Chapter 10 Flashcards
The area of a parallelogram is the product of a base and its corresponding height A equals B times H
Area of parallelogram
The area of a rectangle is the product of its base and height
Area of rectangle
The area of a triangle is half the product of a base and it’s corresponding height a equals half of B times H
Area of a triangle
Any of its sides
Base of parallelogram
A segment perpendicular to the line containing that base drawn from the side opposite the base
Corresponding altitude
Length of an altitude
Height of a parallelogram
Any of its sides
Base of a triangle
Length of any altitude to the line containing that base
Height of triangle
Hypotenuse is X route two and two sides are congruent
45 9060 triangle
Shortside is X long side is x route three hypotenuse is 2x
60 3090 triangle
The area of a trapezoid is half the product of the height and the sum of the base is a equals half of H and then be one plus b two
Area of a trapezoid
The area of a rhombus or kite is half the product of the length of a diagonal
Area of rhombus or kite
Perpendicular distance in between the bases
height of trapezoid
Equidistant from the vertices
Center of regular polygon
Distance from the center to a side
Apothem
Has it’s vertex at the center and its sides pass-through consecutive vertices
Central angle of the regular polygon
Of a regular and gone 360 divided by Ed
Central angle measure
A regular polygon with a possum and a perimeter P is a equals half a possum time perimeter
Theorem 10-6
If the similarity ratio of two similar figures is a divided by b then the ratio of their perimeters is a divided by b and the ratio of their areas is a squared divided by b squared
Perimeters and area of similar figures
The area of a triangle is half the product of the legs of the two sides and the side of the included triangle
Theorem 10–8 area of triangle given side angle side
Set of all points equidistant from a given call the center
Circle
How you babe Circle point in the center
Center
Segment that has one endpoint at the center and other endpoint On circle
Radius
Congruent radiaii
Congruent circles
Segment that contains the center of a circle and has both endpoints on Circle
Diameter
Angle whose vertex is centered
Central angle
Part of the circle
Arc
Is 180° and is half of the circle
Semi circle
Smaller than semicircle so less than 180 degrees
Minor arc
Greater than a semicircle so 181 degrees and bigger
Major arc
Arcs of same circle that have exactly one point in common
Adjacent arc
The measure of the arc formed by two adjacent arcs is sum of the measures of the two arcs
Arc addition postulate
Circumference of a circle is pi times the diameter
Theorem 10-9
The length of a circle is the product of the ratio of the measure of the arc and circumference of the circle
Theorem 10-10 Arc Length
The ratio of the circumference of a circle to its diameter
Pi
Circles that line in same plane and have same center
Concentric circles
Fraction of a circles circumference
Arc length
Arcs that have the same measure and are in the same circle
Congruent arcs
Product if pi and square of radius
Area of circle
Length of circle is product of the ratio. And the area of circle
Area of sector of triangle
Region bounced by an arc of the circle as the two radio i the arcs ending
Sector of circle
Part of circle bounded by an arc and the segment joining its endpoints
Segment of circle
