Tangents Chords ,Circles and Angles

Front

What is a Secant Line?

Back

A Secant Line is a line that intersects a circle at two points.

Front

What is a Tangent Line?

Back

A Tangent Line is a line that touches a circle at exactly one point.

Front

What is a Chord?

Back

A Chord is a line segment whose endpoints lie on the circle.

Front

What is a Diameter?

Back

A Diameter is a special type of chord that passes through the center of the circle, dividing it into two equal halves.

Front

What is the relationship between angles formed by a tangent and a chord?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an angle formed by two intersecting chords?

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of angle 1 if the intercepted arc is 150º?

Back

Angle 1 = 75º (half of 150º).

Tags

CCSS.HSG.C.A.2

Front

If two tangents are drawn from a point outside the circle, what can be said about their lengths?

Back

The lengths of the two tangents drawn from a point outside the circle to the circle are equal.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the angles in a circle?

Back

The sum of the angles around a point in a circle is 360º.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If angle 1 is 105º, what is the measure of the angle formed by the tangent and the chord at the point of contact?

Back

The angle formed is 105º (equal to the angle in the alternate segment).

Tags

CCSS.HSG.C.A.2