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Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon.

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Presentation on theme: "Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon."— Presentation transcript:

1 Geometry

2 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon

3 Geometry Interior angle sum theorem The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 o.

4 Geometry The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 o. n = 3 n-2 = 1 sum = 1*180 o = 180 o

5 Geometry The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 o. n = 4 n-2 = 2 sum = 2*180 o = 360 o

6 Geometry The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 o. n = 5 n-2 = 3 sum = 3*180 o = 540 o

7 Geometry The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 o. n = 6 n-2 = 4 sum = 4*180 o = 720 o

8 Geometry Exterior angle sum theorem The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360 o.

9 Geometry The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360 o.

10 Geometry The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360 o.

11 Geometry The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360 o.

12 Geometry Pythagorean theorem The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. a 2 + b 2 = h 2

13 Geometry a 2 + b 2 = h 2

14 Geometry a 2 + b 2 = h 2 3 4 5

15 Geometry 3 2 + 4 2 = 5 2 3 4 5

16 Geometry 9 + 16 = 25 3 4 5


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