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Practice Activities
Name
Chapter 9, Lessons 11 – 13
List all possible quadrilaterals for each description.
1. exactly one pair of parallel sides
2. four congruent sides
trapezoid
rhombus, square
3. two pairs of congruent angles
4. two pairs of parallel sides
parallelogram, rectangle, rhombus, square parallelogram, rectangle, rhombus, square
5. two pairs of adjacent congruent sides
6. at least three right angles
rhombus, square, kite
rectangle, square
List the missing lengths and angle measures for each figure.
7. rectangle ABCD
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra.
B
1
1 2 in.
C
1 ​in.
____
3​ __
m​AB ​ 5 2
1 ​in.
____
1​ __
m​AD ​ 5 2
mABC 5 90°
mBCD 5 90°
mCDA 5 90°
mDBA 5 90°
1
3 2 in.
D
A
8. parallelogram GHJK
____
9.3 m
H
J
3.7 m
8207-W_G7_C09_L11-13_PA01
G
75°
K
9. rhombus PQRS
P
98°
8207-W_G7_C09_L11-13_PA02
S
17 yd
m​JK ​ 5 3.7 m
mGHJ 5 105°
mHJK 5 75°
____
Q
R
___
m​GK ​ 5 9.3 m
____
mJKG 5 105°
___
m​PQ ​ 5 17 yd
m​QR ​ 5 17 yd
m​PS ​ 5 17 yd
mQPS 5 82°
mPSR 5 98°
mSRQ 5 82°
Tell whether each statement is true or false. Explain your answer.
8207-W_G7_C09_L11-13_PA03
10. All rhombuses are squares.
11. All rectangles are rhombuses.
False; All squares are rhombuses, but
False; Rhombuses have four congruent
not all rhombuses have four right angles.
sides, rectangles do not.
12. A rectangle is a parallelogram.
13. A trapezoid can have two right angles.
True; As with all parallelograms, a
True; A trapezoid can have as many as
rectangle has two pairs of parallel sides.
two right angles, but the right angles
must be adjacent.
Course I, Chapter 9
1
(continued)
Practice Activities
Name
Chapter 9, Lessons 11 – 13
Use the circle at the right to answer exercises 14–24.
14. Name the center. A
15. Name
16. Name
17. Name
G
____ ___
​ , EF ​
​ two diameters. BC ​
____ ___ ___ ___ ___ ___
​ , AC ​
​ , AD ​
​ , AE ​
​ , AF ​
​ , AH ​
​ six radii. AB ​
____ ___ ___ ___
​ , DE ​
​ , EF ​
​ , FJ ​
​ four chords. BC ​
D
F
B
18. Name two secants. BC, EF
C
A
H
19. Name a tangent. FG
E
J
20. Name two inscribed angles. DEF, EFJ
21. Name four central angles. Check students’ answers.
22. Name three minor arcs. Check students’ answers.
8207-W_G7_C09_L11-13_PA04
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra.
23. Name three major arcs. Check students’ answers.
24. Name four semicircles. BJC, BFC, FDE, FBE. Note: Sample answers given.
Use circle Q at the right to answer exercises 25–34.
25. mRS 125°
26. mVR 55°
27. mRVU 136°
28. mVUT 125°
29. mVQR 55°
30. m/VTR 27.5°
31. m/RSV 27.5°
32. m/UQV 81°
33. Name four pairs of supplementary central angles.
V
R
U
44° 125°
Q
T
S
Answers may vary, but should include some combination of: /SQT and /TQV;
8207-W_G7_C09_L11-13_PA05
/SQU and /UQV; /VQR and /RQS; /TQU and /UQR.
___
____
34. Are SR ​
​ and TV ​
​ parallel?
Yes. /SQR and /TQV are vertical angles, so SQR and TQV are congruent, using
SAS. Since /TRS and /VTR are alternate interior angles, SR and TV must be parallel.
Use the figure at the right to answer exercises 35–37.
35. Describe the solid circle in relation to the triangle.
The solid circle circumscribes the triangle.
36. Describe the solid circle in relation to the square.
The solid circle is inscribed in the square.
37. Describe the dotted circle in relation to the solid circle.
The two circles are concentric.
Course I, Chapter 9
(continued)
Practice Activities
Name
Chapter 9, Lessons 11 – 13
In order to make a circle graph, find the degrees in the sector for each category.
On a separate sheet of paper, make a circle graph for each table.
Teachers’ Primary News Sources
38.
Source
Percent (%)
Multiply
Degrees in Sector
a. Newspaper
15%
0.15 • 360
54°
b. Radio
5%
0.05 • 360
18°
c. Television
40%
0.40 • 360
144°
d. Website
30%
0.30 • 360
108°
e. Blog
10%
0.10 • 360
36°
Totals
100%
360°
Percent of Immigrants by U.S. Region (2005)
39.
Source
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra.
Check students’ graphs.
Percent (%)
Multiply
a. Northeast
24%
0.24 • 360
86.4°
b. Southeast
17%
0.17 • 360
61.2°
c. Midwest
11%
0.11 • 360
39.6°
d. Southwest
16%
0.16 • 360
57.6°
e. West
32%
0.32 • 360
115.2°
Totals
100%
Check students’ graphs.
Degrees in Sector
360°
Solve. Show your work.
40. /ZWX in rhombus WXYZ measures 17°.
Name the other angles in the rhombus and
tell the measure of each angle.
360 2 (17 1 17) 5 326; 326 4 2 5 163
The other angles are /WXY, /XYZ,
and /YZW. Their measures are 163°,
17°, and 163°, respectively.
____
42. BD ​
​ is a diameter of circle E. /FED is a
central angle and measures 63°. What kind
of arc is BDF? What is its measure?
180 1 63 5 243
BDF is a major arc and measures 243°.
41. Cecilia drew a square that measures 6 in. on
each side. She then drew a circle inside that
square. The circle had a 3 in. radius. What is
the relation of the square to the circle?
Because the circle’s diameter matches
the sides of the square, the square
circumscribes the circle.
43. Of a theatre company’s $50,000 budget for
a show, $9500 goes to marketing. What
would be the measure of the central angle
for the marketing sector in a circle graph?
9500 4 50,000 5 19%; 0.19 • 360 5 68.4°
The angle for the marketing sector
would be 68.4°.
Course I, Chapter 9