Pythagorean Theorem
The only kind of triangle that can use the Pythagorean Theorem.
right triangle
What does big B stand for in volume formulas?
Area of the base
10x=40
x=4
What transformation is this (x, y)-->(kx, ky)
dilation
The longest side of a right triangle.
the hypotenuse
The slope of the equation y=-5x+4
-5
What is the volume formula for a cone and a pyramid?
V= 1/3 Bh
5x-45=-15
x=6
Point (5, 12) is rotated 180 degrees clockwise. What is the new point?
(-5, -12)
What is the hypotenuse of a right triangle with legs of 5 and 12?
13
What is the slope of the line passing through the points (25,60) and (75, 210)
m=3
What is the volume of the pyramid with a height of 17cm and a triangular base with height of 10cm and a base of 12cm?
V=340in3
60h-50=100
h=2.5
The only transformation that does not preserve congruence.
dilation
The equation that will prove the sides lengths 4cm, 5cm and 3cm will form a right triangle. (MUST say with the side lengths in the equation.)
32 + 42 = 52
Ture or False: The points {(5, 2), (1, 2), (3, 2), (-4, 2)} make a function.
TRUE
If the volume of a cylinder is 3,015.93 and the radius is 8, what is the height of the cylinder?
h=15
30x - 50 = 1,450
x=50
(x, y)-->(y, -x)
90 degree rotation clockwise or 270 counterclockwise
What is the leg of a right triangle with a hypotenuse of 10cm and a leg of 6cm?
8cm
This x-value will make the following NOT a function: {(?, -2), (1, -4), (3, 9), (5, 7)}.
1 or 3 or 5
What is the volume of a sphere with a radius of 15m
V=14137.17m3
1/3x+10=13
x=9
Point (5, 12) is translated 4 units to the right and 6 units down. What is the new point?
(5+4, 12-6)---->(9, 6)