Short Answer
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1
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In the following figure,  . If  ,  , and  , what is the measure of  ? 
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2
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Ciara wants to enlarge an  photograph (as shown below) by
quadrupling the lengths of each side. What effect will that have on the area of the
photograph? 
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3
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Find the length of  , given that  is a median of the triangle and AC
= 54 .
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Find the value of the variable(s). If your answer is not an integer, leave it
in simplest radical form.
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4
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5
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LMNO is a parallelogram. If NM = x + 20 and OL =
4 x + 8 find the value of x and then find NM and OL. 
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6
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A triangle has sides with lengths of 12 units, 21 units, and 12 units. If the
dimensions of the triangle are scaled by  , what will the new perimeter be?
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7
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Estimate the area of the circle. Each square represents 9 square
kilometers. 
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8
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What is the measure of  in Trapezoid LMNO? 
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9
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10
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Mr. Frank bought a Persian Rug that was 8 yards long. It had an area of
384 square feet. What was the width of the
rug?
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11
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Students in a carpentry class have created two similar triangular supports for a
dog house, shown in the picture below. What is the measure of  ? 
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Explain why the triangles are similar. Then find the value of
x.
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12
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13
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14
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The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find
the perimeter.
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15
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 bisects   and  Solve for
x and find  The diagram is not to scale. 
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16
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Two similar right triangles are shown below. What is the value of
x?  
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17
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In the figure below, Triangle ABC is similar to Triangle JKL. What
is the length of  ?  
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Find the area. The figure is not drawn to scale.
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18
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19
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Eric uses a ruler to measure the distance between the point on the compass and
the pencil point to be 6 inches. Estimate the circumference of the circle she drew. 
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20
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The area of a square garden is 200 m2. How long is the
diagonal?
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21
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What is the name of the segment inside the large triangle?
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Find the area of the circle to the nearest tenth.
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22
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23
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Given   and  , find the length of
QS and TV.
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24
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In triangle ABC,  is a right angle and  45 °. Find BC. If you answer is not
an integer, leave it in simplest radical form. 
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25
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Name a median for 
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26
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Enrico is gluing ribbon around the outside of the frame shown. About how many
inches of ribbon does he need? Use 3.14 for p. 
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27
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ABCD is a parallelogram. If  then  The diagram is not
to scale. 
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28
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What is the most precise name for quadrilateral ABCD with vertices
A(–2, 2), B(0, 5), C(5, 5),
and D(3, 2)?
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