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Theorems
Vocabulary
Problems
Word Problems
Theorems
100

Angle of Two Chords inside the circle

Theta= (Arc1 + Arc2) /2

100
A _______ is a line in the same plane as the circle that intersects it at exactly one point. (FILL IN THE BLANK)
Tangent
100

AB is tangent to circle F. AB=2x and CD is Secant line where the sum of both Segments is CD=6+2 and the external segment is 2. Find the measurement of x.

x=2

100

The value of x, if an inscribed angle has a measure of 34 degrees, and its intercepted arc has a measure of 4x+8.

15

100

If a line is perpendicular to a radius of the circle at a point on the circle, then the line is _______ to the circle.

tangent

200

(Length) Chord-Chord Product Theorem (WRITE OUT THE THEOREM/POSTULATE)

If 2 chords intersect in the interior of the circle, then the product of the lengths of the segments are equal.

200
What is the name of the line that intersects a circle at two points?
Secant
200

Two chords intersect within a circle to form an angle whose measure is 53°. If the intercepted arcs are given by 3x+3 and 10x-14, find the measure of the larger arc.

76

200

If you are given a circle with radius 6 cm and a central Angle of 80 degrees. 

Arc Length?

8/3 pi

200

In a circle, the perpendicular bisector of a chord is a ______ or ________.

radius and diameter

300

Write the Arc Length Formula

(Theta *r)/180 pi

300
An angle whose vertex is on a circle and whose sides contain chords on the circle is called?
An inscribed angle.
300

If the measurement of an inscribed angle is 35 degrees, what if the measurement of the intercepted arc?

70 degrees

300

Find the length of line segment CB, if CB is tangent to circle A at point C, and AC is a radius of circle A. When AC is 6 cm and AB is 10 cm.

8

300

supplementary

400

Secant-Secant Product Theorem (WRITE OUT THE THEOREM/POSTULATE)

(ext1)(Whole1)=(ext2)(Whole2)

400

The ______________ is the distance of the outside arc of the circle

Arc Length
400

Find DE and AC. Secants labeled AC and CE, B and D are where the secants meet the circle, respectively. AB=6, BC=4, CD=5, DE=x.

AC=10 and DE=3

400

In a circle there are two chords labeled AB and CD, with intersection E. If the product of AE and EB is 16, what is CE if DE is 2?

8

400

If inscribed angles subtend or intercept the same arc, then the angles are _______.

congruent

500

Secant-Tangent Product Theorem

(ext)(Whole)=Tan2

500
True or False? For every tangent, there is only one point of tangency.
True.
500

Given two secants ABC and ADE intersecting outside the circle. Arcs CE=155 and BD= 89. 

Solve for Angle A

A=33

500

If you are given a circle with Radius of 8ft and an Angle of 295 Degrees. 

What is the Arc Length?

472/9 pi

500

If an inscribed angle is a right angle then is maps the degree of What line?

Diameter