Transformations
A two-dimensional grid formed by two perpendicular number lines, the x-axis (horizontal) and the y-axis (vertical)
A Coordinate Plane/Graph
Solve X + 5 = 12
7
What shape must a triangle be for the Pythagorean theorem to work
A right triangle
What is the formula the volume of a cylinder
V= πr2h
What type of graph is used to show change over time?
Line Graph
Transformation that turns a figure around a fixed point (the center of rotation) by a specified angle (in degrees) and direction (clockwise or counterclockwise)
A rotation
Solve 3x = 21
7
What is the formula for the Pythagorean theorem
A2 + B2 = C2
Find the volume of a cone with radius 3 and height 4
12π or 37.68 cubic units
3,400,000=3.4x106
A transformation that flips a shape or figure across a line, known as the line of reflection
A reflection
2x - 3 = 7
x=5
In a triangle in one leg is 3 and the other leg is 4 what is the hypotenuse
5 because 32 + 42 = 9 + 16 = 25 and the square root of 25 = 5
What is the surface area of a sphere with radius 5
100π
or 314 square units
A graph has a point at (3, 5). What quadrant is it in?
Quadrant I.
Transformation that moves a figure or shape on a coordinate plane by sliding it horizontally, vertically, or both, without changing its size, shape, or orientation
A translation
Solve 4x + 2 = 3x + 9
X=7
True or False: the longest side of a right triangle is called the "leg"
False Its called the hypotenuse
A cylinder has a diameter of 10 and height of 7. Find the volume
175π
or
549.5 cubic units
Estimate the volume of a box that's 2.1ft x 1.5ft
10.08 cubic feet
A transformation that changes the size of a figure (enlarging or reducing it) without altering its shape
A dilatation
5(x-2)=3x+6
x=8
You have a triangle where one leg is 6 and the hypotenuse is 10 what is the length of the other leg
A cone has volume 100cm3 and height of 5cm. what is the radius?
exact r = 60/π squared
or
4.37cm
The volume of a cube is 64cm3. What is the length of one side?
4cm