Geometry 2nd semester exam review
Chapter 6 Review:
1) In rhombus MATH, mHAT = 37°. Find mMHT.
2) Find the sum of the measures of the interior angles of
a pentagon.
12) Find the value of x.
3) Find the measure of one of the exterior angles of a
regular decagon.
4) Find the sum of the measures of the exterior angles
of a dodecagon.
Chapter 7 Review:
5) If LMNO is a parallelogram, mO= 2x and mN =
84, find the value of x.
ST  28 feet, and PT  12 feet. Find PR.
13) In the figure shown, QR || ST , QR  7 feet,
6) In the parallelogram, find the value of AD.
14) Find the value of x.
7) Find the value of x in square RSQT if
m R  5x  5 .
2 x7

5
12
15) These two triangles are similar. Find y.
8) In trapezoid KLMN, ML NK
a) KL and NM are ____
b) LM and NK are ____
c) MK and NL are ____
9) For trapezoid TRAP, find mP .
16) Which postulate of theorem can be used to show
that the triangles below are similar?
17) Find the perimeter of ∆ABC, if ∆ABC~∆DEF.
10) Which statement can be used to show that
quadrilateral XYZW is a parallelogram?
A) XW  WZ and XY  YZ
B) XZ  YW
C) XY  WZ and XW  YZ
18) Find VT if ∆PRS ~∆UWT and QS and VT are
D) XN  YN and WN  ZN
medians.
11) ABCD is a rectangle. If AC  x  3 and
BD  4x 12 . Find the value of x.
Chapter 8 Review:
30) Find the area of a regular hexagon with a side 8feet
long and apothem of 6.9 ft.
19) Solve for x.
31) Find the area of an equilateral triangle with side 16.
32) Find the area of a rectangle with width of 8 m and
length of 14 m.
20) In ∆ABC, C is a right angle and the mB  45
If AC = 43 feet, find AB.
33) Find the area of a circle whose diameter is 8 cm.
34) Find the area of a square with sides of 12 cm.
sin A 
cos A 
21)
tan A 
sin B 
35) Find the area of the
shaded sector(s).
22) When the angle of elevation of the sun is 18°, a tree
casts a 36 foot shadow. How tall is the tree, to the
nearest tenth of a foot?
36) If the area of a triangle is 25 cm² and the height is
10 cm, what is the length of the base?
23) Find cos 85°.
37) Find the perimeter of the shape below:
24) If sin A  0.6785 , what is the measure of the
angle to the nearest degree?
25) A slide 10 m long makes an angle of 28° with the
ground. How high above the ground is the top of the
slide?
38) Find the area of the shaded region.
26) One leg of a right triangle is 20 m and the
hypotenuse is 52 m. How long is the other leg?
Chapter 12 Review:
27) Solve for a and b.
39) Find the lateral area of the prism.
28) Find the geometric mean of 12 and 72.
40) Find the surface area of the
Chapter 11 Review:
square pyramid.
29) Find the area of the trapezoid.
11
m
12 what is the
41) If a sphere has a diameter of 8 inches,
m
12
volume?
m
42) Find the volume of the cylinder.
15 cm
51) A line which intersects a circle at exactly two points is
called a _________________.
52) A minor arc measures ____________
6 cm
T
53) Identify two chords.
S
W
43) Find the volume of the cone.
V
7 in
R
U
54) Find the value of x.
10
44) Find the volumei of the prism.
5 yd
4 yd
55) Write the standard equation of a circle with center
at
(4, 5) and a radius of 4 3 .
7 yd
45) Find the surface area of a sphere with a radius of 2
meters.
56) Find x. Assume that segments that appear to be
tangent are tangent.
Chapter 10 Review:
46) Find the diameter of the circle and the exact
circumference of the circle and the area.
57) Find the exact circumference of a circle w/ radius 7
cm.
58) Find x. Assume the segment that appears to be
tangent is tangent.
47) Find x.
59) Find x. Assume that segments that appear to be
tangent are tangent.
48) Find x.
60) Find the value of x.
49) The center of a circle lies on _____.
50) A line which intersects a circle at exactly one point is
called a ________________.