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Section 1

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semicircle

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Math

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6 years ago

Date created

Mar 1, 2020

Cards (35)

Section 1

(35 cards)

semicircle

Front

half a circle

Back

The perpendicular bisector of a cord is a diameter of the circle.

Front

Back

Circumference Formula

Front

c=2∏r

Back

If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is 1/2 the difference of the measure of the intercepted arc.

Front

AngleA=1/2(ArcDE-ArcBC)

Back

In a plane, a line is tangent to a circle if and only if it is perpendicular to a radius drawn to the point of tangency.

Front

Back

Radius

Front

A segment whose endpoints are the center and any point on the circle

Back

major arc

Front

an arc with a measure greater than 180

Back

Vertex of angle is on the circle

Front

Angle1=1/2x

Back

If a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is 1/2 the measure of its intercepted arc.

Front

Angle1=1/2arcAB

Back

In the same circle or in congruent circles,two chords are congruent if and only if they are equidistant from the center.

Front

Back

Tangent

Front

A line in the plane of a circle that intersects the circle in exactly one point.

Back

circumference

Front

the distance around a circle

Back

If two inscribed angles of a circle intercept the same arc or congruent arc then the angles are congruent.

Front

Back

Chord

Front

A segment whose endpoints lie on a circle

Back

radius formula

Front

r=d/2, r=1/2d

Back

Arc

Front

Part of a circle connecting two points on the circle.

Back

Minor arc

Front

Less than 180

Back

Vertex inside the circle

Front

Angle1=1/2(x+y)

Back

diameter formula

Front

d=2r

Back

Inscribed angle

Front

An angle whose vertex is on a circle and whose sides contain chords of the circle

Back

Common Tangent

Front

A line or segment that is tangent to two coplanar circles

Back

Point of tangency

Front

The point where the tangent and a circle intersect

Back

If a diameter of a circle is perpendicular to a chord, then it bisects the cord and it's arc

Front

Back

If two secants or chords intersect in the interior of a circle, then the measure of an angle formed is 1/2 the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Front

angle1=1/2(arcAB+arcCD)

Back

Vertex outside the circle

Front

Angle1=1/2(x-y)

Back

Secant

Front

Any line that intersects a circle in exactly two points

Back

What makes minor arcs congruent?

Front

Minor arcs are congruent if and only if their corresponding chords are congruent

Back

If an angle is inscribed in a circle, then the measure of the angle equals 1/2 the measure of it intercepted arc.

Front

M<1=1/2mArcAB

Back

Intercepted arc

Front

Has endpoints on the sides of an inscribed angle and lies in the interior of the inscribed angle

Back

An inscribed angle of a triangle intercepts a diameter or semi circle if and only if the angle is a right angle

Front

Back

Diameter

Front

A chord that passes through the center of the circle and is made up of collinear radii

Back

Arc Length Formula

Front

Arc length/circumference=angle/360

Back

Circle

Front

The set of all points in a plane that are equidistant from a given point

Back

central angle

Front

an angle whose vertex is the center of the circle

Back

If two segments from the same exterior point are tangent to a circle, then they are congruent.

Front

Back