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Directions:
These are the Part II, III, and IV long response questions. Have paper
ready to work out the problems, then check your answers by clicking the ANSWER
button. You may use your graphing calculator.
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Part II:
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29.
In the trapezoid at the right, AH = 4, HB=
16, CD = 14
and m<A = 45º.
Find the area of the trapezoid. |
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30. In the right triangle shown, AD
= x - 2, AC = x + 2,
and DB = x + 6. Find the value
of x. |
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31.
In the triangle at the
right,
 .
If the ratio
of m<A :
m<B = 2 : 5, find m<A and m<B. |
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32.
Triangle ABC
has vertices A(1,1), B(3,2) and C(1,6).
Find the new points A'B'C' if the triangle is
reflected
across the line x = 0.
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33.
Using a compass
and straightedge, construct
 similar
to the given triangle ABC,
using the given segment
 .
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34.
STATEMENT: "If a
diameter of a circle is perpendicular to a chord,
then it bisects the chord."
Write the contrapositive of the
statement and state whether it is true or false.
Contrapositive:
True or False? |
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Part III:
35. A
triangular prism is shown at the right with
 .
If AC = 12 cm. and CD =
20 cm., find the volume of the
prism to the nearest tenth of a
cubic centimeter.
(The formula for the volume
of a prism is V = Bh, where B is the
area
of the base and h
is the height.)
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37.
Solve this
system of equations for x and y.
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Part IV:
38.
A rhombus
MATH is drawn in the coordinate plane with
coordinates given. Diagonals
and
are drawn.
M(-2,-1)
A(0,5), T(6,3) H(4,-3)
Prove: The diagonals of rhombus
MATH are perpendicular and bisect each other. |
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is a diameter with
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find m<AME.