Studied by 1 personWhat is a secant?
A line that intersects a circle in 2 points
What is a chord?
A segment whose endpoints are on the circle
What is a tangent?
A line that intersects a circle in exactly one point
What is Theorem 10.1?
If a line is tangent to a circle it is perpendicular to the radius drawn to the tangent
What is Theorem 10.2 a converse to?
10.1
What is Theorem 10.3?
If two segments end at the same point and are tangent to a circle then they are congruent
What is a central angle?
An angle whose vertex is in the center of the circle
What is a minor arc?
An arc measuring less than 180 degrees
What is a major arc?
An arc that measures between 180 and 360 - has to have 3 points
What is the arc addition postulate?
It allows you to add together measures of arcs
What is Theorem 10.5?
If a diameter and a chord are perpendicular then the diameter bisects the chord and it’s arcs
What is Theorem 10.4?
2 minor arcs are congruent if thier corresponding chords are congruent
What is Theorem 10.6?
If a chord is a biscetor of another chord that chord is a diameter
What is Theorem 10.7?
2 chords are congruent if they are equal distance from the center of the circle
What is Theorem 10.9?
If 2 inscribed angles show the same intercepted ac then the angles are congruent
What is Theorem 10.10?
A right triangle can be inscribed in a circle if the hypotenuse is a diameter
What is Theorem 10.11? (inscribed one)
A quadrilateral can be inscribed in a circle if opposite angles are 180
The measure of a minor arc =
measure of a central angle
Measure of an inscribed angle (Theorem 10.8) =
1/2 the measure of the intercepted arc
If a tangent and a chord intersect at a point on a circle then m<1 =
1/2 mAB
If two chords intersect in the interior of a circle then m<1 =
1/2 (mAB+mCD)
If a tangent and a secant intersect in the exterior of a circle then m<1 =
1/2 (mAB-mAC)
If two secants intersect in the exterior of a circle then m<1 =
1/2 (mCD-mAB)
If two tangents intersect in the exterior of a circle then m<1 =
1/2 (mACB-mAB)
If two chords intersect in the interior of a circle then
EA * *EB = EC ** ED
If two secants share the same endpoint outside a circle then
EA *EB = EC* ED
If a secant and a tangent share an endpoint outside the circle then
(EA)^2 = EC * ED
Note
Flashcard