honors geo review units 5 and 6

two polygons whose corresponding angles are congruent and whose corresponding sides are proportional

AA, SSS, SAS

a²=b²+c²-2bcCosA

sinA/a = sinB/b = sinC/c

If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides.

(x-h)²+(y-k)²=r²

Add (b/2)^2 to both sides of the equation

It intersects the circle only once and is always perpendicular to a radius drawn to the intersection point

A chord is a line segment joining two points on a circle.

A radius is perpendicular to a chord of a circle if it bisects the chord

If two tangent segments share a common endpoint outside of a circle, then they are congruent

Measure of its central angle (the angle that is formed by connecting the radius to both ends of the arc)

If an angle is an inscribed angle, then it has a measure equal to one half the measure of its intercepted arc

2πR

πR²

(x/360)2πR or (x/2π)2πR

(x/360)πR² or (x/2π)πR²

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.