Chapter 11 Flashcards
Linear measurement
Permeated is the linear measurement
Peremetrr
The continuous line forming the boundary of a closed geometric figure
Area
The number of square units that covers a closed figure
Area of a square postulate
The are of a square is the square root of the legnth of its side
A = s squared
Area congruence post
If two polygons are congruent then they have the same area
Area addition postulate
The area of a regin is the sum of the areas of its non overlapping parts
Area of a rectangle postulate
The are of a rectangle is it’s length times it’s width
A=lw
Area of a parallelogram theorem
The area of a parallelogram is the product of a base and it’s corresponding height
Area of a triangle theorem
The area of a triangle is half the product of a base and it’s corresponding height
A = half bh
Corresponding height
A segment perpendicular to a chosen base
Area of a trapezoid Thm
The area of a trapezoid is half the product of the height and the sum of the bases
A= half h (b1+b2)
Thm 11.5
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
Area of an equilateral triangle apothem
A=1/4root 3 s squared
Center of a regular polygon
The center of a circumscribed circle is the center of a regular polygon
Central angle of a regular polygon
An angle whose vertex is the center and whose sides contain 2 consecutive vertices of a polygon
Radio is of a regular polygon
The radiois of the circle that is circumscribed in
Area of a regular polygon
A=1/2aP
Circumference
Distance around a circle
Circumference around a circle
C=pi d
C=2 pi r
Area of a circle
A = pi r squared
Sector
The region bounded by 2 radii of the circle and the intercepted arc
Arc length
The fraction if he circumference of a circle
Area of a sector
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
Arc length corollary
Ab/ 2 pi r = ab/360
Ab= 2 pi r ( ab / 360 )
Segment of a circle
A region bounded by its arc and it’s chord
Areas of similar polygons
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
