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Write the inverse: Is it true or false? If an animal is a panda, then it is black and white. If an animal is not a panda, then it is not black and white. (False—zebra) Which angle is the smallest? Which side is the shortest? A 57˚ B 82˚ 41˚ C <C, side AB Find the sum of the interior angles of a: 16-gon 14(180) = 2520˚ Find the measure of one interior angle of a regular: Octagon 6(180) = 135˚ 8 Which quadrilaterals have: 1 pair of opposite sides congruent IT Find the measure of one exterior angle of a regular: Pentagon 360 = 72˚ 5 Find the measure of one exterior angle of a regular: 20-gon 360 = 18˚ 20 Find the sum of the exterior angles of a: 20-gon 360˚ Which quadrilaterals have: Congruent diagonals R, S, IT Find the midpoint: (3, 5) (8, 9) AVERAGE!! (5.5, 7) Which quadrilaterals have: Perpendicular diagonals Rh, S Which quadrilaterals have: 1 pair of opposite sides // Trapezoid Which quadrilaterals have: 2 pairs of opposite sides congruent P, R, Rh, S Find the measure of one exterior angle of a regular: Octagon 360 = 45˚ 8 Find the sum of the exterior angles of a: 37-gon 360˚ Find the sum of the interior angles of a: Hexagon 4(180) = 720˚ Which angle is the smallest? Which side is the shortest? A B 65˚ 50˚ 65˚ 180 – 50 = 130 130 /2 = 65 C <A, side BC Which quadrilaterals have: Diagonals that bisect each other P, R, Rh, S Find the measure of angle J 72˚ J 54˚ 180 – 72 = 108 108 /2 = 54 Write a biconditional: If 2 segments are congruent, then they have the same length. Two segments are congruent iff they have the same length. Which quadrilaterals have: Opposite angles congruent P, R, Rh, S Find the sum of the exterior angles of a: septagon 360˚ Write a biconditional: If a polygon is a hexagon, then it has 6 sides. A polygon is a hexagon iff it has 6 sides. Find the distance: (3, 5) 2 5 2 4 (8, 9) 2 d + = 25 + 16 = d2 41 = d2 6.40 ≈ d Find the midpoint: (-9, 7) (-8, -1) AVERAGE!! (-8.5, 3) Find the measure of one interior angle of a regular: Pentagon 3(180) = 108˚ 5 Write the converse: Is it true or false? If an animal is a panda, then it is black and white. If an animal is black and white, then it is a panda. (False—zebra) Find the distance: (-9, 7) 2 1 2 8 (-8, -1) 2 d + = 1 + 64 = d2 65 = d2 8.06 ≈ d Find the midpoint: (10, -4) (4, 4) AVERAGE!! (7, 0) Find the measure of one exterior angle of a regular: Decagon 360 = 36˚ 10 Find the sum of the exterior angles of a: nonagon 360˚ Find the distance: (-2, 3) 2 12 2 5 (10, -2) 2 d + = 144 + 25 = d2 169 = d2 13 = d Find the midpoint: (-2, 3) (10, -2) AVERAGE!! (4, ½) Which quadrilaterals have: Diagonals that bisect angles Rh, S Write a biconditional: If a quadrilateral has both pairs of opposite sides congruent, then it is a parallelogram. A quadrilateral has both pairs of opposite sides congruent iff it is a parallelogram. Find the distance: (2, -10) 2 7 2 24 (-5, 14) 2 d + = 49 + 576 = d2 625 = d2 25 = d Find the midpoint: (2, -10) (-5, 14) AVERAGE!! (-1.5, 2) Find the measure of angle J 59 + 72 = 131 180 – 131 = 49 59˚ 72˚ 49˚ J Write the contrapositive: Is it true or false? If an animal is a panda, then it is black and white. If an animal is not black and white, then it is not a panda. (True) Find the sum of the interior angles of a: Dodecagon 10(180) = 1800˚ Which angle is the smallest? Which side is the shortest? A (x + 2)˚ 62˚ B 58˚ (x – 2)˚ 60˚x˚ C <B, side AC x + x – 2 + x + 2 = 180 3x = 180 x = 60 Find the measure of one interior angle of a regular: 16-gon 14(180) = 157.5˚ 16 Find the distance: (10, -4) 2 6 2 8 2 d + = 36 + 64 = d2 100 = d2 10 = d (4, 4) Find the measure of angle J (5x + 1)˚ J (3x + 3)˚ (3x)˚ 5x + 1 + 3x + 3 + 3x = 180 11x + 4 = 180 11x = 176 x = 16 3(16) + 3 = 52˚ Which quadrilaterals have: 2 pairs of opposite sides // P, R, Rh, S