7Math: Geometry
Name:
1.
Date:
Mr. Lui wants to build a bridge
across the creek that runs through his
property. He made measurements and
drew the map shown below.
2.
Based on this map, what is the
distance across the creek at the place
where Mr. Lui wants to put the
bridge?
A.
9 feet
B.
12 feet
C.
18 feet
D.
24 feet
Two sides and three vertices of a
square are shown on the coordinate
plane below.
What are the coordinates of the
fourth vertex of the square?
page 1
5.
3.
a) Plot and label point P(4; 6) and
point Q (4; 2) on your grid.
The gure below is a quadrilateral.
What is the value of x in the
quadrilateral?
b) Line segment PQ is one side of a
rectangle. On your grid, draw
rectangle PQRS with a length of
4 units and a width of 2 units.
Label point R and point S.
Write the coordinates of
point R and point S.
c) On your grid, draw the two
diagonals of rectangle PQRS.
What are the coordinates of the
point where the two diagonals
intersect?
4.
A right triangle and some of its angle
measures are shown below.
What is the value of x?
page 2
7Math: Geometry
7.
6.
The location of point P is shown on
the grid below.
Which of the following pairs of
coordinates best represents the
location of point P?
The coordinates of three of the four
vertices of rectangle PQRS are given
below.
Point P: (2; 5)
Point Q: (6; 5)
A.
(2; 3)
B.
(3; 2)
C.
(1 12 ; 2 12 )
D.
(2 12 ; 1 12 )
Point R: (6; 2)
a) On the grid, plot and label
points P, Q, and R.
b) On the grid, locate and plot the
fourth vertex of the rectangle and
label it S. Draw rectangle PQRS.
8.
A solid three-dimensional
the following faces:
gure has
two parallel bases that are
congruent triangles
c) On the grid, draw the re ection
of rectangle PQRS over the
x-axis.
three lateral faces that are
rectangles
d) Based on the re ection you
performed in part (c), write the
coordinates of the point that is
the image of point P.
Which of the following is a correct
name for this gure?
page 3
A.
rectangular prism
B.
rectangular pyramid
C.
triangular prism
D.
triangular pyramid
7Math: Geometry
9.
The stage in the auditorium at
Washington Middle School is shaped
like a quadrilateral with each of two
angles measuring 110 , as shown in
the diagram below.
10.
Quadrilateral ABCD is congruent to
quadrilateral GHEF, as shown in the
diagrams below.
Which side of quadrilateral GHEF
must be congruent to AB?
In the drawing, O1 is congruent to
O2. What is the degree measure of
O1?
page 4
7Math: Geometry
11.
Angelie shaded a gure on a coordinate plane, as shown below.
Which of the following best represents the re ection of Angelie's
y-axis?
A.
B.
C.
D.
page 5
gure across the
7Math: Geometry
12.
Karin used a single transformation of
trapezoid P to create the image Q on
the coordinate plane shown below.
14.
Gina drew the kite shown below.
Name two of the numbered angles
that must be congruent to each other.
Which of the following could describe
the transformation that Karin used?
13.
A.
re ection over the x-axis
B.
re ection over the y-axis
C.
translation down
D.
translation up
A pentagonal prism is shown below.
What is the total number of edges of
a pentagonal prism?
A.
7
B.
10
C.
12
D.
15
page 6
7Math: Geometry
15.
Parallel lines n and p are intersected
by transversal lines q and m, as
shown in the gure below.
16.
Lines q, m, and p intersect at a
common point.
a) What are the coordinates of
point Q?
a) What is the degree measure of
O1? Show or explain how you
got your answer.
b) On your grid, plot and label
points S( 5; 0) and R( 3; 0).
b) What is the degree measure of
O2? Show or explain how you
got your answer.
c) On your grid, plot and
label a point T so that
quadrilateral QRST is a rectangle.
What are the coordinates of
point T?
c) What is the degree measure of
O3? Show or explain how you
got your answer.
d) On your grid, draw a second
rectangle that meets the
following requirements:
d) What is the degree measure of
O4? Show or explain how you
got your answer.
It is congruent to
rectangle QRST.
The coordinates of each vertex
are positive numbers.
The vertices are labeled U, V,
W, and X.
e) What are the coordinates of each
vertex of rectangle UVWX?
page 7
7Math: Geometry
18.
17.
A pentagon and the measures of four
of its angles are shown below.
What is the value of x?
a) On your grid, draw the image of
triangle LMN after it is translated
4 units to the left. Label the
image PQR. List the coordinates
for points P, Q, and R.
b) On your grid, draw the image of
triangle LMN after it is translated
6 units up and 3 units to the
right. Label the image TUV. List
the coordinates for points T, U,
and V.
19.
A.
145
B.
120
C.
80
D.
60
The gure below shows two
intersecting lines.
c) On your grid, draw the image of
triangle LMN after it is re ected
over the x-axis. Label the image
XYZ. List the coordinates for
points X, Y, and Z.
Based on the given angle measure,
what is the value of x?
page 8
7Math: Geometry
20.
The gure below shows a hexagon on
a coordinate plane.
Both the x-axis and the y-axis are
lines of symmetry of the hexagon.
Point P is located at ( 2; 3). What is
the location of point Q?
A.
( 3; 2)
B.
( 2; 3)
C.
(2; 3)
D.
(3; 2)
page 9
7Math: Geometry
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7Math: Geometry
5/12/2022
1.
Answer:
Objective:
Points:
B
MA 7.G.2
1
12.
Answer:
Objective:
Points:
C
MA 7.G.6
1
2.
Answer:
Objective:
Points:
( 3; 5)
MA 7.G.4
1
13.
Answer:
Objective:
Points:
D
MA 7.G.7
1
3.
Answer:
Objective:
Points:
MA 7.G.4
1
14.
Answer:
Objective:
Points:
O 3 and O4
MA 7.G.3
1
4.
Answer:
Objective:
Points:
50
MA 7.G.1
1
15.
Answer:
Objective:
Points:
42 ; 138 ; 42 ; 48
MA 7.G.3
1
5.
Answer:
Objective:
Points:
70
MA 7.G.1
1
16.
Answer:
Objective:
Points:
MA 7.G.4
1
6.
Answer:
Objective:
Points:
MA 7.G.6
1
17.
Answer:
Objective:
Points:
MA 7.G.6
1
7.
Answer:
Objective:
Points:
C
MA 7.G.4
1
18.
Answer:
Objective:
Points:
B
MA 7.G.1
1
8.
Answer:
Objective:
Points:
C
MA 7.G.7
1
19.
Answer:
Objective:
Points:
50
MA 7.G.3
1
9.
Answer:
Objective:
Points:
70
MA 7.G.1
1
20.
Answer:
Objective:
Points:
C
MA 7.G.4
1
10.
Answer:
Objective:
Points:
GH
MA 7.G.2
1
11.
Answer:
Objective:
Points:
C
MA 7.G.6
1