Geometry Quiz unit 6

Bro so many terms

What is a secant?

What 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