Writing Proofs
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 4 Questions
1
Multiple Choice
ACT Prep Warm-Up:
Error Analysis: If I'm relaxed, my blood pressure is relatively low. If I'm reading, I'm relaxed. I'm reading, therefore you are relaxed.
What needs to be changed for the conditional statement to be valid?
The subject in the conclusion.
The action of reading needs changed in the conclusion.
The subject in the first conditional statement.
No errors, the statement is valid.
2
Writing Proofs
3
If A = B
And B = C
A = C
Transitive Property
Equal to, same size and shape.
Congruent
Concepts:
4
Right Angle
A 90 degree angle.
5
Concept:
Supplementary Angles
The sum of the angles adds up to 180 degrees.
6
The sum of the angles adds up to 90 degrees.
Complementary Angle/s
Replacement of one equivalent term or expression for another.
Substitution
7
A 180 degree angle.
Straight Angle
Adjacent supplementary angles.
Linear Pair
8
Multiple Choice
Select the option that best matches the definition:
"The replacement of one equivalent term or expression with another."
Substitution
Congruent
Linear Pair
Right Angle
9
Multiple Choice
Select the option that best matches the definition:
"Adjacent supplementary angles."
Substitution
Congruent
Linear Pair
Right Angle
10
Multiple Choice
Select the option that best matches the definition:
"Equal to, same size and shape."
Substitution
Congruent
Linear Pair
Right Angle
11
Procedure:
1) Identify what is given in the proof.
2) Complete the necessary steps to reach the proof.
3) Supply a reason for each step using the appropriate property.
12
ACT Prep Warm-Up:
Error Analysis: If I'm relaxed, my blood pressure is relatively low. If I'm reading, I'm relaxed. I'm reading, therefore you are relaxed.
What needs to be changed for the conditional statement to be valid?
The subject in the conclusion.
The action of reading needs changed in the conclusion.
The subject in the first conditional statement.
No errors, the statement is valid.
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MULTIPLE CHOICE
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