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?
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