Theorems
Vocabulary
Problems
Word Problems
Theorems2
Circles
100
Arc Addition Postulate (WRITE OUT THE THEOREM/POSTULATE)
The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.
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 and CD are both tangent to circle F. AB=5x-28 and CD=3x. Find the measurement of CD.
CD=42
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
100

True or False:

A chord is a segment that connects the center of a circle to any point on a circle?

If false, 

What is the correct answer?

What is false

A radius is a segment that connects the center of a circle to any point on a circle.

200

Write the Chord-Chord Product Theorem

If two chords intersect inside a circle, the products of the lengths of the the segments of one chord is equal to the product of the lengths of the other chord.

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
The value of x if two line segments, AB and BC are tangent to a circle and both meet at point B. When AB = 2x+3 and BC = 4x-5.
4
200
In a circle, the perpendicular bisector of a chord is a ______ or ________.
radius and diameter
200

Write the equation of a circle with a center of (15, -6) and a radius 13.

(x - 15)2 + (y + 6)2 = 169.

300
Write the equation of a circle.
(x-h)^2 + (y-k)^2 = r^2
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
The length of line segment AB, if CB is tangent to circle A at point C, and AC is a radius of circle A. When AC is 6 cm and CB is 10 cm.
11.66
300
If a quadrilateral is inscribed in a circle, then its opposite angles are _________.
supplementary
300

If the Diameter of circle T is 2√41 , what is the radius of circle T?

sqrt(41)

400
Secant-Secant Product Theorem (WRITE OUT THE THEOREM/POSTULATE)
If 2 secants intersect outside of the circle, then the product of the lengths of one secant segment and its external segment equals the length of the other secant segment and its external segment.
400

DOUBLE JEOPARDY

How many common tangents can be drawn for two externally tangent circles?

3

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
400

Find an equation of the circle whose center is at the point (-4 , 6) and passes through the point (1 , 2).

(x + 4) 2 + (y - 6) 2 = 41

500
Secant-Tangent Product Theorem
If a secant and a tangent intersect outside of the circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment squared.
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 BC,CE,ED and BD have the respective ratio of 1:5:1:2 . Find angle A.
A=60
500
A rectangle is inscribed in a circle with radius 7 cm. The length of the rectangle is 12 cm. What is the width of the rectangle?
7.2 cm
500
An inscribed angle subtends a(n) ________ if and only if the angle is a right angle.
semi-circle
500

DOUBLE JEOPARDY

Factor

2x2 + 14x + 3

PRIME

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