Download review sheet # 5: angles of polygons

Review Sheet # 5
NAME_______________________________________DATE_______________PER._______
REVIEW SHEET # 5: ANGLES OF POLYGONS
PART 1. IMPORTANT GEOMETRIC TERMS
Draw a picture that best represents each of the following terms.
1. Triangle
2. Scalene Triangle
3. Isosceles Triangle
4. Equilateral Triangle
5. Acute Triangle
6. Obtuse Triangle
7. Right Triangle
8. Equiangular Triangle
9. Polygon
PART 2. TRIANGLE BASICS
Decide if the following lengths can be sides of a triangle. If yes, classify the triangles by
SIDES.
10.
YES
or
NO
8, 10, 20
Classification:_________________________
11.
YES
or
NO
10, 11, 14
Classification:_________________________
12.
YES
or
NO
Classification:_________________________
10, 10, 10
Review Sheet # 5 Pg. 2
The measures of two angles of a triangle are given. Find the measure of the third angle,
then classify the triangle by ANGLES.
13. Third Angle = ____________
57, 33
Classification:_________________________
14. Third Angle = ____________
36, 52
Classification:_________________________
15. Third Angle = ____________
50, 50
Classification:_________________________
Choose the best answer for each of the following.
______16. Which of the following CANNOT be the length of the third side?
A.
B.
C.
D.
3
4
5
6
7
4
______17. Which of the following CANNOT be the length of the third side.
A.
B.
C.
D.
3
4
5
6
5
PART 3. ANGLES OF TRIANGLES
Find the specified value(s).
18. x = __________
2
x
21
19. y = __________
100
y
160
Review Sheet # 5 Pg. 3
E
20. x = __________
m  E = __________
2x
x F
D x
6
21. x = __________
B
m  C = _________
m  ABC = __________
A
x
80
(2x – 4)
C
Answer each of the following.
22. Angles:
In ABC, AB = 6, BC = 8, and AC = 12. List the angles of
ABC in order from largest to smallest.
23. Sides:
In XYZ, mX = 103, mY = 41, and mZ = 36. List the
sides of XYZ in order from shortest to longest.
PART 4. POLYGONS AND THEIR ANGLES
Classify each of the following polygons, then determine if it is convex or concave.
24.
25.
Classification:____________________
CONVEX
or
CONCAVE?
Classification:____________________
CONVEX
or
CONCAVE?
Find the following.
Review Sheet # 5 Pg. 4
_______________26.
Find the sum of the measures of the interior angles of a decagon.
_______________27.
Find the sum of the measures of the interior angles of an
undecagon.
_______________28.
Find the measure of one interior angle of a regular undecagon.
_______________29.
Find the measure of one interior angle of a regular polygon with 15
sides.
_______________30.
Find the number of sides of a regular polygon, if each interior angle
has a measure of 162
_______________31.
The sum of the measures of the interior angles of a polygon is 900.
Find the number of sides of the polygon.
Review Sheet #5 Pg. 5
_______________32.
Find the sum of the exterior angles of a 32-gon.
_______________33.
Find the measure of one exterior angle of a regular polygon with 14
sides.
_______________34.
Find the number of sides of a regular polygon if each exterior angle
has a measure of 22.5.
PART 5. REVIEW
For each of the following pairs of angles, tell what type of pair they are, and tell whether
each pair is congruent or supplementary.
1 2
4 3
6 5
8 7
ANGLE PAIR
35. 1 and 6
36. 2 and 7
37. 5 and 3
38. 4 and 8
39. 1 and 7
TYPE
 or SUPPLEMENTS?
Review Sheet #5 Pg. 6
40. x = ____________
Find the value of ‘x’:
(7x – 3)
(3x + 21)
41. AB = ____________
If A(2, 3) and B(-4, -6), find AB.
42. (______, ______)
Find the midpoint of AB described in #41.
PART 6. TAKS
Choose the best answer for each of the following. Clearly circle your answers. Work
must be shown in order to receive credit.
43. What are the x-intercepts of the
44. The area of a rectangle is given by the
function f(x) = x² +3x -4?
equation x(x + 2) = 440, where x is the
width of the rectangle. Find the length.
A. 3, 4
B. -4, 1
C. 4, -1
x
D. 3, -1
x+2
Record your answer and fill in the
bubbles on the grid below. Be sure to
use the correct place value.
.
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
45. What is the domain of the following
mapping diagram?
Review Sheet #5 Pg. 7
-2
-1
0
0
1
1
4
2
A.
B.
C.
D.
{x:
{y:
{y:
{x:
x = -2, -1, 0, 1, 2}
y = -2, -1, 0, 1, 2}
y = 0, 1, 4}
x = 0, 1, 4}
147.27°
1620°
20
D
A
16
1440°
Yes,
Scalene
69
Hexagon,
concave
90°, right
S. S. Ext.,
Supp.
80
28/
52°/
100°
 B,  A,  C
Alt. Ext.,
Congruent
Quadrilateral,
convex
10.82
YX, XZ, YZ
(-1, -1.5)
360°
7
6
92°, obtuse
B
156°
25.71°
Corresponding,
Congruent
No
A
22
S. S. Int.,
Supp.
Yes,
Equilateral
45/
90°
80°, acute
Corresponding,
Congruent
60°
120°
80°
40°