Name: ______________________________
1ST SEMESTER EXAM PRACTICE TEST
(show work CLEARLY labeled by number on separate paper and staple to practice test)
1. Points C, D, and E are collinear. D is
between C and E. 𝐶𝐸 = 6𝑥, 𝐶𝐷 = 4𝑥 + 8
and 𝐷𝐸 = 27. Find CE.
A. CE = 17.5
B. CE = 78
C. CE = 105
D. CE = 57
2. 𝐾 is the midpoint of 𝐽𝐿. 𝐽𝐾 = 6𝑥 and 𝐾𝐿 =
3𝑥 + 3. Find 𝐽𝐿.
3. ⃗⃗⃗⃗⃗⃗
𝐵𝐷 bisects ∠𝐴𝐵𝐶. If 𝑚∠𝐴𝐵𝐷 = (7𝑥 − 1)° and
𝑚∠𝐷𝐵𝐶 = (4𝑥 + 8)°. Find 𝑚∠𝐴𝐵𝐷.
A. 𝑚∠𝐴𝐵𝐷 = 22°
B. 𝑚∠𝐴𝐵𝐷 = 3°
C. 𝑚∠𝐴𝐵𝐷 = 40°
D. 𝑚∠𝐴𝐵𝐷 = 20°
4. Find the coordinates of the midpoint of
𝐶𝑀 with endpoints C(1, -6) and M(7, 5).
1
A.
(4,- )
B.
C.
(8, -1)
(3, -1)
2
1
1
2
2
D. (4 , )
5. Find the length of 𝐴𝐵 with endpoints
A(-7, 4) and B(3, 8).
Round your answer to the nearest
hundredth.
6. If the coordinates of A are (1,1) and the
midpoint of 𝐴𝐵 is (-2, 0), then the
coordinates of B are _____?
A. (-0.5, 0.5)
B. (0.5, 0.5)
C. (-1, 0)
D. (-5, -1)
7. Which of the following counterexamples
shows that the conjecture is false?
x2 ≥ x
A.
B.
C.
D.
x = 0.5
x = -5
x=0
There is not a counterexample
because the statement is true.
8. A true conditional statement is given
below.
Given: If two angles form a linear pair,
then they are supplementary
Which of the following represents the
inverse and describes the truth value?
A. If two angles do not form a linear pair,
then they are not supplementary. –
True
B. If two angles do not form a linear pair,
then they are not supplementary. –
False
C. If two angles are supplementary, then
they form a linear pair. – True
D. If two angles are supplementary, then
they form a linear pair. – False
9. Which is the best description of the lines
12x+3y=3 and y=4x+1?
F.
The lines intersect.
G.
The lines are coinciding.
H.
The lines are parallel.
J.
The lines are perpendicular.
10. Which value for x satisfies the conditions
that prove 𝑚 ∥ 𝑛?
11. Which of the following is the equation of
the line that passes through point P and is
perpendicular to the line of the given
equation?
1
Given: P(3, 2), 𝑦 = 𝑥 + 1
14. Which of the side lengths below form an
obtuse triangle?
A.
4, 7, 8
B.
12, 14, 15
C.
9, 12, 16
D.
6, 8, 10
15. There are three square lots that are
adjacent to a lake in the shape of a right
triangle. The area of the largest lot is
28,900 ft2. The length of the smallest lot
is 80 ft. The owner of the middle sized lot
wants to put a fence around his property
that will keep his cattle in, but still let
them drink water from the lake.
4
1
A. 𝑦 = − 𝑥 + 1
4
B. 𝑦 = −4𝑥 + 1
C. 𝑦 = 4𝑥 + 9
D. 𝑦 = −4𝑥 + 9
12. What is the value of x in the figure below?
How many feet of fencing does he need to
buy?
A. 600 ft.
B. 28,900 ft.
C. 450 ft.
D. 150 ft.
13. Which is the length of ̅̅̅̅
𝑋𝑍?
16. Given: ∆ABC with 𝑚∠𝐴 = (7𝑥)°, 𝑚∠𝐵 =
(8𝑥 − 7)°, and 𝑚∠𝐶 = (2𝑥)°
What is the measure of angle A?
17. Given the triangle below, what is the
value of x?
A.
B.
C.
D.
78.1
36.4
70.8
38.6
in.
in.
in.
in.
18. Which of the following triangle congruence
postulate could be used to prove
ΔQRS ≅ ΔQRT?
A.
AAS
B.
SSS
C.
ASA
D.
SAS
Use the figure below to answer #23.
19. Triangle JKL is similar to triangle JMN. What is
23. Name the following.
3
1
5
the area of triangle JMN?
The following picture is to be used to answer
questions #27-29
2
4
7 8
6
Alternate exterior angles Alternate interior angles –
Corresponding angles –
Same side interior angles –
Vertical angles –
24. What is the slope of the line through (-3, 8) and
(5, 0)?
25. What is the slope of the line through (4, -1) and
(5, -2)?
26. Find the value of the “?”
20. Which of the following is the value of x?
A. 37
B. 32
C. 14
D. 2
27.
21. Which of the following is the value of y?
A. 54
B. 90
C. 27
D. 117
22. What is the best classification for the
triangle?
A. Equilateral
B. Right Isosceles
C. Obtuse Isosceles
D. Acute Isosceles
28. Find
m<CBY.
29. Find
m <STU
30. Complete the following patterns.
1, 3, 5, 7, ____, _____
1, 2, 4, 7, 11, ____, _____
,
,
,…
Use the following diagram for #31-33
31. Find the measure of <ZWY.
32. Find the supplement of <VWX.
33. Find the complement of <VWZ.
Solve for the variable.
34.
35.