GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (A) use angle measurements to classify pairs of angles as complementary or supplementary.
Problem #1: Give the supplement and complement if they exist for each of the following angles. Supplement Complement 63 ___________ _____________
Supplement 112 ____________
Complement _____________
Problem #2: Decide if the following pairs of angles are supplementary, complementary or neither. Write your choice in the blank. 47 and 53 ________________
112 and 68 _______________
92 and 98 ________________
45 and 45 _______________
If you chose “neither” for any of the above pairs of angles, rename one of the angle’s measurement so the pair will be supplementary or complementary. I renamed ___________ and ________ to become _________ and _________ and they will be a _________________ pair.
1. What mathematical concepts and vocabulary do I need to know to be able to work these problems?
2. Will the Grade 7 Mathematics Formula Chart be helpful on these problems? Why or why not?
3. Will a picture or diagram be helpful on these problems? If so, how?
4. What problem-solving strategy or strategies will I use to help solve these problems?
5. Extension (7.6B): If BAC is one of the angles formed when diagonal AC is drawn in rectangle ABCD and BAC has a measure of 37 , what would be the measure of angle CAD, the other angle created drawing the diagonal?
TEKSING TOWARD TAKS © 2006
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GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (A) use angle measurements to classify pairs of angles as complementary or supplementary.
Problem #1: Give the supplement and complement if they exist for each of the following angles. Supplement
63
Complement
___________ _____________ Supplement
112 ____________
Complement
_____________
Problem #2: Decide if the following pairs of angles are supplementary, complementary or neither. Write your choice in the blank. 47 and 53 __________
92 and 98 __________
112 and 68 _________
45 and 45
_________
If you chose “neither” for any of the above pairs of angles, rename one of the angle’s measurement so the pair will be supplementary or complementary. I renamed __________ and ________ to become _________ and _________ and they will be a_________________ pair. TEKSING TOWARD TAKS © 2006
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GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (A) use angle measurements to classify pairs of angles as complementary or supplementary.
If A and C are complementary angles and the measure of A is 37, what is the measure of C? A
143
B
63
C
53
D
43
If the measure of ECD is 57.4, what is the measure of its complement, DCF?
E
D
C
If G and H are supplementary angles and the measure of G is 112, what is the measure of H? A
78
B
68
C
58
D
G does not have a supplement
If the measure of ABC is 115.5, what is the measure of its supplement, CBD?
A
57.4
B
42.6
C
33.6
D
32.6
F
PQS measures twice as much as its supplement, SQR. What are the measures of the two angles? S
C
2x P A
B
x
Q
D
A
m PQS = 110and m SQR = 55
A
65.5
B
m PQS = 100and m SQR = 50
B
64.5
C
m PQS = 120and m SQR = 60
C
55.5
D
m PQS = 135and m SQR = 45
D
54.5
TEKSING TOWARD TAKS © 2006
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