Angles
What type of angle has its vertex at the center of a circle?
Central Angle
If a triangle is inscribed in a semi-circle what is the measure of its largest angle?
90 degrees
What is the center of the circle with the equation:
x2 + (y - 2)2 = 5 ?
(0,2)
What is the formula for finding the measure of an angle formed by two tangents?
angle = 1/2 (BA - SA)
What is the sum of the interior angles of a pentagon?
540 degrees
What type of angle has its vertex on the circle?
Inscribed angle
What do we know about the measurement of opposite angles inside an inscribed quadrilateral?
They are supplementary
What is the radius of a the circle with the following equation:
(x - 1)2 + y2 = 144
12
What is the formula for finding the measure of an angle formed by two intersecting chords?
angle = 1/2 (BA + SA)
Name 3 types of angle pairs formed by two parallel lines cut by a transversal.
Alternate Interior, Corresponding, Alternate Exterior, Consecutive Interior
If an inscribed angle has a measure of 123 degrees what is the mesure of the intercepted arc?
246 degrees
If an equilateral triangle is inscribed in a circle what is the measure of any of the intercepted arcs?
120 degrees
What is the radius of a the circle with the following equation:
(x - 1)2 + y2 = 10
The square root of 10
What do we know about the segment lengths of intersecting chords?
The products of their respective segments are equal.
What is the length of the hypotenuse of a right triangle with leg lengths of 12 and 16?
20
If a central angle has a measure of 120 degrees what is the measure of the intercepted arc?
240 degrees
How many degrees is the intercepted arc of an inscribed right angle?
180 degrees
What is the Equation of a circle with Center (-4, 5) and a radius of 2?
(x + 4)2 + (y - 5)2 = 4
How do we find the measure of angle formed by one secant and one tangent?
angle = 1/2 (BA - SA)
What does SOHCAHTOA stand for?
Sine Opp Hyp, Cosine Adj Hyp, Tangent Opp Adj.
If an angle formed by a chord and a tangent has a measure of 2x, what is the measure of the intercepted arc?
4x
If the measure of an angle of an inscribed quadrilateral is 2x + 6. And its opposite angle is 80 degrees, what is the value of x?
47 degrees
What is the radius of a circle with a center at (-6, 2) and a point at (-6, 10)?
8
How do we find the measure of an angle formed by one chord and one tangent?
angle = 1/2 arc
What two things do we know about similar polygons?
1. All corresponding angles are congruent.
2. All corresponding sides are proportionate.