Proofs and Logic
Triangle Time
Angles
Current Events
Stuff You Should Know
Fun Facts
100
For any x, what property justifies x = x ?
Reflexive Property (of equality)
100
Triangle JKL is an equilateral triangle.
m∠K =
60°
100
Angles ∠A and ∠B are vertical angles. If m∠A = 47° , then m∠B =
47°
100
The movie adaptation of what musical is currently out in theaters, starring Cynthia Erivo and Ariana Grande?
Wicked
100
What are the only mammals that can fly?
Bats
100
In a typical game of soccer, how many players on one team, including the keeper, are allowed to be playing on the field at one time?
Eleven (11)
200
If 2 = a, then a = 2. What property justifies this?
Symmetric Property
200
What is the vocabulary word for a triangle with two congruent sides?
Isosceles
200
Angles ∠C and ∠D make a linear pair. If m∠D = 55° , then m∠C =
125°
200
What college football player, a finalist for the prestigious Heisman award, is notable for playing regularly on both offense and defense?
Travis Hunter (Colorado)
200
Winston Churchill was the leader of the United Kingdom for many years, including most notably during what major conflict?
World War II
200
What is the polygon that most stop signs in America are shaped as?
Octagon
300
Triangle ABC has side lengths of 13, 14, and 25.
Triangle KLM has side lengths of 25, 13, and 14.
By what theorem/postulate (acronym) would you prove that the two triangles are congruent?
Side-Side-Side (SSS)
300
How do we know these two triangles are congruent?
Angle-Angle-Side (AAS)
300
What is the vocabulary word for angles 1 and 2? Besides the fact that they are congruent.
Corresponding
300
Running low on current events, sorry. Surprise math question: What is the word for two angles that add up to 90 degrees?
Complementary
300
Surprise! One more math thing:
For any ∠B, it is true that ∠B ≅ ∠B. What is the name of this property?
Reflexive property (of congruence)
300
Taylor Swift's Eras Tour just ended. The record-breaking tour is estimated to have grossed how much money, in dollars?
$2 billion
400
Give the inverse of the following statement:
If I smile, then I am happy.
If I do not smile, then I am not happy.
400
Is it possible to have a triangle with side lengths of 44, 32, and 13?
Yes
13 + 32 = 45
400
What is the vocabulary term for angles 3 and 4? Besides the fact that they are supplementary.
Consecutive interior
400
Loto, Kele, and Sina are all characters in what recently-released movie?
Moana 2
400
What state in the US goes the farthest east, besides Alaska?
Maine
400
What is the name of the building that houses the headquarters of the US military?
The Pentagon
500
Give the contrapositive of the following statement.
If a polygon has five sides, then it is a pentagon.
If a polygon is not a pentagon, then it does not have five sides.
500
Are these two triangles definitely congruent? If so, by what theorem/postulate (acronym) do you know?
Yes, Angle-Side-Angle (ASA)
500
Solve for x.
x = 36
500
Recently, the president of South Korea attempted to declare martial law but was quickly rebuffed by the rest of the government. What is the capital of South Korea?
Seoul
500
What restaurant chain has the most locations in the US?
Subway
500
Pollux and Castor are the two brightest stars in this constellation and astrological sign that means "twins." What is it?
Gemini
600
What is the vocabulary word for a statement like this?
A triangle is equilateral if and only if it has three congruent sides.
Biconditional
600
Triangle PRQ is an isosceles triangle. One of its base (congruent) angles measures 42°. What is the measure of its vertex angle?
96°
600
Given: Ray BD bisects ∠ABC.
Solve for x.
x = 9
600
The video program Sora was officially released this week. Sora generates videos using what very-hyped technology? It is a two-word phrase.
Artificial Intelligence (AI)
600
What's the test that undergraduate college students take to get into medical school?
The MCAT
600
How many novels has Stephanie Meyer written about the characters Bella Swan and Edward Cullen?
Five
Twilight, New Moon, Eclipse, Breaking Dawn, and Midnight Sun
700
Given the following diagram, what theorem involving angle relationships can be given as the reason that ∠4 ≅ ∠5 ?
Alternate exterior angles theorem
700
A triangle has one side with length 22 and another side with length 17. Give or explain the inequality that represents the range of possible lengths for the third side.
5 < x < 39
700
Angles ∠R and ∠S are supplementary. The measure of ∠R is eight less than three times the measure of ∠S. Find m∠R.
m∠R = 133°
700
The country of Syria experienced a major political change earlier this week when long-time leader Bashar al-Assad fled to Russia after a rebellion took the capital. What is the capital city of Syria?
Damascus
700
What is the word for a massive ocean wave or series of waves created by a major oceanic event such as an underwater earthquake?
Tsunami
700
In a high school, college, or professional game of basketball, what is the highest number of points you could possibly score as part of ONE play?
Four (getting fouled on a three-point shot)