LESSON
OBJECTIVES
TRAPEZOID
Is a quadrilateral with exactly one pair of parallel sides.
ISOSCELES TRAPEZOID
Is a trapezoid with congruent LEGS.
CHARACTERISTICS OF ISOSCELES TRAPEZOID
*Both pairs of base angles are ≅.
( )
*The diagonals are ≅.
( )
1)
*JKLM is a trapezoid because there is exactly one pair of parallel sides.
2)
Compare the length of the legs.
*JKLM is an isosceles trapezoid because the legs are congruent.
QRST is a quadrilateral with vertices Q(­3, 2), R(­1, 6),
S(4, 6), T(6, 2).
3) Verify that QRST is a trapezoid.
R
Q
S
T
*QRST is a trapezoid because there is exactly one pair of parallel sides.
4) Determine whether QRST is an isosceles trapezoid.
Compare the length of the legs.
*QRST is an isosceles trapezoid because the legs are congruent.
Is parallel to the bases and the measure is one­half of the sum of the bases.
5) Find EF
6) Find EH
7) Find t, XY and QP
P
8) RSTV is a trapezoid with bases RV and ST and median MN. Find x if MN = 60,ST = 4x ­ 1, and RV = 6x + 11.
9) Find TS if QR = 22 and XY = 15
10)
m 1 =
m 2 =
m 3 =
m 4 =
11) Find m F
12) Find m E
13) Find m G
14) Find x and the m C.
15) Use the information in the trapezoid below to find the
value of x, y, m T, m R, and m P.
16) JN = 10.6, and NL = 14.8. Find KM.
17) Find the value of a so that PQRS is isosceles.
NOTES on LESSON 8­6
TRAPEZOIDS
EXAMPLES
Find the length of the median of each trapezoid.
1)
2)
Solve for x. Each figure is a trapezoid.
3)
4)
Find the length of the median of each trapezoid.
5)
6)
Find the length of the base indicated for each trapezoid.
8)
7)
Solve for x. Each figure is a trapezoid.
9)
10)
Find the length of the base indicated for each trapezoid.
11) Find FG
12) Find WV
Find the measurement of the angle indicated for each trapezoid.
13)
14)
Solve for x. Each figure is a trapezoid.
15)
16)
Find the measurement of the angle indicated for each trapezoid.
17) Find m C
HW on LESSON 8­6
18) Find m T
p442­p443 10, 12, 13­19 all