Transformations
These are the 4 Transformations
Translation
Reflection
Rotation
Dilation
These are the two parts to a Power
base and exponent
The line that intersects two parallel lines.
Transversal
a2 + b2 = c2
This is the measurement of space inside of a three dimensional figure.
Volume
This is used to show the difference between the Pre-Image and the Image
Prime Notation
The product of a3 and a5
a8
The sum of the interior angles of a Triangle.
180 degrees
For a right triangle, the length of one side is 3 inches and the length of the other side is 4 inches. What is the length of the hypotenuse.
5 inches
A cylinder has a radius of 10 inches and a height of 5 inches. This is the volume of the cylinder.
v = (pi)(r2)(h)
1570 in3
This Transformation with a scale factor k > 1 or a scale factor k < 1, creates an image that is similar to the pre-image not congruent
Dilation
(a2b3)4
a8b12
What is the relationship between two angles that share the same vertices.
Vertical
Stacy got a new tv for her bedroom for Christmas. The height of the tv is 24 inches and the width of the tv is 18 inches. What is the size of the tv.
TV's are sized by their diagonal.30 inches
A cone-shaped popcorn container has a diameter of 10 inches and a height of 12 inches. This is the volume of the popcorn container.
v = (pi)(r2)(h) / 3
314 in3
This transformation is denoted by the following
(x,y)--> (x(-1), y(-1))
180 degree rotation
4x2y3z5 divided by 2x3y3z3 (hint : no negative exponents)
2z2/x
The sum of two interior angles that is congruent to the opposite side exterior angle.
Remote Interior Angles
James rested his 12 foot ladder on his house to clean the gutters. The base of the ladder was 5 feet away from the house. This is the height of James' gutters.
10.9 feet or 11 feet
The radius of a golf ball is 7 centimeters. This is the volume of the golf ball.
v = (4)(pi)(r3) / 3
1436 cm3
Point A located at (-2,5) is reflected across the Y axis and rotated 90 degrees counterclockwise, this is the location of A''.
(-5,2)
(5a2b5c3)0 + (5a3b2c5)0
2
In a transversal, if <a and <b are alternate exterior angles and m<a = 81 degrees an <c is supplementary to <a, what is m<c?
99 degrees
Derrick's television stand is 30 inches wide. Derrick bought a new 60 inch television that is 30 inches tall. This is the width of Derrick's new television. State if it will fit on Derrick's television stand.
51.96 or 52 inches
no this television will not fit on Derrick's television stand.
The volume of a cylinder whose diameter is 14 inches is 1,384.74 in3. The volume of a cone whose radius is 10 inches is 523.3 in3. Which figure is taller? How much taller is one figure than the other?
The cylinder is taller. The cylinder has a height of 9 inches and the cone has a height of 5 inches, therefore the cylinder is 4 inches taller than the cone.