©Evergreen Public Schools 2011 1 Explore how the measurements of two angles are related.

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Presentation transcript:

©Evergreen Public Schools Explore how the measurements of two angles are related.

©Evergreen Public Schools Learning Target I can identify pairs of angles and use these relationships to determine missing angle measures. Draw or describe the words you already know. Complementary Supplementary Adjacent Vertical

©Evergreen Public Schools Write an equation that can be used to find the measure of  B Find the m  B. LaunchLaunch

©Evergreen Public Schools line segment ray (with endpoint at A) Put this notation on the back page of your organizer.   A B     A B A B

©Evergreen Public Schools

6 work alone You will need: Construction tools straight edge or ruler protractor compass pencil patty paper Looking at Angles

©Evergreen Public Schools Looking at Angles On your Angle Relationships Notes draw a line. Place three points, P, S and Q on your line. P Q S

©Evergreen Public Schools Use a protractor to measure and label the two angles created by Use a protractor to verify the measurements on your partner’s paper. Choose a point H, not on the line, and draw (ray) Looking at Angles H SH P Q S

©Evergreen Public Schools Looking at Angles The two angles you’ve created are called a Linear Pair. Why do you think this is a good name? What do you notice about the sum of the measures of the two angles created by ? Let’s make a generalization: The sum of the angles that are linear pairs….. SH

©Evergreen Public Schools Looking at Angles Watch the online tutorial. Linear pairs are supplementary. Record in your Unit Organizer linear pair - pg 6 supplementary & complementary page 3

©Evergreen Public Schools Solve for the variable. Let’s Practice 1 100° a

©Evergreen Public Schools Looking at Angles Draw two intersecting lines onto patty paper. Label the four angles formed.  1 and  3 are called vertical angles.  2 and  4 are also vertical angles. Note : Here, the word “ vertical” has nothing to do with horizontal

©Evergreen Public Schools Looking at Angles Fold the paper so that  1 lies directly on top of  3. What do you notice about their measurements?

©Evergreen Public Schools Looking at Angles Fold the paper so that  2 lies directly on top of  4. What do you notice about their measurements?

©Evergreen Public Schools Looking at Angles Let’s make a generalization: Vertical angles… Watch the online tutorial. Record this on page 3 of your Unit Organizer

©Evergreen Public Schools Without measuring, find the measure of each angle. Compare your answers with your partner. Challenge: What is another way to determine the measurement of the angles? Let’s Practice 2 87° b c d m  b = m  c = m  d =

©Evergreen Public Schools K Let’s Practice 3 Without measuring, find the measure of the angles. Compare your answers with your partner. Challenge: What is another way to determine the measurement of the angles? m  GJI = m  FJK = m  HJK =

©Evergreen Public Schools Without measuring, find the measure of each angle. Share your answers with your partner Challenge: What is another way to determine the measurement of the angles ? m  V = m  W =

©Evergreen Public Schools Debrief 1 Is the m  2 the same as m  E? Explain 2 Be Careful! This question is a trick.

©Evergreen Public Schools Complementary Supplementary Adjacent Vertical Debrief 1 2 m  EDC = 29° m  BCD = 90° Find examples of each :

©Evergreen Public Schools Learning Target Did you hit the target? I can identify pairs of angles and use these relationships to determine missing angle measures. Rate your understanding of the target from 1 to 5. 5 is a bullseye!