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Honors Geometry: Tuesday, 3-7
A trapezoid has exactly one pair of parallel sides (bases).
8.5 Properties of Trapezoids AND Kites
four sides
two pairs of ≅ sides
diagonals are
one pair of opposite angles ≅
exactly one pair of
parallel sides
base angles are ≅
diagonals are ≅
legs are ≅
opposite sides are ≅
and parallel
opposite angles are ≅
45o diagonals bisect each other
Q
diagonal bisects a pair
of opposite s
R
diagonals are ≅
4 right
P
S
s
4 ≅ sides
45o diagonals are
Identify the missing angle measurements. Write and solve
an equation for x.
o
52
Given points A, B, C and D determine if ABCD is a trapezoid.
A(1,2) B(4,5) C(7,3) D(7,-2)
Ex 1) Solve for x.
x
Ex 2) Solve for x.
Find the measures of WX, WZ, XY and ZY in the kite shown.
8.5 day 1 Trapezoids
4.
5.
6.
m∠ B = _____________ m∠ C = _____________ m∠ B = _____________ m∠ C = _____________ m∠ B = _____________ m∠ C = _____________ m∠ D = _____________
m∠ D = _____________
m∠ D = _____________
7.
8.
9.
10.
11.
In an isosceles trapezoid, if one pair of base angles is twice the measure of
the second pair of base angles, what are the measures of the angles? Draw
a picture and show your work here:
Identify the value for x in the diagrams below.
12. x = ________
15. x = ________
18.
19.
20.
21.
22.
23.
13. x = ________
16. x = ________
14. x = ________
17. x = ________
8.5 day 2 Kites
JKLM is a kite. Find the missing angle measurements.
L
3.
2.
1.
K
M
m∠ J = _____________
m∠ K = _____________
m∠ K = _____________
m∠ M = _____________
J
x = __________
m∠ J = ____________
WEST is a kite. Find the missing angle measurements.
4.
m∠ E = _____________
m∠ T = _____________
5.
6.
m∠ E = _____________
m∠ W = _____________
m∠ S = _____________
m∠ T = _____________
Identify the side lengths of each of the kites below.
7.
8.
9.
10.
11.
You cut out a piece of fabric in the shape of a kite so that the congruent
angles of the kite are 100 o. Of the remaining two angles, one is 4 times
larger than the other. What are the measures of the other angles in the kite?
Draw a picture and show your work here:
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