Download Unit Three Study Guide Name: Measure the angle and then classify

Unit Three Study Guide
Name: __________________________
1. Measure the angle and then classify as acute, obtuse or right.
2. Measure the angle and then classify as acute, obtuse or right.
3. Measure the angle and then classify as acute, obtuse or right.
4. Measure the angle and then classify as acute, obtuse or right.
5. Pentagon ABCDE is congruent to pentagon TUVWX.
B
C
V
D
U
W
A
E
Which statement must be true?
T
X
A. Angle D is congruent to angle T.
B. Line segment AB is congruent to line segment VW.
C. Line segment CD is congruent to line segment WX.
D. Angle B is congruent to angle U.
6. Gavin’s backyard is 20 yards wide and 50 yards long, as shown.
20 yards
50 yards
He wants to divide his backyard into two congruent rectangles, one for his dog and the other
for a garden. Determine the length and width of the two new congruent rectangles. Explain how
you know the two new rectangles are congruent. (2 points)
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7. A square is shown.
What is the sum of the interior angles of this figure?
A. 90°
B. 180°
C. 270°
D.360°
8. A triangle is shown.
What is the sum of the interior angles of this figure?
A. 90°
B. 180°
C. 270°
D.360°
9. Below is triangle RST.
R
T
55°
55°
S
What is the measure of angle R in triangle RST?
A. 55°
B. 90°
C. 250°
D. 70°
10. Below is triangle XYZ.
X
56°
Y
Z
What is the measure of angle Z in triangle ZYX?
A. 90°
B. 34°
C. 56°
D. 214°
11. Kinsey and Ashley were given a quadrilateral. They know that three of the angles measure
87°, 98°, and 135°. Explain how they can find the measure of the fourth angle. Find the
exact measure of the fourth angle. (2 points)
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12. Ryan and Michael were given a quadrilateral. They know that three of the angles measure
67°, 118°, and 109°. Explain how they can find the measure of the fourth angle. Find the
exact measure of the fourth angle. (2 points)
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13. Two rectangular windows on the front of the store are congruent. One window measures
16 feet wide and 10 feet tall.
Which could be the measurements of the other window?
A. 8 feet wide and 5 feet tall
B. 16 feet wide and 10 feet tall
C. 16 feet wide and 16 feet tall
D. 10 feet wide and 10 feet tall
14. Which triangle is scalene?
A.
B.
3 cm
6 cm
3 cm
C.
3 cm
7 cm
5 cm
D.
8 cm
7 cm
7 cm
4 cm
4 cm
4 cm
15. Look at the triangle. Classify the triangle and then justify why it is that type of triangle.
(2 points)
57°
70°
43°
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Use the street map to answer questions 16-18.
16. Matt lives on 1st street. His friend Kyle lives on a street that is parallel to 1st Street.
On which street could Kyle live?
A. 3rd Street
B. Elm Street
C. 2nd Street
D. Maple Street
17. Sophia also lives on 1st Street. Her friend Addison lives on a street that is perpendicular to 1st
street. On which street could Addison live?
A. 3rd Street
B. Elm Street
C. 2nd Street
D. Maple Street
18. Name a pair of parallel lines. _________________________________________
Use the figure to answer questions 19-21.
L
N
120°
M
J
K
19. What is one pair of adjacent angles?
A. <NMJ and <JMK
B. <KMJ and <LMN
C. <NMJ and <LMK
D. <KJM and <LNM
20. What is the measurement of <KMJ?
A. 60°
B. 180°
C. 120°
D. 110°
21. What is the measurement of LMK?
A. 60°
B. 180°
C. 120°
D. 110°
22. A parallelogram with two missing angles is shown. What is the measure of one of the
missing angles?
?
50°
A. 100°
B. 260°
50°
?
C. 130°
D. 55°
Use the figure to answer questions 23-25.
Q
S
114°
R
U
T
23. What is one pair of vertical angles?
E. <QRS and <SRT
F. <QRU and <SRT
G. <TRU and <SRT
H. <QRU and <URT
24. What is the measurement of TRU?
E. 66°
F. 180°
G. 114°
H. 67°
25. What is the measurement of QRU?
E. 66°
F. 180°
G. 114°
H. 67°
26. EFGH is a square. All the following statements are true except:
E
F
H
G
A. Line segment EF is parallel to line segment HG
B. All the angles are right angles
C. all the sides are congruent
D. The sum of the measures of the interior angles is 180°
27. Draw an acute angle. Use your protractor to give the measure of the acute angle.
28. Draw an obtuse angle. Use your protractor to give the measure of the obtuse angle.