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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) Warm Up 9/4, 5
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Pythagorean Theorem In a right triangle, a 2 + b 2 = c 2 a and b are the legs (shorter sides that form the right angle) c is the hypotenuse (longest side, opposite the right ∠ )
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a) (5, 13) & (9, 10) b) ( –2, 6) & ( –7, –6) Use the Pythagorean Theorem to find the distance between the two points.
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Objective SWBAT classify angles and identify relationships among them.
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exterior interior
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Angle Addition Postulate
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Congruent Angles Congruent angles are angles that have the same measure.
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Angle Bisector An angle bisector is a ray that divides an angle into two congruent angles.
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Make sure to mark ≅ angles
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1-4 Pairs of Angles
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1-4 Angle Pairs
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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.
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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.
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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.
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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
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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.
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1-4 Angle Pairs Next to each other Add to 90˚ Add to 180˚ Next to each other and form a straight line Not next to each other; formed by two intersecting lines and are ≅
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Please return to your team. Complete 1-4 Practice B as a team.
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