Download Chapter 10 Review

Name:_______________________________
Period ______
Date _________________
Geometry Concepts
Chapter 10 REVIEW
1. What is the name of a polygon with 12 sides?
A. decagon
B. nonagon
C. dodecagon
D. heptagon
2. Classify the figure at the right.
A. concave decagon
B. convex decagon
C. regular concave decagon
D. regular convex decagon
3. Which of the following statements is NOT true for all convex polygons?
A. They are closed figures with straight edges.
B. The sum of the measures of the exterior angles is 360°.
C. The number of diagonals is the same as the number of edges.
D. The sum of the measures of the interior angles is 180(n-2) degrees.
4. Which of the following quadrilaterals is a regular polygon?
A. trapezoid
B. parallelogram
C. square
D. rectangle
5. The sum of the measures of the interior angles of a convex polygon is 1260. How many
sides does it have?
# of sides: __________
6. What is the sum of the measures of the interior angles of a convex heptagon?
Measure: __________
Name:_______________________________
Period ______
Date _________________
7. The measures of six interior angles of a regular convex heptagon are 95, 120, 80, 135,
155, and 170. Find the measure of the seventh interior angle.
Measure: ____________
8. What is the measure of one exterior angle of a convex regular octagon?
Measure: _____________
9. Find the area of polygon A shown at the right.
A. 15.5 units2
B. 16 units2
C. 16.5 units2
D. 17 units2
A
10. Find the area of polygon B shown at the right.
A. 12.5 units2
B. 12 units2
C. 13.5 units2
D. 13 units2
B
For Questions 11–12, find the perimeter and the area of each triangle or trapezoid.
Make sure that you include the correct units.
24 in.
11.
12.
17 m
8m
6 in.
4 in.
6 in.
16 in.
15 m
Perimeter:
____________
Perimeter:
____________
Area:
____________
Area:
____________
Name:_______________________________
Period ______
Date _________________
13. Find the perimeter and area of a regular hexagon at the right with an apothem 6.1
centimeters long and each side 7 centimeters long. Label the picture first.
Perimeter:
____________
Area:
____________
14. In the trapezoid at the right, find the shorter base if the longer base is 18 feet, the height
is 6 feet, and the area is 78 square feet. Label the picture first.
Shorter base: __________
15. Find the area of the regular pentagon at the right by calculating the apothem first.
10 m
Apothem: ___________
Area: __________
12 m
Bonus:
A landscaper has a octagonal plot of land that he wants to separate into a fenced area and a
small garden. Find the area of the fenced land using the picture below.
2.1 m
Area of octagon:
7.25 m
____________
3m
Area of trapezoid:
____________
Area to be fenced: ____________
3.6 m