Four-Sided Polygons
Acc Math I
1) The figure below is an isosceles trapezoid. Determine whether the following statements are true or false.
a) The opposite sides are congruent.
b) Opposite sides are parallel.
c) The diagonals bisect each other.
d) The diagonals bisect the angles.
e) The diagonals are congruent.
2) Draw an equilateral quadrilateral that is
not equiangular.
3) Draw an equiangular quadrilateral that is not
equilateral.
4) Determine if the following statements are always true, sometimes true, or never true.
a) A rhombus is a square.
b) A kite is a parallelogram.
c) A trapezoid has three bases.
d) A square is a rhombus.
e) A polygon has the same number of vertices as sides.
5) Explain why a circle is not classified as a polygon.
6) Draw a picture to illustrate why the area formula for a parallelogram can be the same as the area formula for a
rectangle.
7) What is the area of a square whose perimeter is 45 inches.
8) Determine the sum of the angle measures for each polygon.
a) triangle
b) rectangle
c) quadrilateral
d) pentagon
9) DEFG is a kite. DE = x + 3, EF = x + 4, FG = 2x – 1, & DG = 3x – y
a) What is x?
b) What is y?
c) What is the perimeter?
d) Is it possible for DF to be 19 units long? Justify your answer.
10) If ABCD is a kite and a rectangle, what else could we conclude about ABCD?
11) Find the perimeter and area of the triangle with vertices (–4, –2), (9, 6), & (9, –2).
12) What is the perimeter and area of the trapezoid?
Directions: Determine the number of diagonals each figure below has.
13) Triangle
14) Quadrilateral
15) Pentagon