GM-U1.7 Lesson: Writing Proofs

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.

Unit 1 L7
Writing Proofs

If A = B
And B = C
A = C

Transitive Property

Equal to, same size and shape.

Congruent

Concepts:

Concept:

​Right Angle

A 90 degree angle.

Concept:

Supplementary Angles

The sum of the angles adds up to 180 degrees.

The sum of the angles adds up to 90 degrees.

​Complementary Angle/s

Replacement of one equivalent term or expression for another.

​Substitution

ConceptS:

A 180 degree angle.

​Straight Angle

Adjacent supplementary angles.

​Linear Pair

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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

Multiple Choice

Select the option that best matches the definition:

"Adjacent supplementary angles."

• Substitution

• Congruent

• Linear Pair

• Right Angle

Multiple Choice

Select the option that best matches the definition:

"Equal to, same size and shape."

• Substitution

• Congruent

• Linear Pair

• Right Angle

​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.