Proofs
This theorem states that two angles opposite each other on a shared vertex are congruent
What is the Vertical Angles Theorem?
This is the sum of the exterior angles of any polygon
What is 360 degrees?
The volume of this solid is calculated by multiplying its length, width, and height
What is a Rectangular Prism?
This probability is found by subtracting the probability of "A" from 1
What is the Probability of not "A"?
This is how old Mr. McSwain is
What is 26?
This lemma states that if two triangles are congruent, all of their corresponding parts must be congruent to each other.
What is Corresponding Parts of Congruent Triangles are Congruent (CPCTC)?
This regular polygon has interior angles of 150 degrees
What is a dodecagon?
This Platonic Solid is comprised of twenty equilateral triangles
What is an Icosahedron?
Also called "weighted average," this calculates the sum of every possible value multiplied by its probability.
What is Expected Value?
This is the year Mr. McSwain graduated from SLOHS
What is 2015?
This quadrilateral has four right angles
What is a Rectangle?
The sum of interior angles of this polygon is 1620 degrees.
What is an Undecagon (alt: Hendecagon)?
The surface area of this solid can be calculated by treating its lateral face or faces as trapezoids, whose bases are the perimeter of the bases of the solid, and whose height is the slant height of the solid.
What is a Frustum?
This type of model allows you to calculate probabilities of specific outcomes by multiplying the probabilities along its branches
What is a tree diagram?
Mr. McSwain prepares and drinks this beverage every morning.
What is a cappuccino?
This theorem states that two lines crossed by a transversal are parallel if their same-side interior angles are supplementary
What is Theorem 2.7: Converse to SSIA?
The are of this polygon can be found by multiplying the square of its side length by the square root of 3 and dividing by 4
What is an Equilateral Triangle?
The volume of this solid is calculated by taking 2/3 of the radius cubed.
What is a Hemisphere?
3.5
What is the Expected Value of a 6-sided die?
This is Mr. McSwain's favorite quote
What is "Every triangle is a love triangle when you love triangles" -Pythagoras?
This property of equality states that everything is equal/congruent to itself
What is the Reflexive Property?
This fractional scale factor results in an area ratio of 3.0625 and a volume ratio of 5.359375
What is 7/4?
This value is calculated using the pythagorean theorem with the radius of the base and the height of the solid.
What is the Slant Height of a Cone?
This is the probability of being dealt blackjack.
What is 128/2652 = 4.83%?
This is the episode of Bluey that Mr. McSwain teaches to all his students at the beginning of each trimester
What is "Typewriter," Bluey S2E49