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Warm Up 9/4, 5 Find the distance (units) and the midpoint (ordered pair) between these two points shown. Leave answers precise and simplified. a) (5, 13) & (9, 10) b) ( –2 , 6) & ( –7 , –6) Pythagorean Theorem In a right triangle, a2 + b2 = c2 c is the hypotenuse (longest side, opposite the right ∠) a and b are the legs (shorter sides that form the right angle) Use the Pythagorean Theorem to find the distance between the two points. a) (5, 13) & (9, 10) b) ( –2 , 6) & ( –7 , –6) Objective SWBAT classify angles and identify relationships among them. exterior interior Angle Addition Postulate Congruent Angles Congruent angles are angles that have the same measure. Angle Bisector An angle bisector is a ray that divides an angle into two congruent angles. Make sure to mark ≅ angles 1-4 Pairs of Angles 1-4 Angle Pairs Jigsaw Activity • How it works: – Each team will be assigned to one type of angle pair. – As a team, research your angle pair. • No more than 2 electronic devices per group – Fill in the space for your angle pair with its definition and a diagram. – EVERYONE Be prepared to explain your angle pair to others. Jigsaw Activity • • • • Teams 7 : adjacent angles Teams 1 & 2: linear pair (compare 2 sources) Teams 3 & 6: vertical angles Teams 4 & 5: complementary and supplementary angles • You have 7 minutes to research your angle pair and fill in the graphic organizer with its definition and a diagram. Jigsaw Activity When I tell you to, you will move to your new group* and do the following: • Teach your classmates about your angle pair. – Make sure everyone understands. • Complete your graphic organizers with the information you have learned. – Make sure you have a definition and a diagram for each angle pair. *New group assignments on next slide. Jigsaw Activity A’s go to tables 1 and 2 B’s go to tables 3 and 4 C’s go to tables 5 and 6 D’s go to tables 7 and 8 Jigsaw Activity • Teach your classmates about your angle pair. – Make sure everyone understands. • Complete your graphic organizers with the information you have learned. – Make sure you have a definition and a diagram for each angle pair. 1-4 Angle Pairs Next to each other Next to each other and form a straight line Add to 90˚ Not next to each other; formed by two intersecting lines and are ≅ Add to 180˚ Please return to your team. Complete 1-4 Practice B as a team.