TEKS.MATH.9-12.III.D

Which statement is true about trapezoids?

• All trapezoids are quadrilaterals.
• All quadrilaterals are trapezoids.
• All trapezoids are rectangles.
• All trapezoids are squares.

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TEKS.MATH.9-12.III.D

Find the value of x.

• 15
• 13
• 3
• 6

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TEKS.MATH.9-12.III.D

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

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TEKS.MATH.9-12.III.D

What is the "reason" for step 5 of the proof?

• Vertical Angle Theorem
• proof
• def. of angle bisector
• CPCTC 

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TEKS.MATH.9-12.III.D

Solve for x.

• 16
• 11
• 50
• 6

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TEKS.MATH.9-12.III.D

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

• If a figure is not a triangle, then the angles do not add to 180.

• If the angles of a figure do not add to 180, then it is not a triangle.

• If a figure has angles that add to 180, then it is a triangle.

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TEKS.MATH.9-12.III.D

________, also known as logical reasoning, is the process of reasoning logically from given statements or facts to a conclusion.

• Inductive Reasoning

• Deductive Reasoning

• Biconditional Statements

• Contrapositive statements

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TEKS.MATH.9-12.III.D

If an angle measures 40⁰, then the angle is acute.
 $m\angle A=40$  
What is the logical conclusion?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

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TEKS.MATH.9-12.III.D

Determine if the conjecture is valid.

Given: If you are in California, then you are in the west coast. If you are Los Angeles, then you are in California.

Conjecture: If you are in Los Angeles, then you are in the west coast.

• No, the conjecture is not valid.

• Yes, the conjecture is valid.

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TEKS.MATH.9-12.III.D

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.

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TEKS.MATH.9-12.III.D