear Pair Postulate say?

• Angle 1 and Angle 2 are a linear pair

• Angle 1 + Angle 2 = 90

• Angle 1 + Angle 2 = 180

• Angle 1 = Angle 2

Tags

CCSS.HSG.CO.C.9

What does the Vertical Angle Postulate say?

• Angle 1 + Angle 3 = 180

• Angle 1 + Angle 2 = 180

• Angle 1 = Angle 4

• Angle 2 = Angle 4

Tags

CCSS.HSG.CO.C.9

Determine the next 2 numbers in the pattern above.

• 5, 0

• 5, -1

• 6, 1

• 9, 8

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2