trapezoid guide g lt - advanced pre-calculus · pdf filetrapezoid study guide a trapezoid is a...
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Trapezoid Study Guide
A trapezoid is a quadrilateral with exactly one pair of parallel sides.The parallel sides are called bases and the nonparallel sides arecalled legs.
An isosceles trapezoid is a trapezoid whose legs are congruent..:. The diagonals of an isosceles trapezoid are congruent. ,_
* b~se L~ a.f'e. ~. [ :31'- "'''' \;~. o~ 5i",""eV; ~ .: .
The median of a trapezoid is the segment that joins the midpointsof the legs. The median is parallel to the bases and its measure ishalf the sum of the measures of the bases.
vY\e.<:l. \ Q.,\I\ = 0.\1 ~ 0C 'c 0..Se~
ABCD is an isosceles trapezoid. MN is a median.
Ex. 1 AS = 30, CD = 42, MN = 3~Ex. 2 AB = 18, MN = 25, CD = .3~
Ex. 3 AB = 6x - 3; MN = 15; CD = ax + 5.
18+-')(::: :"C·'2- (:J4...J i
\SS+~ =- 50Find x, AS, and CD.
Ex. 4 mLl = 4x - 60; mLC = 30 - x.
It;. 'f..=- 28
y., =: ~A~=- q
./ CO=-d-.\Find x, mz l, and mLC.
~ '1>- loo -:: 30-"1-
5'f. - qox. 1~
"1'Y\ L(.= \2-
Ex. 5 mLB = 4x + 40, mLD = 3x. find x, mLB, and mLD.
4~..(-~o+ 30 = ,go- \~Of 'f.. -
'(.. -::.-~ 0
LtBase G
\E Base F
median
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I 0: oj ; ; II! x
Ex. 7 Given: ~9sceles trapezoid ABeD, mLABD = 20°, mLDAC = 75°. (Note that an isosceles.-- ..~~~
trapezoid has Q lineOf symmetry.)
mLl= J.OmL2= 15mL3= ifomL4= \fo
mL5= ~SI) .-d.O .' C.
mL6=
mL7= 65mL8= :).0mLDAB= q~
mLABC= qS-m~,.o.DC; S§mLBCD = ~S
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Trapekoid Study Guide.-,
A trapezoid is a quadrilateral with exactly one pair of parallel sidesThe parallel sides are called bases and the nonparallel sides arecalled legs.
An isosceles trapezoid is a trapezoid whose legs are conqruent.
The median of a trapezoid is the segment that joins the midpointsof the legs. The median is parallel to the bases and its measure ishalf the sum of the measures of the bases.
A BCD is an isosceles trnpezoid. MN is a median.
Ex. 1 AB = 30, CD = 42, MN = ~
Ex.2 AS = 18, MN:: 25, CD = _
Ex. 3 AS = 6x - 3;MN = 15; CD = 8x + 5. Find X, AS,and CD.
Ex.4 mz l > 4x - 60; m;;:C:= 30 - x. Find x, mz'L, and mZC.
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