R2 | Proofs & Logic

When taking the converse we ___________ the hypothesis and conclusion.

• negate
• switch
• leave the same
• switch and negate

Tags

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.7.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

When taking the inverse we _____________ the hypothesis and conclusion.

• negate
• switch
• switch and negate
• leave the same

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

Tags

CCSS.HSG.CO.C.11

In the given proof, what are the reasons for step 1 and 2?

• Angles that form a linear pair are supplementary.

• Substitution

• Reflexive Property of Congruence

• Angles of equal measure are congruent.

Tags

CCSS.7.G.B.5

In the given proof, what is the statement for step 2?

Tags

CCSS.HSG.CO.C.9

In the given proof, what are the reasons for steps 1 and 3?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

Tags

CCSS.HSG.SRT.B.5

In the given proof, what is the reason for step 2?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

Tags

CCSS.HSG.SRT.B.5

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.

Tags

CCSS.7.G.B.5