Classifying Quadrilaterals (Instruction)

Complete the statements. 1.) A square is _________________________ a parallelogram. 2.) A rectangle is ______________________ a trapezoid. 3.) A rhombus is _______________________ a square. 4.) A quadrilateral is ____________________ a kite.

1.) Always 2.) Never 3.) Sometimes 4.) Sometimes

Given: ABCD is a parallelogram. Prove: m∠A + m∠B + m∠C + m∠D = 360˚ By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and *1.)*∠? are same-side interior angles, so they are *2.)* _________________. By the definition of supplementary, m∠A + m∠D = 180. Using side *3.)*? as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the *4.)* ________________________ property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.

1.) D 2.) Supplementary 3.) BC 4.) Addition

The front view of a recycle bin is shaped like a trapezoid. What is the measure of the remaining angle? A.) 72° B.) 144° C.) 198° D.) 252°

A.) 72°

Which describes the pedestrian crossing sign shown? A.) The sign is a trapezoid because exactly one pair of opposite sides is parallel. B.) The sign is a parallelogram because both pairs of opposite sides are parallel. C.) The sign is a kite because both pairs of opposite sides are congruent. D.) The sign is a parallelogram because at least one pair of opposite sides is parallel.

B.) The sign is a parallelogram because both pairs of opposite sides are parallel.