TEKS.MATH.9-12.III.D

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B
• ∠A is acute.
• ∠A is obtuse.
• ∠A is 40⁰

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TEKS.MATH.9-12.III.D

Find the value of x

• 87°
• 54°
• 101°
• 92°

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TEKS.MATH.9-12.III.D

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

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TEKS.MATH.9-12.III.D

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

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TEKS.MATH.9-12.III.D

AB = AB

• Reflexive POE
• Transitive POE
• Symmetric POE
• Distributive POE

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TEKS.MATH.9-12.III.D

Based on the construction, which statement must be true?

• A
• B
• C
• D

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TEKS.MATH.9-12.III.D

Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².

• If the side of a square is 5 ft, then the perimeter is 20 ft.
• If the perimeter of a square is 20 ft, then the area is 25 ft²
• If the area of a square is 25 ft², then the side length is 5 ft. 
• If the are of a square is 25 ft², then the perimeter is 20 ft.

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TEKS.MATH.9-12.III.D

What does this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

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TEKS.MATH.9-12.III.D

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC
• BC=DC
• ∡B≅∡D
• ∡BAC≅∡DAC

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TEKS.MATH.9-12.III.D

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.

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TEKS.MATH.9-12.III.D