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Lesson 7-5: Quadrilaterals
p. 272 – 279
1. A _______________ is a polygon that has four sides
2. In a quadrilateral, two angles whose vertices are the endpoints of a
side are called_______________ angles.
3. Two angles that are not consecutive angles are called _____________
angles.
4. A _______________ is a quadrilateral in which two and only two
opposite sides are parallel. The parallel sides are called bases.
5. A ________________ is a quadrilateral in which both pairs of
opposite sides are parallel.
6. A _____________ is a parallelogram in which all four angles are right
angles.
7. A ______________ is a parallelogram in which all sides are of equal
length.
8. A ______________ is a rectangle in which all sides and all angles are
equal.
9. The sum of the measures of the angles of a quadrilateral is ________.
10. Opposite sides and opposite angles of a parallelogram are
______________.
11. Consecutive angles of a parallelogram are __________________.
12. The sum of the measures of the interior angles of an n-sided polygon is
180(n – 2).
13. A trapezoid in which the nonparallel sides are congruent is called an
_____________ trapezoid. In an ______________ trapezoid, the
base angles, and the two angles whose vertices are the endpoints of
the same base, are congruent.
TERM
Square
EXAMPLE
Rhombus
Rectangle
Parallelogram
Trapezoid
Quadrilateral
Isosceles Trapezoid
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Ex1| Classify the following quadrilaterals.
a)
b)
c)
d)
e)
f)
Ex2| ABCD is a parallelogram where mA  2x  50 and mC  3x  40 .
a) Find the value of x.
b) Find the measure of each angle.
A =
B =
C =
D =
Ex3| Find the total number of degrees in pentagon ABCDE .
Ex4| Find the total number of degrees in heptagon ABCDEFG .
HW: p.262/11-23 odds