Chapter 10 Flashcards
The area of a parallelogram is the product of a base and the corresponding height
Theorem 10-2
The area of a rectangle is the product I of it’s base and height
Thereom 10-1
The area of a triangle is half the product of a base and the corresponding height
Theorem 10-3
The area of a trapezoid is half the product of the height and the sum of the bases
Theorem 10-4
The area of a rhombus or a kite is half the product of the lengths of it’s diagnols
Theorem 10-5
Distance from the center to a vertex
Radius
Perpindicular distance from the center to the side
Apothem
The area of a regular polygon is half the product of the apothem and the perimeter
Theorem 10-6
If the similarity ratio of two similar figures is a/b then the ratio of there perimeters is a/b and the ratio of there areas is a/b
Perimeters and areas of similar figures
The area of a triangle is one half the product of the lengths of two sides and the sine of the included angle
Area of a triangle given SAS
The measure of the arc formed by two adjacent arcs is the sum of the measures if the two arcs
Postulate 10-1 Arc addition postulate
The circumference of the circle is pi times diameter
Theorem 10-9
The length of the arc of a circle is the product of the ratio , measure of the arc / 360 and the circumference of the circle
Theorem 10-10
The area of a circle is the product times pi and the square of the radius
Theorem 10-11 area of a circle
The area of a sector of a circle is the product of the ratio measure of the arc/ 360 and the area of the circle
Theorem 10-12 area of a sector of a circle