Download Review Sheet 8.1

Geometry: Review 8.1-8.3
Name_______________________________________________
Find the sum of the measures of the interior angles of the indicated convex polygon.
1. Hexagon
2. 11-gon
3. 20-gon
The sum of the measures of the interior angles of a convex polygon is given. Classify the polygon by the
number of sides.
4. 180°
Find the value of x.
9.
5. 900°
6. 2520°
7. 5040°
10.
8. 8640°
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12. The measures of the exterior angles of a convex quadrilateral are 90°, 10x°, 5x°, and 45°. What is the
measure of the largest exterior angle?
Find the measures of an interior angle and an exterior angle of the indicated polygon.
13. Regular triangle
14. Regular 16-gon
15. Regular 60-gon
In Exercises 16-17, find the value of n for each regular n-gon described.
16. Each interior angle of the regular n-gon has a measure of 140°.
17. Each exterior angle of the regular n-gon has a measure of 45°.
18. Storage Shed The side view of a storage shed is shown below. Find the value of x.
Then determine the measure of each angle.
Find the measure of the indicated angle in the parallelogram.
19. Find mB.
20. Find mM.
Find the value of each variable in the parallelogram.
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24. In  EFGH, mG is 25 degrees less than mH. Sketch  EFGH. Find the measure of each interior angle.
Then label each angle with its measure.
Find the indicated measure in ABCD.
25. mAEB
26. mBEC
27. mBAE
28. mAED
Use the diagram of MNOP. Points Q,R,S, and T are midpoints of
NX , OX , and PX . Find the indicated measure.
29. MQ
30. mNMQ
31. mMNP
32. mNOP
33. In parallelogram RSTU, the ratio of RS to ST is 5 : 3. Find RS if the perimeter of RSTU is 64.
How can you show that the quadrilateral is a parallelogram? Write a JUSTIFICATION.
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For what value of x is the quadrilateral a parallelogram?
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The vertices of quadrilateral ABCD are given. Draw ABCD in a coordinate plane and show that it is a
parallelogram. WRITE YOUR JUSTIFICATION.
44. A(–2, –3), B(0, 5), C(6, 5), D(4, –3)
Describe how to prove that ABCD is a parallelogram (HINT: the two congruent angles have a special
relationship that tell you something about your picture…if you need help….extend lines AB and CD).
45.