Conjecture About 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.

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.

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.

What is the possible conclusion base on the given information?

• The sum of the exterior angles of a quadrilateral is 360.

• The sum of the interior angles is 360.

• The sum of the interior angles of a quadrilateral is 360.

• The interior angle of a quadrilateral is 360.

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CCSS.HSG.CO.C.11

Which of the following quadrilaterals have at least one pair of opposite angles that are congruent

• kite

• trapezoid

• rhombus

• square

• rectangle

The opposite angles of a cyclic quadrilateral are _______.

Which of the following quadrilaterals have opposite sides that are parallel

• kite

• trapezoid

• rhombus

• square

• rectangle

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CCSS.4.G.A.2