Transformations
What are the 3 types of rigid transformations?
Translation, Rotation, and Reflection
What is the general equation for a linear function?
y=mx+b
What is the definition of volume?
If your teacher asked you to find the missing height of a triangular ramp, what formula would you use to solve?
Pythagorean Theorem
a2+b2=c2
Expand the following expression:
b2w3z7
b b w w w z z z z z z z
When two shapes are exactly the same size and shape they are called ___________.
congruent
What is the slope of this function: y=3x-2
3
What are the 3 3D shapes we discussed in class regarding volume AND what are their formulas?
Cylinder: V=pi r2 h
Cone: V=1/3(pi r2 h)
Sphere: V= 4/3 (pi r3)
The legs are the two sides of the right triangle that form the right angle. The hypotenuse is the longest side of the right triangle across from the right angle.
NO CALCULATOR
What is the value of the square root of 121?
11
What type of transformation changes the size of the shape and makes shapes similar?
Dilation
What are the 4 types of slopes?
Positive, Negative, Zero, and Undefined
Calculate the volume of a cylinder with diameter 4cm and height of 2cm. Round your answer to the nearest hundredth.
25.12 cubic centimeters
Do these 3 triangle side lengths form a right triangle? Why or why not?
9, 15, 12
Yes because the side lengths can accurately be substituted into the Pythagorean Theorem!
92 + 122 = 152
NO CALCULATOR
The square root of 70 is between which 2 whole numbers?
Between 8 and 9
because sqrt(64) = 8 and sqrt(81)= 9 and 70 is between 64 and 81.
After translating a shape 3 units to the right and rotating a shape 90 degrees counterclockwise around the origin, are the 2 shapes now congruent, similar, or both?
Both similar and congruent
How do you know which point is the y-intercept of a line?
Where the x-coordinate is 0 / Where the line meets the y-axis / Where the initial value is
Calculate the volume of a cone with radius 5m and height 3m. Round your answer to the nearest hundredth.
78.54 cubic meters
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
c=20
Simplify the following expression using exponent rules.
x0m7x2m-9
x2 / m2
After a shape has been dilated by a scale factor of 1/2 with center (0,1) and reflected across the y-axis, are the 2 shapes congruent, similar, or both?
The shapes are similar and NOT congruent
Calculate the slope of line with points (1,2) and (3,7)
5/2
If the volume of a sphere is 10.66pi cubic inches, what is the radius of the sphere?
r=2 inches
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=15
a = 9
Simplify the following expression using exponent rules.
(g3)-7 (g10)0
1/ g21