Download Geometry Summer 2 Final Exam

Geometry Summer 2 Final Exam
Some questions (c) 2015 by Region 10 Educational Service Center.
Some questions (c) 2015 by Progress Testing.
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1
A rectangle is a parallelogram. What is
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true of the diagonals of a rectangle
school is 10 ft high and 20 ft long. In
that is not true of the diagonals of a
a scale model of the school, the
parallelogram, in general?
billboard is 3.5 inches long. How many
A
They are perpendicular.
inches tall is the scale model?
B
They are congruent.
C
They bisect the angles of the
bubbles on your answer document.
rectangle.
Be sure to use the correct place
Record your answer and fill in the
value.
D They bisect each other.
2
A rectangular billboard for a local
Which of the following is sufficient
alone to define a square?
4
Julie's eye level is 5 feet above the
ground. She looks up at the top of a
75 foot tall cliff. Using a clinometer,
I. A parallelogram with 4 congruent
she measures the angle of elevation
sides
of her line of sight to be 52°. How far
II. A parallelogram with 4 right angles
is Julie standing from the base of the
III. A rectangle with 4 congruent sides
cliff?
IV. A rhombus with 4 right angles
F
V. A parallelogram with congruent
diagonals
F
I and II only
G I, II, and V only
59 ft
G 55 ft
H 51 ft
J
47 ft
H III and IV only
J
III, IV, and V only
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5
The drawing below shows triangle ABC.
Which set of coordinates gives the vertices of the translation of triangle ABC 7 units to
the left?
A
(−5, −4), (−2, 1), (1, −3)
B
(2, −4), (5, 1), (8, −3)
C
(−5, 3), (−2, 8), (1, 4)
D (3, 2), (5, 1), (4, 8)
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6
Figure B is a congruent image of Figure A.
Which of the following terms identifies Figure B as a single transformation of Figure A?
F
Rotation
G Reflection
H Dilation
J
Translation
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7
The rectangle shown below is 42 meters long and 36 meters wide.
Which of the following rectangles is similar to the rectangle above? (None of the
drawings are to scale.)
A
B
C
D
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8
Mindy wants to know the height of the maple tree in her backyard. She stands 40 feet
away from the base of the tree and holds a ruler 24 inches away from her face. She
looks at the top of the tree and measures where her line of sight intersects the ruler.
Mindy's eye level is 4 feet 8 inches above the ground. How tall is the maple tree in
Mindy's backyard?
F
20 ft. 8 in.
G 21 ft. 4 in.
H 22 ft.
J
23 ft. 8 in.
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9
In Ponce de Leon Park there is a flagpole that is exactly 50 feet tall. Nearby there is a
pine tree that appears to be nearly as tall as the flagpole. On a sunny afternoon the
flagpole is casting a 15-foot-long shadow on the ground. The pine tree is casting a 12foot-long shadow on the ground at the same time.
How much taller than the pine tree is the flagpole?
A
3 feet
B
8 feet
C
10 feet
D 12 feet
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10
∆PQR is similar to ∆P'Q'R'. Which
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Are the two triangles similar? If yes,
statement is true of this
what is the ratio of a side of ∆ABC
transformation?
to the corresponding side of ∆DEF?
F
A
No, the triangles are not similar.
B
Yes; ∆ABC is dilated by a factor
Each angle of ∆P'Q'R' is the
size of the corresponding angle
in ∆PQR.
G Each angle of ∆P'Q'R' is twice the
of .
C
Yes; ∆ABC is dilated by a factor
size of the corresponding angle
in ∆PQR.
H ∆PQR was dilated by a factor of .
J
of .
D Yes; ∆ABC is dilated by a factor
of .
∆PQR was dilated by a factor of
2.
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12
Concrete workers are busy
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What is the length of h, the altitude,
preparing to pour a rectangular patio
of the equilateral triangle below?
on the rear of David’s new house.
The workers have laid out, using
boards, what appears to be a
rectangle to frame where the
cement will go.
What could the workers do to
ensure that the patio is really
rectangular before pouring the
cement?
F
Determine if the opposite sides
are congruent.
G Determine if the diagonals are
perpendicular.
H Determine if the corresponding
angles add to 180°.
J
Determine if the diagonals are
congruent.
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14
The arm of a steel crane is 62-feet
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In the right triangle below, the length
long. When it is fully extended, the
of crane arm forms a 30-degree angle
is 30.
with a line parallel to the ground.
How many feet above the ground is
the top of the crane?
F
31
G 38
What is the length of A
H J
?
B
C
D Page 11
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16
18
What is the length of in ?
Suzanne and Mindy were solving the
problem below involving
trigonometric ratios for their
homework.
F
4 feet
Suzanne found x ≈ 14.9 by solving
G
sin61° = feet
H
J
feet
16 feet
. Mindy found z = 29° by
solving 180° − (90°+61°).
Which of the following would help
the girls find the value of y?
F
tan61° = G tan61° = 17
The floor of a moving van is 3 feet
off of the ground. The ramp into the
H cos61° = van makes a 12° angle with the
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ground. How long is the ramp?
A
14.4 feet
B
14.1 feet
C
12 feet
cos61° = D 3.1 feet
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What is the length of in ?
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In the triangle below, the length of
is 6.
A
2 centimeters
What is the length of B
F
C
4 centimeters
D centimeters
centimeters
?
G
H
J
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