91Ó°ÊÓ

a. Draw an equilateral quadrilateral that is not equiangular. b. Draw an equiangular quadrilateral that is not equilateral.

Give the most descriptive name for a. A quadrilateral with diagonals that are perpendicular bisectors of each other b. A rectangle that is also a kite c. A quadrilateral with opposite angles supplementary and consecutive angles supplementary d. A quadrilateral with one pair of opposite sides congruent and the other pair of opposite sides parallel

Examine each statement below. If the statement is always true, write \(\mathrm{A} ;\) if sometimes true, write \(\mathrm{S}\); if never true, write \(\mathrm{N}\). a A square is a rhombus. b A rhombus is a square. c A kite is a parallelogram. d A rectangle is a polygon. e A polygon has the same number of vertices as sides. f A parallelogram has three diagonals. g A trapezoid has three bases.

Why is a circle not a polygon?

The measure of one angle of a parallelogram is 40 more than 3 times another. Find the measure of each angle.

Prove property 5 of isosceles trapezoids.

Answer Always, Sometimes, or Never: A quadrilateral is a parallelogram if a Diagonals are congruent b One pair of opposite sides are congruent and one pair of opposite sides are parallel c Each pair of consecutive angles are supplementary d All angles are right angles

Find the area of a square whose perimeter is 65 feet.

Prove that in a parallelogram each pair of consecutive angles are supplementary.

Prove that if no two medians of a triangle are congruent, then the triangle is scalene.