Pythagoras/ Converse of Pythagoras
Proofs
(Day 1)(Day 2)
Special Right triangles
Word Problems
Distance
Formula
100
A^2 + B^2 = C^2
What is the formula for the Pythagorean Theorum?
100
Using factual statements to lead to a conclusion is this type of reasoning.
What is deductive reasoning?
100
In a 30-60-90 triangle, if the shorter leg has the length a, then the longer leg has this length, and the hypotenuse has this other length.
What is A radical 3, and 2A?
100
A math problem used in an everyday terminology.
What is a word problem?
100
Slope of the line that passes through points (10,3) and (34, 8)
What is 5/24?
200
The longest leg in a right triangle.
What is the hyptoneuse?
200
Given: Angle 1 is Congruent to Angle 2 Prove: Line C is Parallel to line D
What is "if AEA pairs are congruent, then lines are parallel"?
200
In an isosceles right triangle, if the legs have a length of 27262, then the hypotenuse has this length.
What is 27262 radical 2.
200
The math model for finding a height of an isosceles triangle.
What is "draw a lime down the middle, and use 30-60-90 triangle to find the height"?
200
The slope of the line that passes through (-31,-23) and (21,3).
What is 1/2?
300
A baseball infield is a square, each side measuring 90 feet. To the nearest foot, this is the direct distance from home plate to second base.
What is 127 feet? (Notice that d is the length of a diagonal of the square and is also the hypotenuse of the two isosceles right triangles into which the diagonal divides the square. Solve:(90)^2+(90)^2=d^2)
300
Rules that do not need to be proven.
What is a theorem?
300
In a right isosceles triangle if the hypotenuse has a length of 12, the legs have this length.
What is 6 root 2?
300
A 36m tree cracked in a storm. The tip fell 24m away from the base of the tree. A man has to climb this much to get to the crack.
What is 10 meters? X^2+(24)^2=(36-x)^2
300
The distance between points (-5,-5) and (1,3).
What is 10?
400
If a triangle has sides that are 12 cm, 35 cm, and 36 cm then it is this type of triangle.
What is scalene acute?
400
"If AIA are congruent, then the lines are parallel". is a theorem, the biconditional is this.
What is: "AIA are congruent if and only if the lines are parallel"?
400
Three sides of a 30-60-90 triangle, in terms of x.
What is 2x,x, and x root 3?
400
This equation is needed to find most of the answers in these word problems.
What is (Leg1)^2+(leg2)^2=hyp^2?
400
The distance between (8,-2) and (-7,6)?
What is 17?
500
The Pythagorean theorem really means this.
What is (In a right triangle) Area of a Square formed by one leg + what is Area of a Square formed by the other leg=area of square formed by the hypotenuse.
500
Daily Double: Worth 700 A true conditional, converse, and biconditional of SSS Congruence statement.
What is C: If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Con: If triangles are congruent, then the three sides are congruent to each other BiC: Three sides of one triangle are congruent to three sides of another triangle if and only if the triangles are congruent.
500
The area of an isosceles triangle with hypotenuse length 8 cm.
What is about 22.6 cm squared? Math Model: Hypotenuse is base (8), equal legs are 8 root 2 dived by 2 (simplified to 4 root 2), multiply together and round.
500
The median of an equilateral triangle is 6, the perimeter is this number.
What is 36 over root 3? Median is also altitude. Use special triangle 30-60-90 to find the side length. The. Multiply by 3 for each side.
500
The "Distance Formula". Using points (a,b)(c,d).
What is "distance=the square root of (a-c)^2 + (c-d)^2"?
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