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TEST NAME: Math 1 Review­Geometry
TEST ID: 511038
GRADE: 09
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Math 1 Review-Geometry
Page 1 of 23
Student: Class:
Date:
1.
In measures 90 degrees. Which statement must be true?
A.
B.
C.
D.
2.
Which group of ordered pairs represents a rectangle with an area of 48
units2?
A.
(–4, 6), (8, 6), (8, 2), (–4, 2)
B.
(4, 6), (8, 6), (8, 2), (–4, 2)
C.
(8, 10), (5, 10), (5, 3), (8, 3)
D.
(–8, 10), (5, 10), (5, 3), (8, 3)
3.
Rectangle JKLM has vertices is dilated by a scale factor of Rectangle to form Rectangle The
center of dilation is the origin. What is the relationship between the
slope of and the slope of A.
The slope of is three times the slope of B.
The slope of is the same as the slope of C.
The slope of is the negative reciprocal of the slope of D.
The slope of is one­third the slope of Math 1 Review-Geometry
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4.
Which of these would prove that triangle PQS is congruent to triangle
RQT?
A.
Triangle PQS is a dilation of triangle RQT, so the triangles are
congruent by AAA.
B.
Triangle PQS is a dilation of triangle RQT, so the triangles are
congruent by SSS.
C.
Triangle PQS is a reflection of triangle RQT, so the triangles are
congruent by SSS.
D.
Triangle PQS is a reflection of triangle RQT, so the triangles are
congruent by AAA.
5.
A toy, in the shape of a sphere, has a radius of 5 inches. The toy is two­
thirds full of water. Approximately how many cubic inches of water are in
the toy? (Use , where V is the volume, and r is the radius.)
A.
524 cubic inches
B.
349 cubic inches
C.
314 cubic inches
D.
209 cubic inches
6.
In and to create If is dilated by a scale factor of 2
what must be true in order to show that A.
Because in dilated images the angle measures are proportional, and B.
Because in dilated images the angle measures are proportional, and C.
Because dilations preserve angle measures, and D.
Because dilations preserve angle measures, and Math 1 Review-Geometry
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7.
The vertices of a quadrilateral are located at W(–3, 2), X(3, 2), Y(–5, –1),
and Z(2, –1). Which is true about the quadrilateral?
A.
WX = YZ
B.
WY = XZ C.
WX ll YZ
D.
WY ll XZ
8.
Two students measure the angle between the ground and the top of a
flagpole at a distance of 30 feet from the base of the flagpole, as shown
in the diagram.
Which equation could be used to find the height of the flagpole?
A.
B.
C.
D.
Math 1 Review-Geometry
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9. A directed line segment begins at and ends at What point divides the directed line segment in a ratio of 1:2?
A.
B.
C.
D.
10.
What is the area of the quadrilateral with vertices at (1, 3), (3, –1),
(–1, –3), and (–3, 1)?
A.
5 units2
B.
10 units2
C.
20 units2
D.
40 units2
Math 1 Review-Geometry
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11. In the diagram, is parallel to What is MN?
A.
6 cm
B.
8 cm
C.
12 cm
D.
18 cm
Math 1 Review-Geometry
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12.
In circle C below, is measured in radians.
Which expression can be used to find the area of the shaded sector?
A.
B.
C.
D.
13.
Omar is setting up a proof of the Pythagorean theorem. He draws a
scalene right triangle and plans to use similar triangles in his proof.
What else should he draw?
A.
the perpendicular bisector of the triangle's hypotenuse
B.
the angle bisector of the triangle's right angle
C.
the median from the triangle's right angle
D.
the altitude to the triangle's hypotenuse
Math 1 Review-Geometry
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14.
Joan proved that a line parallel to one side of a triangle divides the two
others proportionally. She writes the proof shown below.
Which of these reasons would NOT be included in Joan’s proof?
A.
AA Similarity Postulate
B.
Corresponding Angles Postulate
C.
Subtraction Property of Equality
D.
Alternate Interior Angles Theorem
15.
Which term best describes the shape that has vertices at (0, 0), (2, 3),
(–2, 4), and (–4, 1)?
A.
parallelogram
B.
rhombus
C.
rectangle
D.
square
Math 1 Review-Geometry
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16. The image of dilated with center P is Which statement must be true?
A.
is parallel to B.
intersects point P.
C.
is perpendicular to D.
is farther from point P than is.
17.
The endpoints of a line segment are located at (3, 6) and (4, –5). What
are the coordinates of the midpoint of the line segment?
A.
B.
C.
D.
18.
Which is an equation of the line that is parallel to the graph of and has a y­intercept of –8?
A.
3x + 4y = 32
B.
3x + 4y = –32
C.
3x – 4y = –32
D.
3x – 4y = 32
Math 1 Review-Geometry
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19.
Triangle ABC is divided by as shown below.
What value of x guarantees that A.
4
B.
4.5
C.
8
D.
10.5
20.
Consider the given figure.
What information about this figure would be used as a step in a proof
of the Pythagorean theorem? A.
showing that B.
showing that C.
showing that D.
showing that is the perpendicular bisector of Math 1 Review-Geometry
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21.
Henry needs to prove that He drew with an
altitude from C, as shown below.
Which of these equations should Henry use in his proof? I. II. III. A.
I only
B.
II only
C.
I and III only
D.
I, II, and III
22.
A can of paint, shaped like a cylinder, has a volume of 308 inches3. The
height of the can measures 8 inches. What is the approximate measure
of the radius of the can of paint?
A.
3.5 inches
B.
6.0 inches
C.
7.0 inches
D.
12.25 inches
Math 1 Review-Geometry
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23.
Andrew drew parallelogram PQRS on a coordinate plane with vertices at and Which set of assertions is
sufficient to prove that PQRS is a square?
A.
B.
C.
D.
24.
The volume of a cylindrical can is 553 cm3. The height of the can
measures 11 cm. What is the approximate diameter of the can?
A.
4 cm
B.
8 cm
C.
16 cm
D.
32 cm
Math 1 Review-Geometry
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25.
Margaret is using a cardboard model to design a flowerpot. To create this
flowerpot model, she cut the tops off of two congruent square pyramids
that each had a height of 40 inches and a base length of 15 inches. She
used the bottom half of one pyramid and the bottom one­fifth of the
other pyramid and then attached the bases as shown.
Margaret would like to use this model to determine how much potting
soil a flowerpot this size and shape would hold. Which expression
represents the volume of the flowerpot?
A.
B.
C.
D.
Math 1 Review-Geometry
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is the image of 26.
Which transformation would map A.
translation
B.
rotation
C.
reflection
D.
dilation
to is transformed on a coordinate plane to obtain its congruent image
Which of the following statements could be true?
27.
I. II. is the translated image of is the reflected image of III. is the rotated image of A.
only I
B.
only II
C.
I, II, and III
D.
only I and II
28.
Two vertices of a parallelogram are (1, 3) and (11, 3). The height of the
parallelogram is 5 units. Which could be the coordinates of the other two
vertices if they are both in the fourth quadrant?
A.
(3, –2) and (13, –2)
B.
(3, –6) and (13, –6)
C.
(5, 8) and (13, 8)
D.
(–8, –2) and (13, –2)
Math 1 Review-Geometry
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29.
Triangle MNO has vertices M(2, –1), N(4, –5), and O(0, –5). Segment MP
represents the altitude of triangle MNO. Is triangle MPO a right triangle
and why?
A.
No, because the altitude is not perpendicular to the base.
B.
Yes, because the altitude is perpendicular to the base.
C.
No, because the slopes of the altitude and base are equal.
D.
Yes, because the slopes of the altitude and base are equal.
30.
What are the coordinates of the midpoint of the line segment with
endpoints at (4.5, 7.5) and (9, 12)?
A.
(6.5, 9.5)
B.
(6.75, 9.75)
C.
(7.75, 10.75)
D.
(13.5, 19.5)
31.
A rectangle on a coordinate grid has vertices at and The rectangle is rotated 90° clockwise about the origin and then
translated 6 units up and 2 units right. Which graph correctly shows the
transformed rectangle?
A.
Math 1 Review-Geometry
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B.
C.
D.
Math 1 Review-Geometry
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32.
Nolan wants to determine the length of the bridge (x) across a pond. He
makes a few measurements around the pond, as shown in the figure
below.
What is the approximate value of x?
A.
34 meters
B.
33 meters
C.
15 meters
D.
13 meters
Math 1 Review-Geometry
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33. Triangle STU is graphed on the coordinate plane.
What is the area of Triangle STU?
A.
15 square units
B.
18 square units
C.
25 square units
D.
30 square units
Math 1 Review-Geometry
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34.
Look at the figure below.
Scott wrote the following statements based on the figure.
Which of his statements must be true, and why? the radius A.
is perpendicular to tangent and
is perpendicular to tangent and
is perpendicular to tangent and
intersects the circle.
the radius B.
intersects the circle.
the radius C.
intersects the circle.
the radius D.
is perpendicular to tangent and
intersects the circle.
35.
Which best describes how to find the volume of a pyramid?
A.
B.
C.
D.
multiply the area of the base by the height multiply the area of the base by the height and by multiply the area of the base by the height and by multiply the area of the base by the height and by the slant height
Math 1 Review-Geometry
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36.
Mike wants to prove that the diagonals of parallelogram JORD bisect each other. To do
that, he labels the intersection of the diagonals as point N and composes the proof shown
below.
Step
1 JORD is a parallelogram.
Given
2
Opposite sides of a parallelogram are congruent.
?
and 3
4
Justification
Definition of a parallelogram
?
5
?
6
and 7
and Corresponding parts of congruent triangles are
congruent.
Definition of congruent line segments
8 N is the midpoint of bisects and 9
and Definition of midpoint
bisects Definition of segment bisector
The statement of step 3, and the justifications for steps 4 and 5, are missing from this
copy. Which set of statements correctly completes Mike’s proof?
A.
B.
C.
D.
Math 1 Review-Geometry
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37.
Which combination of three­dimensional shapes could be used to best
model the table shown below?
A.
6 rectangular prisms and 1 cube
B.
4 right triangular prisms and 1 cube
C.
2 rectangular prisms and 2 right triangular prisms
D.
3 right triangular prisms and 2 rectangular prisms
38.
Point divides the line segment joining points such that and What are the coordinates of point B?
A.
B.
C.
D.
Math 1 Review-Geometry
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39.
A proof of the Alternate Interior Angles Theorem, using parallel lines a
and b with transversal m, is shown below.
Which property is used in step 4?
A.
reflexive property
B.
transitive property
C.
associative property
D.
commutative property
Math 1 Review-Geometry
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40.
Square ABCD, shown on the graph below, is rotated 90° counterclockwise
about point A to form square Which statement best describes line segments and A.
and are parallel.
B.
and are perpendicular.
C.
and lie on the same line.
D.
and intersect but are not perpendicular to each other.
Math 1 Review-Geometry
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