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RCSD Geometry Local MATHEMATICS CURRICULUM Lesson 1 U7 GEOMETRY Name:_______________________ Period:________ Date:____________ Lesson 1: Complementary, Supplementary and Vertical Angles Learning Target: I can identify the vertical, supplementary and complementary angles I can apply the knowledge of supplementary complementary and vertical angles to find the missing angle Let’s complete the definitions Draw each pair of angles here Complementary angles add Angle 1 and 2 are complementary angles. Angle 1 measures 60°. Find the measure of angle 2. Supplementary angles add Angles 1 and 2 are supplementary angles. Angle 1 measures 110°. Find the measure of angle 2. Vertical Angles are Angles 1 and 3 are vertical angles. Angle 1 is 38°. What is the measure of angle 3 ? ________ What is the measure of angle 2 ? _________ Guided Practice Example 1 What is the relationship between ∠1 and ∠2 ? They are _____________________________ What is the measure of ∠2 ? ____________ 2 1 45° U7 Lesson 1 RCSD Geometry Local MATHEMATICS CURRICULUM GEOMETRY Name:_______________________ Example 2 Period:________ Date:____________ What is the relationship between ∠1 and ∠2 ? They are _____________________________ What is the measure of ∠2 ? ____________ 2 65° 1 Example 3 What is the relationship between ∠1 and ∠3 ? 2 They are _____________________________ What is the measure of ∠1 ? ____________ 35° 1 3 What is the measure of ∠2 ? ____________ Example 4 What is the relationship between ∠1 and ∠2 ? They are _____________________________ What is the measure of ∠2 ? ____________ 2 1 50° Directions: Find all of the missing angles and write their measures in the appropriate place in the diagrams below. Lesson 1 RCSD Geometry Local MATHEMATICS CURRICULUM U7 GEOMETRY Name:_______________________ Directions: Period:________ Date:____________ Base your answers to the questions on the diagram shown below. D C E F B H A G 1. If mAGB = 35°, what is mBGD ? _________ 2. If mDGF = 82°, what is mFGH ? _________ 3. If mAGE = 135°, what is mEGH ? _________ Lesson 1 RCSD Geometry Local MATHEMATICS CURRICULUM U7 GEOMETRY Name:_______________________ Period:________ Date:____________ Lesson 1: Complementary, Supplementary and Vertical Angles Classwork Activity 1: Base your answers to the questions on the diagram shown below. D C E F B H A G 1. If mAGB = 25°, what is mBGD ? _________ 2. If mDGF = 62°, what is mFGH ? _________ 3. If mAGE = 120°, what is mEGH ? _________ 4. If mCGH = 115°, what is mAGC ? _________ Activity 2: Base your answers to questions 5-8 on the diagram shown to the right. 5. If m1 = 105°, then m3 = _____________. 6. 4 ____________ 7. 2 and ____________ are supplementary angles 1 4 2 3 8. 3 ____________ Activity 3: Base your answers to questions 9 - 12 on the diagram shown to the right. 1. If m1 = 125°, then m3 = _____________. 2. 3 ____________ 3. 1 and ____________ are supplementary angles 4. 2 ____________ 1 4 2 3 Lesson 1 RCSD Geometry Local MATHEMATICS CURRICULUM U7 GEOMETRY Name:_______________________ Activity 4: Name each of the following: B A C D E Period:________ Date:____________ a. A pair of complementary angles __________________ b. A pair supplementary angles_____________________ F c. A right angle ____________________________ d. A pair of vertical angles_______________________ e. An acute angle________________________________ f. An obtuse angle______________________________ g. A straight angle_____________________________ Activity 5. Determine the measure of the missing angle in each diagram. Activity Activity 6. Two complementary angles measure 3x and 2x + 15°. How many degrees are there in x? Activity 7. The complement of an angle is 29°. What is the measure of the angle? RCSD Geometry Local MATHEMATICS CURRICULUM Lesson 1 U7 GEOMETRY Name:_______________________ Period:________ Date:____________ Activity 8. If m∠DOE = 24° and m∠EOF = 21°, then what is the measure of ∠DOF? 47° 42° 50° 45° Activity 9. Name an angle complementary to ∠COD. Answer:_________________________ Activity 10. In the figure shown, m∠ AED = 97. Which statement is false? m∠AEB = 83 m∠BEC = 97 ∠AEB and m∠DEC are congruent angles. ∠BEC and m∠CED are vertical angles Activity 11. The complement of an angle is 29°. What is the measure of the angle? _______________ RCSD Geometry Local MATHEMATICS CURRICULUM Lesson 1 U7 GEOMETRY Name:_______________________ Period:________ Date:____________ Lesson 1: Complementary, Supplementary and Vertical Angles Homework RCSD Geometry Local MATHEMATICS CURRICULUM Lesson 1 U7 GEOMETRY Name:_______________________ Period:________ Date:____________