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Polygons and Area. Section 10-1  A polygon that is both equilateral and equiangular.

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Presentation on theme: "Polygons and Area. Section 10-1  A polygon that is both equilateral and equiangular."— Presentation transcript:

1 Polygons and Area

2 Section 10-1

3  A polygon that is both equilateral and equiangular

4  If all of the diagonals lie in the interior of the figure, then the polygon is convex.

5  If any point of a diagonal lies outside of the figure, then the polygon is concave.

6 Section 10-2

7  If a convex polygon has n sides, then the sum of the measures of its interior angles is (n-2)180

8  In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360.

9 Section 10-3

10  For any polygon and a given unit of measure, there is a unique number A called the measure of the area of the polygon

11  Congruent polygons have equal areas

12  The area of a given polygon equals the sum of the areas of the nonoverlapping polygons that form the given polygon.

13 Section 10-4

14  If a triangle has an area of A square units, a base of b units, and a corresponding altitude of h units, then A = ½ bh

15  If a trapezoid has an area of A square units, bases of b 1 and b 2 units, and an altitude of h units, then A = ½ h(b 1 +b 2 )

16 Section 10-5

17  A point in the interior of a regular polygon that is equidistant from all vertices

18  A segment that is drawn from the center that is perpendicular to a side of the regular polygon

19  If a regular polygon has an area of A square units, and apothem of a units, and a perimeter of P units, then A = ½ aP

20  All digits that are not zeros and any zero that is between two significant digits  Significant digits represent the precision of a measurement

21 Section 10-6

22  If you can draw a line down the middle of a figure and each half is a mirror image of the other, it has symmetry

23  If you can draw this line, the figure is said to have line symmetry  The line itself is called the line of symmetry

24  If a figure can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position, it has rotational or turn symmetry

25 Section 10-7

26  A tiled pattern formed by repeating figures to fill a plane without gaps or overlaps

27  When one type of regular polygon is used to form a pattern

28  If two or more regular polygons are used in the same order at every vertex


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