Angles in a Circle
Chords
Secant-Secant and Secant-Tangent
More Tangent Secant Review
Review!
100
What do we call angles inside the circle that are NOT in the center of the circle?
What is Interior Angles
100
What is the formula for calculating the length of chords in the given circle?
What is a × d=b × c
100
What is the formula for calculating two secants inside the circle?
What is whole x outside= whole x outside
100
When a radius and a tangent line meet, they form what kind of angle
What is Right Angle (90 degrees)
100
A polygon is transformed using rigid motions. What two characteristics are preserved?
What are side lengths and angle measures?
200
If a central angle measures 50 degrees, what is the measurement of its intercepted arc?
What is 50 degrees
200
If a= 4cm and b=8cm on one chord, and c= 10cm and d=X on the second chord, what is the value of X?
What is X=3.2
200
If one whole secant measures 8cm and the outside segment measures 3cm. The second whole secant measures 10 cm, and the outside segment measures X, what is the value of X? (HINT: draw a picture)
What is X=2.4
200
If arc QS is equal to 60 degrees and RS is equal to 200 what is angle P equal to?
70 degrees
200
What is the equation of a line parallel to y=3x+4 that goes through the point (10,2)
y=3x-28
300
If an inscribed angle measures 58 degrees, what is the measure of its arc?
What is 116 degrees
300
If a=51mm, b=42mm, c=X, and d=25mm, What is X? Round to the nearest tenth. (You must include units for a correct answer).
What is X= 85.7mm
300
If a whole secant measures 4x and the outside part measures 2, while the tangent line connected to the secant measures 5, what is the value of x? Round to the nearest tenth.
What is x=3.1
300
What is the measure of arc MP and angle L? Two separate answers.
165 and 15
300
In △ABC, the complement of ∠B is ∠A. What trigonometric ratio is equal to cos(B)?
What is the sin(A).
400
If two arcs of an interior angle measure 120 degrees and 40 degrees, what is the measure of the interior angle?
What is 80 degrees
400
Chord AB intersects chord CD at E. DE=2x+8, EC=3, AE=4x-3, and EB=4. What is the value of x?
What is 3.6
400
1st secant: inside= 20, outside=9
2nd secant: inside= X, outside=10
What is the value of X? round to the nearest tenth
What is X=16.1
400
When two tangent lines touch the circle and meet at an external point, these tangent lines are...
A) Congruent
B) Complementary
C) Supplementary
D) Proportional
What is A) the tangent lines will be equal to each other.
400
Given the right triangle ABC below, what is the measure of ∠B? Round to the nearest degree.
sin(B) = 9/14 ≈ 40°
500
If an exterior angle has intercepted arc measures with 103 degrees and 68 degrees, what is the measure of its supplementary angle (y)?
What is 162.5 degrees.
500
If chord AB is split into A=X, B=6
and chord CD is split into C= x+3, and D=4...
What is the value of segment C?
What is 9
500
1st secant: inside segment =2, outside segment =8
2nd secant: inside segment =11, outside segment =X
What is the value of X?
What is X=5
500
Two tangent lines touch the circle and meet at an external point. One measures 30 cm while the other is 3x-15. What is the value of X?
What is X=15
500
In parallelogram QRST shown below, diagonal TR is drawn, U and V are points on TS and QR, respectively, and UV intersects TR at W.
If m∠S = 60°, m∠SRT = 83°, and m∠TWU = 35°, what is m∠WVQ?
What is m∠WVQ=72°