Geometrical Concepts
What are the sides of the triangle next to the right angle?
Legs
When one leg=3 and the other leg=4 then the hypotenuse=?
What is 5
Considering that a2+b2=c2 on a right triangle, letters "a" and "b" are used to represent which part of a right triangle?
Leg
Triangles that are a result of a dilation.
What are Similar Triangles?
Pythagorean triples are positive integers that make a2+b2=c2 true. If a and b are 8 and 15, respectively, what is the value of c?
What is 17?
What is the side of the triangle across from the right angle? (*Side c)
Hypotenuse
When one leg=6 and the other leg=7 then the hypotenuse=?
What is the square root of 85?
Considering that a2+b2=c2 on a right triangle, the letter in the formula that stands for the length of the hypotenuse of a right triangle
What is "c"?
Tracing an altitude (height) to the hypotenuse forms.
Three similar right triangles.
Pythagorean triples are positive integers that make a2+b2=c2 true. If a and c are 9 and 41, respectively, what is the value of b?
What is 40?
What is the formula for the Pythagorean Theorem?
What is a2+b2=c2
When one leg=15 and the other leg=22 then the hypotenuse=?
What is the square root of 709?
What do we call multiplying a number by itself?
squaring a number
This statement denotes that congruent angles and proportional sides correspond to each other.
Similarity statement (example, ΔEGF ~ ΔFGH)
An airplane lands at an airport 60 miles east and 25 miles north of where it took off. How far are the two airports?
What is 65mi?
What is the name of the guy who is given credit for discovering the theorem we have been learning about?
Pythagoras
When one leg=7 and the hypotenuse=25 then the other leg=?
What is 24?
The side that always has the longest length in a right triangle
What is the hypotenuse?
The number f in the proportion b:f=f:s.
What is the geometric mean?
Consider a right triangle with a hypotenuse of 4cm. If a height (altitude) is traced from the vertex that has the 90 degrees marked breaking up the opposite side of 4cm into 3cm and 1cm, what is the length of the height of this triangle?
What is 1.7(or square root of 3)?
What is the only type of triangle that works with the Pythagorean Theorem. (Or a triangle with an angle measuring 90 degrees)
Right Triangle
When one leg=21 and the hypotenuse=35 then the other leg=?
What is 28?
The operation we used to "cancel" a number squared.
What is taking the square root?
Find the geometric mean of 4 and 49.
What is 14?
Herminio computed the geometric mean of two numbers. One of the numbers was 7 and the geometric mean turned out to be 7 as well. What was the other number?
What is 7?