Proofs and Reasoning

A conditional statement is a statement that can be written in "If-then" form.

• True

• False

Pick the Converse of the conditional statement: If an angle is 90 degrees, then it is a right angle.

• If an angle is not 90 degrees, then it is not a right angle.

• An angle is a right angle if and only if it is 90 degrees.

• If an angle is not a right angle, then it is not 90 degrees.

• If an angle is a right angle, then it is 90 degrees.

Pick the Inverse of the conditional statement: If an angle is 30 degrees, then the angle is acute.

• If an angle is not acute, then the angle is not 30 degrees.

• If an angle is not 30 degrees, then the angle is not acute.

• If an angle is acute, then the angle is 30 degrees.

• An angle is acute if and only if it is 30 degrees.

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.

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

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Given: <1 and <2 are supplementary. What can you conclude?

• m<1 + m<2 = 180 ; Definition of supplementary angles

• m<1 + m<2 = 90 ; Definition of complementary angles

• m<1 = m<2 ; Definition of congruence

• nothing

Tags

CCSS.7.G.B.5

What is the reasoning?

• Symmetric Property

• Angle addition postulate

• Reflexive Property

• Transitive Property

Tags

CCSS.HSG.CO.B.7

What is the missing statement in the proof?

• Addition Property

• Segment Addition Postulate

• Substitution Property

• Transitive Property

Find what the value of x.

• 56
• 66
• 156
• 166

Tags

CCSS.7.G.B.5