1.5 describe angle pair relationships
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This document defines and provides examples of complementary, supplementary, and adjacent angles. It begins by defining adjacent angles as two angles that share a common vertex and side. Complementary angles are defined as two angles whose measures sum to 90 degrees. Supplementary angles are defined as two angles whose measures sum to 180 degrees. The document provides visual examples and checkpoint questions to test understanding. It also gives guided examples of using angle relationships to find missing angle measures. Students are assigned related homework problems to practice these concepts.
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This document contains 10 problems about relationships between angles including complementary, supplementary, and ratio relationships. It asks the reader to find missing angle measures based on information provided about other angles. For each problem it provides space for the answer but no worked solutions are shown. Overall it focuses on developing understanding of complementary, supplementary, and ratio relationships between angles.
1.5 notes
This document defines and provides examples of several angle relationships:
Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees. Adjacent angles share a vertex and side. A linear pair are adjacent angles whose non-shared sides form opposite rays. Vertical angles are pairs of non-adjacent angles formed by two intersecting lines, and the vertical angles have equal measures. The document assigns homework problems involving these angle relationships.
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This document defines and provides examples of several angle relationships:
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- 1. COMPLEMENTARY & SUPPLEMENTARY ANGLES 1.5 Describing angle pair relationships: Mr. Saucedo Milby High School
- 2. OBJECTIVE We will use angle relationships to find angle measures.
- 3. VOCABULARY ADJACENT ANGLES Definition Two angles that share a common vertex and common side. Visual adjacent non adjacent
- 4. VOCABULARY: COMPLEMENTARY ANGLES Definition Two angles that add up to 90 degrees. Visual
- 5. VOCABULARY SUPPLEENTARY ANGLES Definition Two angles that add up to 180 degrees. Visual
- 6. CHECKPOINT TRUE OR FALSE? Angle ABC and CBD are complementary. Angle KHJ and IHJ are supplementary Angle CBD and angle KHJ are adjacent.
- 7. CHECKPOINT True or false? <ABC and <DBC are complementary?
- 9. CHECKPOINT What is the relationship between angles 1 and 2?
- 10. GUIDED EXAMPLES Given that angle a is a complement of angle b and that m<a = 68, find m<b.
- 11. GUIDED EXAMPLES Given that m<2 is a supplement of <2, and m<2 = 56, find m<1.
- 12. GUIDED EXAMPLES Given that the two angles below are complementary; and that m<FED=4x + 8, and m<CBA = x + 2, find the measure of each angle.
- 13. BIG QUESTIONS How do we identify (or prove) that two angles are complementary? How do we identify (or prove) that two angles are supplementary? Adjacent angles share a _____ and a ________.
- 14. INDEPENDENT WORK TEXTBOOK, Page 38 PROBLEMS: 1, 4, 5, 6, 8, 10, 12, 14, 16, 18, 34, 35, 36, 37, 38.
- 15. HOMEWORK WORKBOOK, Page13 PROBLEMS: 1, 3, 5, 7, 17, 22, 23, 24, 25, 29 Pre-AP: Add problem #38.