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Cirlcles/Spheres
vocabulary
Right Triangle Vocabulary
QuadraticFunction Vocabulary
Problems
100
Arc Addition Postulate
The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs is ....
100
half
The radius is exactly _____ of the diameter?
100
a branch of mathematics that deals with the relationships between the sides and angles of triangles and the calculations based on these relationships.
What is trigonometry?
100
A function that can be written in the form y=ax^2+bx+c .
What is a quadratic function?
100
A)√21/3 B)2√6 C)(15+5√7)/2
Simplify expressions by rationalizing denominator: A)√(7/3) B)12/(√6) C)5/(3-√7)
200
Measure of an inscribed Angle Theorem
The measure of an inscribed angle is one half the measure of its intercepted arc is ....
200
a line that intersects a circle in two points.
What is a secant?
200
-a ratio of the lengths of two sides in a right triangle. -sin=opposite/hypotenuse , cos= adjacent/hypotenuse , tan=opposite/adjacent
What is a trigonometric ratio? What are the three trigonometric ratios
200
A parabola is the U shaped graph of a quadratic function and the vertex of a parabola is the point on a parabola that lies on the axis of symmetry.
What is the parabola and how is the vertex related to the parabola?
200
A) ±√14 B) ±2
Solve the equation: A) 2x^2+5=5x^2-37 B) 3(x^2+2)=18
300
1. one half 2. vertical angle
The angles inside the circle theorem states: If two chords intersect inside a circle, then the measure of each angle is ___1___ the sum of the measures of the arcs intercepted by the angle and its ___2___ .
300
a segment whose endpoints are on a circle.
What is a cord?
300
complementary- sum of angles that equal 90 degrees. supplementary- sum of angles that equal 180 degrees.
What are complementary angles ? Supplmentary angles ?
300
Maximums or minimums of a function.
What is an extrema ?
300
Hypotenuse= 11√2
If you have a 45-45-90 triangle and both of the legs are 11 , what would the length of the hypotenuse be?
400
1. difference 2. intercepted arcs
The angles outside the circle theorem states: if a tangent and a secant, two tangents, or two tangents outside a circle, then the measure of the angle formed is one half the ___1___ of the measures of the ___2___.
400
an angle whose vertex is the center of the circle.
What is a central angle of a circle?
400
It means you have to find the measures of all the missing sides and angles.
What does it mean to solve a right triangle ?
400
Vertex form: y=a(x-h)^2 Intercept form: y=a(x-p)(x-q)
What is vertex form? Intercept form?
400
shorter leg: 4 hypotenuse: 8
If you have a 30-60-90 triangle and the longer leg is 4√3, what would the lengths of the shorter leg and the hypotenuse be?
500
False: The circumference C of a circle is C=pid or C= 2pi(r), where d is the diameter of the circle and r is the radius of the circle.
True or false: The circumference C of a circle is C=pid or C= 4pi(r), where d is the diameter of the circle and r is the radius of the circle.
500
an angle whose vertex is on a circle and whose side contains chords of the circle.
What is an inscribed angle?
500
sin^(-1)=opposite/hypotenuse cos^(-1)=adjacent/hypotenuse tan^(-1)=opposite/adjacent
What are the inverse trigonometric ratios?
500
The process of eliminating a radical expression in the denominator of a fraction by multiplying both the numerator and denominator by an appropriate radical expression
What is rationalizing the denominator?
500
about 1648.5 feet
"A surveyor needs to find the distance BC across a lake as part of a project to build a bridge. The distance from point A to point B is 325 feet. The measurement of angle A is 42 degrees and the measurement of angle B is 110 degrees. What is the distance of BC across the lake to the nearest foot?"