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6.5
What Is It Called?
Pg. 18Identifying the Quadrilateral
6.5 – What Is It Called? _Identifying the Quadrilateral
In this chapter you have studied many different types of quadrilaterals. Use the properties you have learned to answer the questions in this section. Be careful to not ASSuME anything!
6.24 – NAME THE SHAPEGive the most exact name for the shape.
square kite rhombus
trapezoid
parallelogram
parallelogram
rectangle rhombus square
6.25 – TRUE OR FALSE?Determine if the following statements are true or false. If false, provide a counterexample.
a. If a quadrilateral is equilateral, then it is equiangular.
false
rhombus
b. If a quadrilateral is equiangular, then it is equilateral.
false
rectangle
c. If a quadrilateral is a square, then it is a rectangle.
true
d. If a quadrilateral is a rectangle, then it is a square
false
Not all sides equal
e. If the diagonals of a quadrilateral are perpendicular, then it is a rhombus.
false
f. If the quadrilateral is a rhombus, then its diagonals are perpendicular.
kite
true
g. If a quadrilateral has one pair of opposite sides parallel, then it is a parallelogram. false
h. If a quadrilateral has consecutive sides congruent, then it is a rhombus.
trapezoid
falsekite
Both opposite sides are parallel
Both opposite sides are equal
Both opposite angles are equal
All same-side interior angles are supplementary
xxy
y
Diagonals bisect each other
x y 180
4 equal sides
Diagonals are perpendicular
Diagonals bisect angles
Rhombus:
4 right angles
Diagonals are equal
4 right angles and 4 = sides
Consecutive sides are =
Diagonals are perpendicular
One pair of opposite angles are equal
One pair of opposite sides parallel
Two consecutive interior angles are supplementary
x
ay
b
x y 180a b 180
One opposite side is equal
Both base angles are equal
Diagonals are equal
A B
D C
AC BD
6.26 – VENN DIAGRAMSUse your knowledge of shapes to complete the following Venn Diagrams. Use each shape only once.
Mark which shapes have the following properties.
1. Both pairs of opposite sides are parallel.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
2. Both pairs of opposite sides are congruent
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
3. Both pairs of opposite angles are congruent
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
4. Exactly one pair of opposite sides are parallel
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
5. Exactly one pair of opposite sides are congruent
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
6. Exactly one pair of opposite angles are congruent
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
7. Diagonals are congruent
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
8. Diagonals are perpendicular
Mark which shapes have the following properties.
Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid
Kite
Class Activity• Make a square
• Make a rhombus w/ no right angles
• Make a rectangle
• Make a parallelogram w/ no right angles
• Make a kite
• Make a trapezoid
• Make an isosceles trapezoid
• Make an isosceles triangle• Make a equilateral triangle
