Similar Triangles
Right Triangles
Trigonometry
Scaling Area and Volume
3D Solids
Potpourri
100
The scale factor of this transformation
What is 1/3?
100
The value of x
What is sqrt32~~5.7 ?
7^2+x^2=9^2
x^2=9^2-7^2
x^2=32
x=sqrt32
100
The height of the lamppost
What is ~110 inches?
100
A polygon with area 10 square units is dilated by a scale factor of 6. What is the area of the image created?
62 * 10 = 360 square units
100
The shape of the cross section
What is a rectangle?
100
This is the real name of "Baby Yoda"
What is Grogu?
200
The value of x
What is 12?
200
The value of y
What is 6?
200
tan(J)
What is 5/3?
200
A solid with volume 8 cubic units is dilated by a scale factor of to obtain a solid with volume 100 cubic units. What scale factor is used in the dilation?
8k^3=64
k^3=100/8
k=root(3)(100/8)
k=root(3)(12.5)
k~~2.32
200
The volume of the solid of revolution created by rotating this triangle around this axis of rotation
What is 226.19 cubic units?
200
Rounded to the nearest thousand, this is the number of Starbucks stores in the world.
What is 38,000?
300
True or false: KM || JN
What is false?
300
Ramps in a parking garage need to be both steep and safe. The maximum safe incline for a ramp is 8.5 degrees. Is this ramp safe?
tantheta=20/100
tantheta=.2
theta=tan^{-1}(.2)
theta~~11.3^@
300
The sine of angle E is the same as cosine of this angle
What is angle D?
300
A circle with an area of 8pi square centimeters is dilated so that its image has an area of 32pi square centimeters. What is the scale factor of the dilation
What is 2?
300
V = 800 cm3.
The value of w = ?
What is 40 cm?
300
This is the year the original iPhone was released
What is 2007?
400
If the triangles are similar, write a similarity statement. If the triangles are not similar, explain why not.
The triangles are similar;
triangleABC~triangleDFE
400
The measures of angles E and D
What is
mangleE~~60.3 and mangleD~~29.7
400
The values of r and s
What is r ~~ 19.0 and s~~17.7 ?
400
Name four 3D objects that can have a triangular cross section.
Examples: Triangular prism, Cone, Cube, Rectangular Prism
400
The volume of this sphere
What is 1436.76 ft^3 ?
r = 7
V = 4/3 pi r^3
V = 4/3 *pi *7^3
V = {1372pi}/3" ft"^3~~457.3pi" ft"^3 ~~1436.8" ft"^3
400
This is the date of your final exam
What is June 3, 2024?
500
The area of JKLM
What is 378.125 square units?
500
True or false: A triangle with side lengths 7, 9, and 13 is a right triangle
You must show your work!
What is false?
7, 9, and 13 do not satisfy the pythagorean theorem:
7^2+9^2 !=13^2
500
The length of the diagonal of the square.
What is sqrt32~~5.7 ?
500
This triangular pyramid has a shaded base. It is scaled by a factor of 1/3 . What is its new surface area?
SA = sum of areas of all surfaces
SA = A_{base} + 3A_{sides}
SA = 1/2*14*12+3(1/2*14*13)=3276" in"^2
To scale the surface area, multiply by k2
3276*(1/3)^2=364" in"^2
500
The surface area of this solid
What is 12π + 80?
500
This is the name of the team that defeated the team that defeated the Sixers in their most recent postseason game
What is the Indiana Pacers?