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Name ________________________________________ <strong>Trapezoid</strong> <strong>and</strong> <strong>Kite</strong> Homework<br />
Period ________________ Date ____________<br />
1. Name the figure <strong>and</strong> find the measure of angles.<br />
name _________________________<br />
m∠ F = _______ m∠ G = ______ m∠ H = ________<br />
2. Name the figure <strong>and</strong> find the measure of angles.<br />
name _________________________<br />
m∠ K = _______ m∠ J = ________<br />
3. Given rectangle PQRS, find the measure of the angles.<br />
m∠ PST = _______ m∠ PTS = _______ m∠ QPR = _______<br />
m∠ PTQ = _______ m∠ SRT = _______ m∠ PQR = _______<br />
What type of triangle is ∆ PST ? ____________ ∆ PSR ? ____________<br />
4. Given square EFGH, find the measure of the angles.<br />
m∠ EJF = _______ m∠ HEG = _______ m∠ EHG = _______<br />
m∠ FEG = _______ m∠ FJG = _______ m∠ FGE = _______<br />
What type of triangle is ∆ EHG ? ____________ ∆ EJH ? ____________<br />
5. Given rhombus PQRS, find the measure of the angles.<br />
m∠ PTS = _______ m∠ PST = _______ m∠ RST = _______<br />
m∠ QRS = _______ m∠ QRP = _______ m∠ RTS = _______<br />
What type of triangle is ∆ PTS ? ____________ ∆ PQS ? ____________
Hint: use<br />
inverse trig<br />
function<br />
Name ________________________________________ <strong>Trapezoid</strong> <strong>and</strong> <strong>Kite</strong> Homework<br />
Period ________________ Date ____________<br />
6. For exercises 1-4 use isosceles trapezoid HJKL with bases HJ <strong>and</strong> LK<br />
R is the midpoint of HL <strong>and</strong> S is the midpoint of JK<br />
a. If LK = 42 <strong>and</strong> HJ = 30, find RS.<br />
RS = ______<br />
b. If RS = 17 <strong>and</strong> HJ = 14, find LK.<br />
LK = _____<br />
c. If LK = 3x + 2, HJ = x + 4, <strong>and</strong> RS = x + 5, find x <strong>and</strong> RS.<br />
Equation: ___________________<br />
X = _____ RS = _______<br />
d. If m∠SRH = 66°, find the measure of the angles.<br />
m∠ KSR = _______ m∠ LRS = _______ m∠ KJH = _______<br />
m∠ JSR = _______ m∠ RLK = _______ m∠ LKJ = _______<br />
7. In kite ABCD, AE = 6, ED = 8, EC = 15, <strong>and</strong> m<br />
Find the following.<br />
ABD 37<br />
AB = ______ BE = ______ BC = ______<br />
CD = ______ BD = ______ AD = ______<br />
AC = ______ perimeter of kite ABCD = ______<br />
∠ = °.<br />
What type of triangle is ∆ AED ? ____________ ∆ ABD ? ____________<br />
m∠ ADE = _______ m∠ AEB = _______ m∠ BAE = _______<br />
m∠ BCE = _______ m∠ EDC = _______ m∠ ADC = _______<br />
L<br />
R<br />
H J<br />
B<br />
E<br />
15<br />
C<br />
6<br />
A<br />
8<br />
D<br />
K<br />
S
Name ________________________________________ <strong>Trapezoid</strong> <strong>and</strong> <strong>Kite</strong> Homework<br />
Period ________________ Date ____________
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