Geometry B
Unit 5 Practice Test
Name
Date
60
Block
Directions: This test is written to cover Unit 5. Please answer each question to the best of your
ability. If multiple steps are required, it is expected that you will show those steps. If the
appropriate work is not shown, then points may be deducted.
1. Which of the figures below does NOT represent a polygon? Explain why. (2 pts)
A.
B.
C.
C – it is not made of straight
segments
For questions 2-3, use the figures A, B, and C below.
A.
B.
C.
2. Which of the figures above represents a regular convex polygon? Explain why. (2 pts)
C – all sides and angles are congruent
3. Which of the figures above represents an irregular concave polygon? Explain why. (2 pts)
A – diagonals can be drawn outside the figure
4. Determine if the figures have line symmetry. If so, draw ALL lines of symmetry.
a. 2 lines
b. no lines
(1 pt ea)
5. Determine if the figures have rotational symmetry. If so, give the angle of rotational symmetry
and the order of rotational symmetry. (1 pt ea)
a. no rotational symmetry
b. 72°, order 5
6. What is the sum of the measures the interior angles of a convex dodecagon? Show work to
support your answer. (2 pts)
(12  2)  180  1800
7. What is measure of each exterior angle of a regular octagon? Show work to support your
answer. (2 pts)
360  8  45
8. What is the measure of each interior angle of a regular 20-gon? Show work to support your
answer. (2 pts)
(20  2)  180  3240  20  162
9. Find the value of s in hexagon ABCDEF . Show work to support your answer. (2 pts)
8s  7s  5s  8s  7s  5s  720
40s  720
s  18
10. Find the value of n in the pentagon below. (2 pts)
n=
4n  3n  2n  n  5n  360
15n  360
n  24
11. Determine if there is enough information to state the following figures are parallelograms. If
there is not, write “not enough info”. If there is, write “yes” AND state the reason. (1 pt ea)
Y
One pair of sides par & congruent
Y
Diagonals bisect each other
N
no conditions are met
N
no conditions are met
12. Given parallelogram ABCD to the right, find the following and explain your reasoning. (1 pt ea)
mABC  79 ; BC  62.4 , BD  75
a. AD = 62.4
opp sides 
b. BE = 37.5
diagonals bisect each other
c. mCDA = 79°
opp ∠’s 
d. mDAB = 101°
consecutive ∠’s supplementary
For questions 13 – 14, determine if there is enough information to state the figures are
parallelograms. If there is not, write “not enough info”. If there is, explain your reasoning.
13. Given m  13 and n  27 . (2 pts)
14. Given x  25 and y  7 . (2 pts)
5(7)  10  25
2(7)  11  25
3(25)  1  76
4(25)  4  104
3(27)  18  63  mE
9(13)  117  mG
2(27)  9  63  mA
Yes, one angle (G) is sup to
both consecutive angles (A & E)
Yes – one pair of sides is congruent
(both 25) and parallel (since SSIA’s are
supp)
15. In rectangle ABCD, find the following and explain your reasoning.
CD = 18, CE  19.8 , mADB  27 (1 pt ea)
a. AB = 18
opp sides 
b. AE = 19.8
diagonals bisect each other
c. BD = 39.6
diagonals congruent
d. mABD =
63°
180-90-27
16. In rhombus WXYZ, find the following and explain your reasoning.
WX  7a  1, WZ  9a  6 , VZ  3a ,
mXVY   8n  18  , mXYZ   9n  1
7a  1  9a  6
8n  18  90
3.5  a
n9
(2 pts)
17. For each statement, write “A” if the statement is always true, “S” if the statement is sometimes
true, and “N” if the statement is never true. (½ pt ea)
a.
b.
c.
d.
e.
f.
A parallelogram is a quadrilateral.
A quadrilateral is a square.
A rectangle is a square.
A square is a rectangle.
A parallelogram is a rhombus.
A rhombus is a parallelogram.
A
S
S
A
S
A
For questions 18 – 21, circle one response. (1 pt ea)
18. Which of the following quadrilaterals have diagonals perpendicular?
a. parallelogram, rhombus, rectangle, square
b. rectangle, square, rhombus
c. rhombus, square,
d. rectangle, square
19. Which of the following quadrilaterals have congruent diagonals?
a. parallelogram, rhombus, rectangle, square
b. rhombus, square, rectangle
c. rectangle, square
d. rhombus, square
20. Which of the following quadrilaterals have diagonals bisect the opposite angles?
a. parallelogram, rhombus, rectangle, square
b. rectangle, rhombus, square
c. rhombus, square
d. rectangle, square
21. Which of the following quadrilaterals have diagonals bisect each other?
a. parallelogram, rhombus, rectangle, square
b. parallelogram, rhombus
c. parallelogram, rectangle
d. parallelogram, rhombus, square
22. Find the missing angles in each quadrilateral. (½ pt ea)
a. rectangle MNPQ
b. rhombus CDGH
m1 = 54°
m2 = 36°
m3 = 54°
m4 = 108°
m5 = 72°
m1 = 64°
m2 = 64°
m3 = 26°
m4 = 90°
m5 = 64°
23. Determine if quadrilateral ABCD with the following coordinates is a parallelogram, rectangle, or
rhombus, or square. You must prove your answer and explain your reasoning. (2 pts each)
A(–4, 3), B(1,5), C(2, –1), G(–3, –3)
y
a. Is it a parallelogram?
5
4  2 3  1
AC :
,
  1,1
2
2
1  3 5  3
BG :
,
  1,1
2
2
4
3
Yes – the diagonals bisect
each other
2
1
–5
–4
–3
–2
–1
–1
–2
b. Is it a rectangle?
–3
53
2
AB :

1  4
5
BC :
1  5
6

2 1
1
–4
–5
No – sides do not make
right angles
c. Is it a rhombus?
AC :
1  3
4 2


2  4
6
3
BG :
3  5
8 8


3  2
5 5
d. Is it a square?
No – since it is not a
rectangle nor a rhombus
No – the diagonals are not
perpendicular
1
2
3
4
5
x