Chapter 10 Flashcards

(23 cards)

0
Q

Regular Polygon

A

A polygon that is equilateral and equiangular

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1
Q

Polygon

A

A closed figure formed by connecting segments

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2
Q

Convex

A

A polygon if the sides when extended don’t cross through the interior of the polygon

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3
Q

Concave

A

A polygon if the sides when extended cross through the interior of the polygon

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4
Q

Thm 10-1 Interior Angle Sum Thm

A

If a convex polygon has n sides then the sum of the measure of its interior angles in (n-2)180

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5
Q

Thm 10-2 Exterior Angle Thm

A

In any convex polygon the sum of the measure of the exterior angles one at each vertex is 360

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6
Q

Postulate 10-1 Area Postulate

A

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

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7
Q

Composite Figure

A

A figure made up of more than one shape

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8
Q

Postulate 10-3 Area Addition Postulate

A

The area of a given polygon equals the sum of the area of the non overlapping polygons that form the given polygon

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9
Q

Thm 10-3 Area of a Triangle

A

The area of a triangle is found by the formula A=bh/2 where b is the base and h is the height

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10
Q

Thm 10-4 Area of a Trapezoid

A

The area of a trapezoid is found by the formula A=(b1+b2)(h)/2 where b1 and b2 is the bases and h is the height

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11
Q

Center

A

Of a regular polygon is a point in the interior that is equidistant from all vertices

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12
Q

Apothem

A

Is a segment drawn from the center that is perpendicular to a side of the regular polygon

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13
Q

Thm 10-5 Area of a regular polygon

A

The area of a regular polygon is formed by the formula A=aP/2 where a is the apothem and P is the perimeter

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14
Q

Symmetry

A

Is an exact reflection of a figure on opposite sides of a dividing line or plane

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15
Q

Line of symmetry

A

Is the line that divides a figure into 2 congruent portions

16
Q

Line symmetry

A

If a figure has a line of symmetry

17
Q

Rotational symmetry

A

Any figure that can be turned or rotated less than 360 degrees about a fixed point so that the figure looks exactly as it does in its original position

18
Q

Tessellations

A

Tiled patterns created by repeating figures to fill a plane without gaps or overlaps

19
Q

Regular Tessellations

A

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

20
Q

Semi-regular Tessellations

A

If 2 or more regular polygons are used in the same order at every vertex

21
Q

Polygon Region

A

Any polygon and its interior

22
Q

Irregular Figure

A

Is not a polygon and if cannot be made from combinations of polygons