Download Chapter 10 Review KEY

Geo G
Chapter 10 Review
1. Classify the polygon for the given number of sides:
a. 3 ____________________
f. 8 ____________________
b. 4 ____________________
g. 9 ____________________
c. 5 ____________________
h. 10 ____________________
d. 6 ____________________
i. 31 ____________________
e. 7 ____________________
C
2. Given polygon CENTRAL.
a) Name the polygon in 2 other ways _________________
L
E
__________________
T
b) Classify (name) the polygon by number of sides _____________
N
A
c) Convex or concave? _______________
R
S
P
3. Name each part of SPRINGBK.
a) two consecutive vertices _____________________
K
R
B
I
b) a diagonal __________
c) all nonconsecutive sides of BK.
_____________________________________________
d) three consecutive sides
G
N
e) four consecutive vertices ______________________
4. For each polygon, a) tell the name, b) whether it is convex or concave, and c) whether it appears to be
regular or not regular.
a)
b)
c)
d)
e)
a)____________
a)___________
a)____________
a)__________
a)__________
b)____________
b)___________
b)____________
b)__________
b)__________
c)____________
c)___________
c)___________
c)___________
c)___________
5. Find the sum of the interior and the sum of the exterior angles for the following polygons:
a)
pentagon
b) heptagon
c) nonagon
d) 18-gon
Se = ____________
Se = ____________
Se = ____________
Se = ____________
Si = _____________
Si = _____________
Si = _____________
Si = _____________
6. If the sum of the interior angles of a polygon
is 3960°, how many sides does the polygon have?
7. If the sum of the interior angles of a polygon
is 3060°, how many sides does the polygon have?
8. Find the measure of each interior and each
exterior angle of a regular pentagon.
9. Find the measure of each interior and each
exterior angle of a regular octagon.
10. A regular polygon has an interior angle measure
of 144°. How many sides does it have?
11. A regular polygon has an exterior angle
measure of 30°. How many sides does it have?
12. How many diagonals are in a nonagon?
13. Find the number of diagonals in a polygon
having 15 sides.
14. If a polygon has 104 diagonals, how many sides does it have? (BONUS)
15) Find the area of each polygon.
a)
b)
8ft
12 ft
8in
5in
14in
16) Find the area of a triangle if the height is
53 and the base is 44.
18) Find the measure of the base of a triangle if
if the area is 216 and the height is 24.
c)
d)
4cm
7m
12cm
6cm
5.4m
17) Find the area of a trapezoid if the bases are 18 and
24 and the height is 12.
19) Find the measure of the height of a trapezoid if
the area is 368 and the bases are 20 and 26.
20) Find the area of the regular polygon.
a)
b)
c)
8 3
8
14
21) Find the area of the shaded region.
a)
b)
c)
5
18
11 2
5
6
d)
e)
7
12
13
24
6
10
6
.
22) Find the area of a regular heptagon with
an apothem of 2.5 inches and a side length
of 4 inches
23) The area of a regular nonagon with an
perimeter 45cm is 180 cm2. Find the length
of each side and the length of the apothem.