What is the name of the transformation described below?
(x + 2, y - 3)
Translation (right 2, down 3)
100
Use diagram A on the board...
What is the measure of angle 5?
Explain
90 degrees, it's a right angle
100
Use diagram B on the board...
What is the name of the relationship between angle 4 and 6?
Alternate interior angles
100
What is the volume of a cylinder
radius = 3 inches
height = 7 inches
(leave your answer in terms of pi)
63pi in³
100
If given the diameter of a circle, how do you find the radius?
Take half the diameter
Multiply the diameter by 1/2
Divide the diameter by 2
200
What is the name of the only transformation that produces non-congruent images?
Dilation
200
Use diagram A on the board...
If angle 1 is 58 degrees, what is the measure of angle 2?
Explain
32 degrees, they're complementary (add up to 90)
200
Use diagram B on the board...
If angle 2 is 57 degrees, what is the measure of angle 6? Explain how you know.
57 degrees, they're corresponding angles
200
What is the volume of the cone?
radius = 2 mm
height = 60 mm
(leave your answer in terms of pi)
80pi mm³
200
Supplementary angles add up to how many degrees?
180 degrees
300
Point A (-7, 12) is to be dilated with a scale factor of 5. What are the new coordinates of Point A'?
(-35, 60)
300
Use diagram A on the board...
If angle 3 is 117 degrees, what is the measure of angle 4?
Explain
63 degrees, they're supplementary (add up to 180)
300
Use diagram B on the board...
Name 4 angles that are all congruent to one another
1, 3, 5, 6
OR
2, 4, 6, 8
300
What is the volume of a bean can that is 6 meters across and 10 meters high?
(Leave your answer in terms of pi)
90pi m³
300
Define similar shapes
Similar shapes have the same angles and all their sides are in proportion
400
Plot the triangle with coordinates A(0,2) B(2,1) C(3,4). Reflect triangle ABC over the y-axis. What are the coordinates of the new triangle?
A'(0,2) B'(-2,1) C'(-3,4)
400
Use diagram A on the board...
If angle 2 is 43 degrees, what is the measure of angle 4?
Explain
43 degrees, they're vertical angles (congruent)
400
Use diagram B on the board...
If angle 1 is 114 degrees, what is the measure of angle 6? Explain how you know.
66 degrees, multiple explanations
400
What is the volume of a tennis ball with diameter 6?
(Leave your answers in terms of pi)
36pi inches³
400
What transformation shrinks an image? Specifically state how you know it will shrink.
A dilation with a (positive) scale factor less than 1
500
Plot a triangle with coordinates A(1,1) B(3,1) C(1,4). Rotate it 90 degrees counter clockwise about the origin. What are the coordinates of the new triangle?
A'(-1,1) B'(-1,3) C'(-4,1)
500
Use diagram A on the board...
The measure of angle 1 is 4x - 17
The measure of angle 2 is x - 3
What is the measure of x?
Show all work
22 degrees
500
Use diagram B on the board...
What is the total sum of angles 1, 2, 3, and 4?
Explain how you know.
No explanation = no points
360 degrees, multiple explanations
e.g. 1 and 2 are supplementary (add up to 180)
3 and 4 are supplementary (add up to 180)
altogether they are 360 degrees
500
A basketball measuring 12 inches across is cut in half. What is the volume? (Leave your answer in terms of pi)
144pi in³
500
Find the volume of a sphere topped by a cone with a radius of 5 and a height of 14. This is a bonus question worth 1000 points! (Round your answer to the nearest tenth)