Chapter 11 Flashcards

0
Q

Linear measurement

A

Permeated is the linear measurement

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1
Q

Peremetrr

A

The continuous line forming the boundary of a closed geometric figure

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2
Q

Area

A

The number of square units that covers a closed figure

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3
Q

Area of a square postulate

A

The are of a square is the square root of the legnth of its side

A = s squared

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4
Q

Area congruence post

A

If two polygons are congruent then they have the same area

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5
Q

Area addition postulate

A

The area of a regin is the sum of the areas of its non overlapping parts

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6
Q

Area of a rectangle postulate

A

The are of a rectangle is it’s length times it’s width

A=lw

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7
Q

Area of a parallelogram theorem

A

The area of a parallelogram is the product of a base and it’s corresponding height

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8
Q

Area of a triangle theorem

A

The area of a triangle is half the product of a base and it’s corresponding height

A = half bh

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9
Q

Corresponding height

A

A segment perpendicular to a chosen base

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10
Q

Area of a trapezoid Thm

A

The area of a trapezoid is half the product of the height and the sum of the bases

A= half h (b1+b2)

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11
Q

Thm 11.5

A

If the diagonals of a quadrilateral are perpendicular the the area of the quad us half the product of the lengths of the diagonals

A=half d1+d2

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12
Q

Area of an equilateral triangle apothem

A

A=1/4root 3 s squared

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13
Q

Center of a regular polygon

A

The center of a circumscribed circle is the center of a regular polygon

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14
Q

Central angle of a regular polygon

A

An angle whose vertex is the center and whose sides contain 2 consecutive vertices of a polygon

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15
Q

Radio is of a regular polygon

A

The radiois of the circle that is circumscribed in

16
Q

Area of a regular polygon

A

A=1/2aP

17
Q

Circumference

A

Distance around a circle

18
Q

Circumference around a circle

A

C=pi d

C=2 pi r

19
Q

Area of a circle

A

A = pi r squared

20
Q

Sector

A

The region bounded by 2 radii of the circle and the intercepted arc

21
Q

Arc length

A

The fraction if he circumference of a circle

22
Q

Area of a sector

A

The ration if the area of a sector to the area of its circle is equal to the ratio of the measure of the intercepted arc over. 360

23
Q

Arc length corollary

A

Ab/ 2 pi r = ab/360

Ab= 2 pi r ( ab / 360 )

24
Q

Segment of a circle

A

A region bounded by its arc and it’s chord

25
Q

Areas of similar polygons

A

If two polygons are similar with corresponding sides in the ratio of a to b, then the ratio of the areas is a squared to b squared