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Enriched Pre-Calculus
Unit 1 Worksheet #3
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Parallelograms
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The figure at the right is a parallelogram. Use this figure and
the information given to solve each problem.
1. If mL BCD = 125, find mL BAD.
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2. If mL BAC = 45, find mL ACD.
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IfmLDAB
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2x -10 and mLADC = 3x, find mLDAB.
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If mL BAD = 3x - 12 and mLBfJe = x + 40, find mL BAD.
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Squares and Rhombi
Use square ABeD and the given information to find each
value.
IfmLAEB
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A
B
3x, findx.
If mL BAC = 9x, findx.
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IfAB = 2x + 4 and CD = 3x - 5, findBC.
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Trapezoids
MATH is an isosceles trapezoid with bases MA and TH. Use
the given information to solve each problem.
IfMA = 23.9 and CD = 16.4, findHT.
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If CD = x
+ 12 and MA + HT =
4x
+ 3, find x.
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If mL TAM = 63, find mLHMA.
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If mL HeD =
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Integration: Algebra
Using Formulas
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Find the perimeter and area of each rectangle.
1.
2.
3in.
3.
18.3 mi
Find the missing measure in each formula.
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e = 4, w = 2, P
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A
=
32,
W
=
6.25,
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Find the area of each figure or shaded region. Assume that
angles that appear to be right are right angles.
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30 mm
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The sides of a parallelogram have lengths 8 inches and
16 inches and one of the angles of the parallelogram has a
measure of 45°, Find the area of the parallelogram,
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Area of Triangles, Rhombi, and Trapezoids
Find each missing measure.
1. The area of a triangle is 216 square units, If the height is
18 units, whatis the length of the base?
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~. The diagonals of a rhombus are 21 and 16 centimeters long.
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Find the area of the rhombus.
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The height of a trapezoid is 9 em. The bases are 8 em and
12 em long. Find the area.
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A trapezoid has an area of 908.5 cm''. If the altitude measures
23 em and one base measures 36 em, find the length of the
other base.
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The measure of the consecutive sides of an isosceles trapezoid
are in the ratio 8:5:2:5. The perimeter of the trapezoid is
140 inches. If its height is 28 inches, find the area of the
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trapezoid.
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POlygons
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State the number of sides for each convex polygon.
1. quadrilateral
4. heptagon
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2. octagon
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5. decagon
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3. 83-gon
6. hexagon
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Is the polygon convex or concave.
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Name the polygon according to the number of sides it h as.
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Is the polygon regular? Explain.
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Find the sum of the measures of the interior angles of each
convex polygon.
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heptagon
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The number of sides of a regular pOlygon is given. Find the
measure of an interior and an exterior angle of the pOlygon.
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