Statements & Logic

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

• If angles are congruent.
• Angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.HSG.SRT.B.5

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

• if they add up to 180 degrees
• the angles are supplementary
• they add up to 180 degrees
• there is no conclusion

Tags

CCSS.7.G.B.5

If something is an angle, then it is acute. What is an appropriate counter-example?

• 70⁰

• 45⁰

• 120⁰

• True. There is no counterexample.

Tags

CCSS.4.G.A.1

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

What is the converse of this statement?

• 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.

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

• A rectangle is also a quadrilateral.

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

What is the inverse of this statement?

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

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

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

• A rectangle is also a quadrilateral.

Tags

CCSS.HSG.CO.A.1

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.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Tags

CCSS.HSG.CO.A.1

Write the following statement in if-then form.
All vertical angles are congruent.

• If two angles are vertical, then they are congruent.
• If two angles are congruent, then they are vertical.

Tags

CCSS.7.G.B.5