quadrilaterals: trapezoids and kites8.3.pdf · draw a kite and the diagonals of the kite. 3.) what...
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Kites
2.) Draw a kite and the diagonals of the kite.
3.) What additional properties do kites have?
1.) Definition of a kite:
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Properties of Kites1.) Has two sets of ______________ ___________ sides.
2.) _______________ angles are ____________.
3.) ____________ angles are ________________.
4.) Diagonals are ________________.
5.) The diagonal from the vertex angles ___________ the other diagonal.
6.) Diagonals from the __________ angles __________ the ___________ angles.
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Trapezoid
2.) Draw an isosceles trapezoid and the diagonals.
3.) What additional properties do isosceles trapezoids have?
1.) Definition of a trapezoid:
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Properties of Isosceles Trapezoids1.) Legs are _____________.
2.) Bases are ______________.
3.) ____________ angles are ________________.
4.) Diagonals are ________________.
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Home Work
Chapter 8 ! Skills Practice 623
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Skills Practice Skills Practice for Lesson 8.3
Name _____________________________________________ Date ____________________
Kites and Trapezoids Properties of Kites and Trapezoids
VocabularyWrite the term from the box that best completes each statement.
base angles of a trapezoid biconditional statement isosceles trapezoid
1. The are either pair of angles of a trapezoid that share a base as a common side.
2. A(n) is a trapezoid with congruent non-parallel sides.
3. A(n) is a statement that contains if and only if.
Problem SetComplete each statement for kite PRSQ.
1. ___
PQ ! ___
QS and ___
PR ! ___
SR
QR
S
T
P
2. !QPR ! !
3. ___
PT !
4. !PQT ! ! and !PRT ! !
624 Chapter 8 ! Skills Practice
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8Complete each statement for trapezoid UVWX.
5. The bases are ___
UV and ____
WX .
X
U V
W
6. The pairs of base angles are ! and ! , and ! and ! .
7. The legs are and .
8. The vertices are , , , and .
Construct each quadrilateral using the given information.
9. Construct kite QRST with diagonals ___
QS and ___
RT intersecting at point M.
Q S
R T
Q
T M
S
R
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Name _____________________________________________ Date ____________________
Use the given figure to answer each question.
15. The figure shown is a kite with !DAB ! !DCB. Which sides of the kite are congruent?
A
B
D C
___
AB and ___
CB are congruent.
___
AD and ___
CD are congruent.
16. The figure shown is a kite with ___
FG ! ___
FE . Which of the kite’s angles are congruent?
E
F
G H
17. Given that IJLK is a kite, what kind of triangles are formed by diagonal __
IL ?
I J
K
L
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Name _____________________________________________ Date ____________________
Use the given figure to answer each question.
21. The figure shown is an isosceles trapezoid with ___
AB || ___
CD . Which sides are congruent?
A B
C D
___
AC and ___
BD are congruent.
22. The figure shown is an isosceles trapezoid with ___
EH ! ___
FG . Which sides are parallel?
E F
H G
23. The figure shown is an isosceles trapezoid with __
IJ ! ___
KL . What are the bases?
I
J
K
L
24. The figure shown is an isosceles trapezoid with ____
MP ! ___
NO . What are the pairs of base angles?
PM
NO
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142 Chapter 8 ! Assignments
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8Quadrilateral WXYZ is an isosceles trapezoid.
YX
ZW
V
5. If m!XWZ ! 66°, what is m!YZW? Explain.
6. If the length of ____
WY is 10 inches, what is ZX? Explain.
7. If the length of ____
WX is 7 inches, what is ZY? Explain.
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Assignment Assignment for Lesson 8.3
Name _____________________________________________ Date ____________________ Kites and Trapezoids Properties of Kites and Trapezoids
Quadrilateral ABCD is a kite.
A
B
C
D
E
1. If m!ABC ! 95°, what is m!ADC? Explain.
2. If m!BCE ! 34°, what is m!EBC? Explain.
3. If the length of ___
AB is 16 feet, what is AD? Explain.
4. If the length of ___
BD is 25 feet, what is ED? Explain.
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