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Geometry Practice Test - Unit 5
Polygons
☺Name: ___________________☺
Date: ___________ Pd: ____
Determine which of the following figures is a polygon.
a) ___________
b) ____________
c) ____________
d) ____________
Identify the polygon. Determine if the polygon is concave or convex. State if the polygon is
equiangular, equilateral, regular or none of the above.
2)
3)
_______________
_______________
_______________
4)
_______________
_______________
_______________
_______________
_______________
_______________
5) Fill in the missing blanks in the polygon table.
Polygon Type
Number of Sides
Triangle
3
a)
b)
?________________
?________________
c)
5
?_______________
Hexagon
6
Heptagon
7
d)
Octagon
?________________
Nonagon
9
e)
10
?________________
Unit 5: Practice Test
Hendecagon
11
Dodecagon
12
n-gon
n
Polygons
Page 1 of 4
6) Decide if the statement is Always, Sometimes, or Never true.
a) A rhombus is a rectangle.
a) _______________
b) A rectangle is a square.
b) _______________
c) A trapezoid is a quadrilateral.
c) _______________
d) A kite is a parallelogram.
d) _______________
e) The sum of the interior angles of a square is 360°.
e) _______________
f) A kite has opposite sides parallel.
f) _______________
g) A rhombus has all sides congruent.
g) _______________
h) A triangle is convex.
h) _______________
7) Determine the sum of the measures of the interior angles for each polygon given.
a) Heptagon
b) Dodecagon
c) Pentagon
a) ______________
b) ______________
c) ______________
Calculate the measure of each INTERIOR, CENTRAL, and EXTERIOR angle for each regular
polygon.
8) Hexagon
8) _______________
_______________
_______________
9) Decagon
9) _______________
_______________
_______________
Identify the value of x and y in each quadrilateral.
10)
15x - 23
y
10) x = ___________
3
y = ___________
2(5x + 1)
3y
11)
11) x = ___________
y = ___________
2x
y + 16
Unit 5: Practice Test
Polygons
Page 2 of 4
Determine the value of x that will make the polygon a parallelogram.
12)
12) x = _________
2x°
(x + 3)°
13)
R
S
13) x = _________
1
PS     4x  24 
2
SR  5 2x  4 
P
Construct the polygon listed below. Be sure to mark each polygon appropriately.
14) Concave, Quadrilateral
15) Convex, Regular, Octagon
Determine the length, m, of the midsegment of the trapezoid below.
16)
26
16) ______________
m
12
Unit 5: Practice Test
Polygons
Page 3 of 4
Show that the polygon below is a parallelogram by using the slope and distance formula.
17)
5
B
4
A
3
2
1
-4
C
-2
D
2
4
-1
-2
17) mAB =________
mDC =________
Slope of AB = __________
Slope of DC = __________
Unit 5: Practice Test
Polygons
Page 4 of 4
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