Geometry Common Core

∠2 & ∠6 are...

• Supplementary angles

• Vertical angles

• Corresponding angles

• Alternate interior angles

Rewrite the following statement as a biconditional:

"Supplementary angles add up to 180"

• If two angles add up to 180^o then they are supplementary.

• Angles are supplementary if they add to 180^o.

• Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

• If two angles sum does not equal 180^o then they are not supplementary.

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.

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

What is the definition of parallel lines?

• Lines that never intersect

• Lines that are perpendicular to each other.

• Lines that intersect at multiple points.

• Lines that intersect at one point.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

• Nothing

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.