WorksheetsGeometry Midterm Review
Total questions: 25
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
How many feet from the base of a house must a 39-foot ladder be placed so that the top of the ladder will reach a point on the house 36 feet from the ground?
a)
53 feet
b)
54 feet
c)
15 feet
d)
225 feet
2.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
3.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
4.
What is the sequence of transformations for the image given?
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
5.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
6.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
7.
The following is an example of which transformation ...
a)
R 90°
b)
r x-axis
c)
ry-axis
d)
R 180°
8.
Are these triangles congruent?
a)
Yes, by SAS
b)
Yes, by SSS
c)
No they are not congruent
d)
Not enough information to know for sure
9.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡VXW≅∡WCV
b)
∡XWV≅∡CVW
c)
∡XVW≅∡CWV
10.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
11.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
12.
An equilateral triangle has how many lines of symmetry?
a)
3
b)
1
c)
0
d)
4
13.
How many lines of symmetry in a square?
a)
4
b)
2
c)
1
d)
Infinite
14.
Decide if you are given enough information to prove that the quadrilateral is a parallelogram. One pair of opposite sides are congruent
a)
yes
b)
no
15.
PQ ≅ RS and PS ≅ RQ. Is PQRS a parallelogram?
a)
yes
b)
no
16.
Which statement below can be used to prove EFGH is a parellelogram?
a)
EF ≅ FG and GH ≅ HE
b)
EF ≅ EH and HG ≅ FG
c)
EF ≅ HG and EH ≅ FG
d)
EG ≅ FH and EH ≅ FG
17.
Find the value of U
a)
20
b)
33
c)
18
d)
48
18.
find the value of Z
a)
23
b)
5
c)
12
d)
53
19.
solve for Y
a)
20
b)
15
c)
60
d)
12
20.
a)
5.7
b)
6.9
c)
8.9
d)
9.8
21.
Find BD
a)
9.8
b)
6.9
c)
5.7
22.
In right triangle DEF, m<F = 90⁰. If sin D = 8/10, which function also equals 8/10?
a)
sin E
b)
tan D
c)
cos D
d)
cos E
23.
A 129.5m ladder is leaning against a wall. The angle the ladder makes with the ground is 32⁰. What is the height of the building?
a)
68.6
b)
109.8
c)
80.9
d)
244.4
24.
Bob places an 18 foot ladder 6 feet from the base of his house and leans it up against the side of his house. Find, to the nearest degree, the measure of the angle the bottom of the ladder makes with the ground.
a)
19
b)
18
c)
71
d)
70
25.
Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?
a)
60 feet
b)
20 feet
c)
180 feet
100 %
