Right Triangles & Trig
In a right triangle, this trig ratio equals the length of the opposite side divided by the hypotenuse.
What is sine?
This conic section is the set of all points equidistant from a single fixed point called the center.
What is a circle?
This is the term for a line segment from the center of a circle to any point on the circle.
What is a radius?
This is the sum of the interior angles of any quadrilateral, in degrees.
What is 360 degrees?
A statement accepted as true without proof is called this.
What is a postulate (or axiom)?
This is the length of the hypotenuse of a right triangle with legs of length 9 and 12.
What is 15?
This U-shaped conic is the set of all points equidistant from a fixed point (the focus) and a fixed line (the directrix).
What is a parabola?
The exact circumference of a circle with radius 7 is this.
What is 14π?
A quadrilateral with exactly one pair of parallel sides goes by this name.
What is a trapezoid?
This term describes the 'if-then' statement formed by swapping the hypothesis and conclusion of a conditional.
What is the converse?
In a 30-60-90 triangle, if the shorter leg is 5, this is the exact length of the longer leg.
What is 5√3?
This is the center and radius of the circle given by (x - 3)² + (y + 2)² = 49.
What is center (3, -2) and radius 7?
An angle whose vertex is on the circle and whose sides are chords is called this type of angle.
What is an inscribed angle?
This is the sum of the interior angles of a regular hexagon, in degrees.
What is 720 degrees?
This triangle congruence pattern requires two sides and an included angle to be congruent.
What is SAS (Side-Angle-Side)?
In a right triangle, the side opposite a 40-degree angle is 8. To the nearest tenth, this is the length of the hypotenuse.
What is about 12.4? (8 ÷ sin 40°)
For the ellipse x²/25 + y²/9 = 1, this is the length of the major axis.
What is 10? (a = 5, major axis = 2a)
An inscribed angle that intercepts an arc of 80 degrees has this measure.
What is 40 degrees?
Each interior angle of a regular pentagon measures this many degrees.
What is 108 degrees?
This property of equality justifies the statement: if AB = CD, then CD = AB.
What is the Symmetric Property?
A ramp rises 6 feet over a horizontal distance of 10 feet. To the nearest degree, this is the angle the ramp makes with the ground.
What is about 31 degrees? (arctan 6/10)
For the hyperbola x²/16 - y²/9 = 1, these are the equations of its two asymptotes.
What is y = ±(3/4)x?
This is the area of a sector with a central angle of 90 degrees in a circle of radius 6.
What is 9π?
This is the number of sides of a regular polygon whose interior angles each measure 150 degrees.
What is 12 (a dodecagon)?
This type of proof assumes the opposite of what you want to prove and shows that it leads to an impossibility.
What is an indirect proof (proof by contradiction)?