staar geometry review reporting category 3
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STAAR GEOMETRY REVIEW Reporting Category 3
1
(G.6) Dimensionality and the geometry of location:
The student analyzes the relationship between three-
dimensional figures and related two-dimensional representations and uses these representations
to solve problems.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.6)(A) - Describe and draw the intersection of a given plane with various three-dimensional geometric figures. (Supporting Standard)
Academic Language Notes
Vertex
Prism
Cylinder
Pyramid
Cone
Cube
Cross Section
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.6)(A) Describe and draw the intersection of a given plane with various three-dimensional geometric figures. (Supporting Standard)
1. What shape is the cross section formed by
a cone and a plane that is perpendicular to
the base and that passes through the vertex
of the cone
A. circle
B. triangle
C. trapezoid
D. rectangle
3. Which set of shapes could be cross sections of
a square pyramid?
2. Which of the following best models a
cross section that represents the
intersection of a plane and a prism?
F. A tile on the floor of a room
G. An ice cube from a tray
H. A single card from a deck of cards
J. A bead on a necklace
4. How can a chef cut a cube-shaped cheese to
make slices with triangular faces?
F. Cut the cheese in half from top to bottom
G. Cut the cheese in half from side to side
H. Cut through three edges that meet at one
vertex
J. Cut the cheese diagonally
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5. Allison has a piece of wood that was in
the shape of a rectangular pyramid. Using
a saw she cut the piece of wood vertically
through the vertex of the pyramid. What
shape is the cross section of the pyramid?
A. triangle
B. rhombus
C. square
D. rectangle
7.
The figure below is intersected by a plane
parallel to its base. What shape is the cross
section?
A. pentagon
B. hexagon
C. square
D. triangle
6. Which of the following shapes cannot
have a cross section in the shape of a
quadrilateral?
F. cylinder
G. pyramid
H. prism
J. sphere
8.
The figure above is intersected by a plane
parallel to the base. What shape could be the
cross-section?
F. circle
G. cone
H. cylinder
J. triangle
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9. A cylinder-shaped carton of ice cream is cut
by a plane that is perpendicular to the bases.
What is the shape of a cross-section?
A. circle
B. ellipse
C. rectangle
D. triangle
11. How many cross sections shapes can you get
from a sphere?
A. 1
B. 2
C. 3
D. 4
10.
Which of the following shapes could not
represent the cross section of a plane and
pyramid like the one shown?
F. triangle
G. rectangle
H. square
J. trapezoid
12.
Which of the following statements best
describes the intersection of a plane that is
parallel to the base of the pyramid shown
above?
F. The cross section will always be a regular
pyramid.
G. The cross section will sometimes be a
regular pyramid.
H. The cross section will never be a regular
pyramid.
J. Not here
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.6) Dimensionality and the geometry of location:
The student analyzes the relationship between three-
dimensional figures and related two-dimensional representations and uses these representations
to solve problems.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.6)(B) - Use nets to represent and construct three-dimensional geometric figures. (Supporting Standard)
Academic Language Notes
Net
Perspective
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.6)(B) Use nets to represent and construct three-dimensional geometric figures. (Supporting Standard)
1. Which net best represents the tetrahedron
shown below?
2. 1) Which of the nets below does not form the
prism pictured?
A. F.
B.
G.
C.
H.
D.
J.
STAAR GEOMETRY REVIEW Reporting Category 3
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3. 2) Which net below best represents the solid
figure pictured here?
4. 3) When folded on the dotted lines, which net
will not form a rectangular prism?
4)
F.
5) A.
G.
6)
B.
H.
C.
J.
D.
STAAR GEOMETRY REVIEW Reporting Category 3
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5. Which of the following nets can be
folded along the dashed line to form a
cube??
6. 7) Which net represents a cylinder?
A. F.
B.
G.
C. H.
D.
J.
J)
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.6) Dimensionality and the geometry of location:
The student analyzes the relationship between three-
dimensional figures and related two-dimensional representations and uses these representations
to solve problems.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.6)(C) - Use orthographic and isometric views of three-dimensional geometric figures to represent and construct three-dimensional geometric figures and solve problems. (Supporting Standard)
Academic Language Notes
2-Dimensional Figure
3-Dimensional Figure
Perspective
Orthographic View
Isometric View
Surface Area
Volume
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.6)(C) Use orthographic and isometric views of three-dimensional geometric figures to represent and construct three-dimensional geometric figures and solve problems. (Supporting Standard)
1. 1) The three-dimensional figure below is
constructed from 16 identical blocks.
Which of the following best represents the
same structure from a different view?
2. 2) The top and front side view of a three-
dimensional structure are shown below.
Top Front
Which structure corresponds with these
images?
A.
F.
B.
G.
C.
H.
D.
J.
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3. 8) Which diagram shows the top view of the
solid below?
9)
4.
Which is the correct isometric drawing of the
figure with the orthographic drawing shown
above?
A.
F.
B.
G.
C.
H.
D.
J.
STAAR GEOMETRY REVIEW Reporting Category 3
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5. 3) What is the volume of a 3-dimensional object with the dimensions shown in the three views below?
Record your answer and fill in the bubbles on grid.
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.7) Dimensionality and the
geometry of location: The student understands that
coordinate systems provide convenient and efficient ways
of representing geometric figures and uses them
accordingly.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.7)(A) - Use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures. (Supporting Standard)
Academic Language Notes
1-Dimensional Coordinate System
2-Dimensional Coordinate System
Points
Lines
Rays
Line Segments
Figures
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.7)(A) Use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures. (Supporting Standard)
1. The graph for GK below maps one fourth of the course for 10km marathon. Water and first aid
stations are placed throughout the course as shown.
Using the clues below, how many more meters would a participant at Water Station H need to run to
reach First Aid Station I?
I. The distance from Start to Water Station H is 510 m.
II. The distance from Start to Water Station J is 1.94 km.
III. The distance from Water Station H to First Aid Station I is 30 meters less than the distance from
First Aid Station I to Water Station J.
A. 560 m B. 625 m C. 700 m D. 730 m
2.
On Main Street, the post office is the midpoint between the restaurant and the parking garage. The
public restroom is the midpoint between the restaurant and the post office, and the public phones are
located midway between the public restrooms and the parking garage.
If the distance from the restrooms to the post office is 12 yards, how far is it from the restaurant to
the public phones?
F. 18 yards G. 24 yards H. 30 yards J. 36 yards
Water
H
Start
G
1st Aid
I
Water
J
1st Aid
K
A B C D E.
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3. Which of the following best describes the
graph of the inequality -5 ≤ x ≤ 1?
A. point
B. line
C. ray
D. segment
6. Which of the following relationships could
not be used to determine the length of DR, as
shown below?
F. DF + FQ + QR = DR
G. DQ + QR = DR
H. DQ + FR = DR
J. DF + FR = DR
4. Which of the following inequalities when
graphed would best represent opposite rays?
F. x < 4 and x > 4
G. x ≤ 4 and x > 4
H. x < 4 and x ≥ 4
J. x ≤ 4 and x ≥ 4
7.
If the circle shown has a radius of 4 units,
which of the following points would not be on
the circumference of the circle?
A. (6, -3)
B. (-2, 6)
C. (2, 1)
D. (-2, -3)
5. If a circle has as its center the point (-3, -4)
and a radius of 4.5 units, through which
quadrant(s) does the circle pass?
A. II, III, and IV
B. 1, III, and IV only
C. 1, II, and IV only
D. III, and IV only
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8. A hexagon is graphed on the coordinate grid.
Which two coordinate points lie on the same
line of symmetry on this hexagon?
F. (–3, –1) and (0, 3)
G. (–1, 3) and (–1, –1)
H . (0, 3) and (0, –1)
J. (–4, 1) and (1, 1)
9.
Four students are choreographing their
dance routine on a stage that measures 15
yards by 10 yards. Three of the students -
Rebecca (R), Krista (K) and Julian (J) -
graphed their starting positions as shown on
the grid on the right. If the fourth student,
Enrique (E) is no more than 4 yards away
from any of the other three students, which
coordinate could represent his starting
position?
A. (8, 8)
B. (8, 5)
C. (9, 3)
D. (10, 4)
10.
Parallelogram ABCD is graphed on the
coordinate plane shown below. What are the
coordinates of point C?
F. (x, y)
G. (y, x + z)
H. (x + z, y)
J. (x - z, y)
y
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.7) Dimensionality and the
geometry of location: The student understands that
coordinate systems provide convenient and efficient ways
of representing geometric figures and uses them
accordingly.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.7)(B) Use slopes and equations of lines to investigate geometric relationships, including parallel lines, perpendicular lines, and special segments of triangles and other polygons (READINESS STANDARD)
Academic Language Notes
Slope
Slope-Intercept form of a linear equation
Standard form of a linear equation
Parallel lines
Perpendicular lines
Opposite reciprocal
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(G.7)(B) Use slopes and equations of lines to investigate geometric relationships, including parallel lines, perpendicular lines, and special segments of triangles and other polygons (READINESS STANDARD)
1. Given P(3, 7), Q (-2, -8), R(0, 3) and S(-4, -9),
what is the relationship between and
?
A. The lines are parallel.
B. The lines are perpendicular.
C. The points are collinear.
D. The lines are skew.
3. The rays graphed below represent varying rates of
change, or speed, from the relationship
. Which ray represents a slope, or
rate of change that is closest to 45 mph?
A.
B.
C.
D.
2. Which of the following best describes the
graph of the system of equations shown
below?
6x − 14y = −28
3y − 7x = −14
F. The lines are parallel.
G. The lines are the same.
H. The lines intersect but are not
perpendicular.
J. The lines intersect and are perpendicular.
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4. A right triangle is formed by the x-axis, the
y-axis and the line , as shown
below.
Which pair of equations can be used to
create a fourth vertex such that a rectangle is
formed?
F. and
G. and
H. and
J. and
5. Which equation describes the graph of a line
perpendicular to the one shown on the graph?
A.
B.
C.
D.
STAAR GEOMETRY REVIEW Reporting Category 3
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6.
Points W, X, Y and Z represent the vertices
of a parallelogram. Which of the following
equations does not represent the equation of
a line that contains one of the sides of the
parallelogram?
F. y = -3
5x +
3
8
G. 5x + 3y = 8
H. y = -3
5x + 16
J. 5x + 3y = 16
7.
Which of the following equations does not
represent the perpendicular bisector of one of
the sides of the triangle?
F. y = 3
G. x = 3
H. y = -x + 9
J. y = x – 3
8.
Which of the following best describes at least one step
to prove whether or not parallelogram ABCD is a
rectangle?
A. Determine if slopes of AD and AB are equal.
B. Determine if slopes of AD and AB are opposite
reciprcals.
C. Determine if the slopes of AD and BC are
reciprocals.
D. Determine if the slopes of AD and BC are opposite
reciprocals
STAAR GEOMETRY REVIEW Reporting Category 3
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(G.7) Dimensionality and the
geometry of location: The student understands that
coordinate systems provide convenient and efficient ways
of representing geometric figures and uses them
accordingly.
Name: ____________________________________________________
Date: ____________________________________________________
Period: ____________________________________________________
Topic: (G.7)(C) [Derive and] use formulas involving length, slope, and midpoint. (READINESS STANDARD)
Academic Language Notes
Slope Formula
Midpoint
Midpoint Formula
Length
Distance Formula
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(G.7)(C) [Derive and ] use formulas involving length, slope, and midpoint. (READINESS STANDARD)
1. In a baseball diamond, or rhombus, all of the
angles measure also making it a square. If
the bases are graphed as shown below, to the
nearest tenth, what is the direct distance
between home plate (shown at the origin) and
second base?
A. 63.8 ft.
B. 127.3 ft
C. 153.7 ft
D. 180 ft
2.
Of the segments graphed below, which one is
the closest to having a length of 5 units?
F.
G.
H.
J.
3.
Which of the following segments has a midpoint
located at -4?
A. PQ
B. PR
C. PS
D. PT
A
B
C
D
E.
F
G
H
2 4–2–4 x
2
4
–2
–4
y
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4. On the hexagon graphed below, what is the
slope of the line of symmetry that bisects
and ?
F.
G.
H.
J.
5.
A coordinate grid is placed over a map. City A is
located at (–3, 2), and City B is located at (4, 8).
If City C is at the midpoint between City A and
City B, which is closest to the distance in
coordinate units from City A to City C?
A. 4.61 units
B. 6.52 units
C. 9.22 units
D. 21.25 units
6.
AB is a diameter of the circle shown below.
Which is closest to the length of the radius of the
circle?
F. 3.1 units
G. 4.3 units
H. 6.1 units
J. 12.2 units
F
G H
I
JK2 4 6 8 10 x
2
4
6
8
10
y
y
x0 1 2 3 4 5 6 7 8
1
2
3
4
56
7
8
-1
-2
-3-4-5-6-7-8 -1-2
-3
-4
-5
-6-7
-8
9
9
y
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7. A line segment has an endpoint at (3, 2).
If the midpoint of the line segment is
(6, -2), what are the coordinates of the
point at the other end of the line segment?
A. (4.5 , 0)
B. (0 , 6)
C. (9 , 4)
D. (9 , -6)
9. ΔABC has vertices at A(0, 0), B(9, 12), and
C(25, 0). What is the distance between the
midpoint of AB and the midpoint of AC ?
A. 7.5 units
B. 10 units
C. 15 units
D. 20 units
8. If ABCD is a parallelogram, what are the
coordinates of point B?
F. (3, 7)
G. (5, 5)
H. (7, 8)
J. (7, 3)
10. What is the distance between the points
(-3, 5) and (5, -1)? Round to the nearest
hundredth of a unit as necessary.
Record your answer and fill in the bubbles on
grid.