Exploring Proofs and Deductive Reasoning

What should you have completed before starting the video?

• Trigonometry Basics

• Introduction to Proofs Matching Exercises Part One and Part Two

• Introduction to Geometry

• Basic Algebra Exercises

What is the first step in any proof?

• Distribute

• Combine like terms

• Subtract from both sides

• State what is given

What property is used when you subtract the same value from both sides of an equation?

• Division Property of Equality

• Subtraction Property of Equality

• Distributive Property

• Addition Property of Equality

Tags

CCSS.HSA.REI.A.1

What is a conditional statement?

• A statement that involves a hypothesis and a conclusion

• A statement that is always true

• A statement that is always false

• A statement that cannot be proven

In the statement 'If today is Wednesday, then tomorrow is Thursday,' what is the hypothesis?

• Tomorrow is Thursday

• Today is Wednesday

• If

• Then

What is the converse of the statement 'If today is Wednesday, then tomorrow is Thursday'?

• If today is Wednesday, then tomorrow is Friday

• If tomorrow is Thursday, then today is Wednesday

• If today is Thursday, then tomorrow is Wednesday

• If tomorrow is Wednesday, then today is Thursday

Tags

CCSS.RL.6.3

CCSS.RL.9-10.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.11-12.9

Why is the converse 'If I am a teenager, then I am 13' false?

• Because a teenager can be any age between 13 and 19

• Because 13 is not a teenage year

• Because teenagers are only 14 or 15

• Because 13 is an adult age

What can you deduce if L is the midpoint of segment AM?

• L is not on segment AM

• Segment AL is congruent to segment LM

• Segment AL is longer than segment LM

• Segment AL is shorter than segment LM

Tags

CCSS.HSG.SRT.B.4

What is the definition of a midpoint?

• A point that divides a segment into two unequal parts

• A point that divides a segment into two equal parts

• A point that is outside the segment

• A point that is at the end of a segment

Tags

CCSS.HSG.CO.A.1

What does the definition of an angle bisector state?

• It is a line that is perpendicular to the angle

• It is a line that intersects the angle at its vertex

• It divides an angle into two equal parts

• It divides an angle into two unequal parts

Tags

CCSS.HSG.CO.C.9