Volume
Constructions
Coordinate Geometry
Trig/Triangles
Misc.
100
Give a real life example of the following 3 dimensional shapes:
- Cylinder
- Sphere
- Cone
- Rectangular Prism
Cylinder: any type of can, water bottle, wrapping paper tube
Sphere: any ball, globe, the world
Cone: ice cream cone, party hat
Rectangular prism: tissue box, gift box, shoe box
100
What type of construction is being done?
Perpendicular Bisector
100
What is the formula we must use to find the length of a line segment?
d=sqrt((x2-x1)^2+(y2-y1)^2
100
What do we know about angles and sides of similar triangles?
Angles are equal, sides are in proportion.
100
How many elements are on the periodic table?
118
200
If we rotate the following 2D shapes, what 3D shapes will be formed?
- Rectangle
- Triangle
- Circle
Rectangle= Cylinder
Triangle= Cone
Circle= Sphere
200
What type of construction is this?
Median
200
What do we know about the slopes of parallel lines and perpendicular lines?
Parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes.
200
State the ratio for sin(x).
sinx=28/53
200
What is the average lifespan of a hamster?
2 years.
300
What two volume formulas would you use to find the volume of an ice cream cone with a round scoop of ice cream on top?
v=(1/3)pir^2h
v=(4/3)pir^3
300
An angle is drawn and then an angle bisector is constructed. The angles formed from the bisector each measure 43 degrees. What is the measurement of the original angle?
86 degrees
300
What are formulas should we use to find the coordinates of a point that partitions a line segment?
x=(x2-x1)(k)+x1
y=(y2-y1)(k)+y1
300
State a correct proportion that can be used to solve for side AB.
2.5/x=x/6.8
300
What famous playwrighter was born and died on the same day in April?
William Shakespear
400
What is the first thing we must check for and do when finding the volume of the following prism:
Find the volume of a rectangular pyramid with a base of 3 inches by 7 inches and a height of 1 foot. Include your units in your answer.
Convert units so they all match
400
In order for a shape to be Inscribed inside of a circle, what must happen with all vertices of the shape?
They must all touch the edge of the circle
400
State the name of the method to find the area of this triangle, and describe ALL steps for this method
Shoelace Method!
1. Stack points
2. Multiply on the diagonal
3. Add vertically
4. Plug into
(Big#-Small#)/2
400
Solve for side BC.
BC=10
400
Guess this logo
500
The volume of a cylindrical can is
32pi
cubic inches. If the height of the can is 2 inches, what is its radius, in inches?
4 inches
500
How can we construct a 30 degree angle?
First construct an equilateral triangle, then bisect one of the angles of the triangle.
500
The line below is dilated by a scale factor of 2 centered at the origin. What is the equation of the new line formed?
y=2x-3
y=2x-6
500
Solve for the measure of angle B to the nearest degree.
37 degrees.
500
Who is this?
Jim Carey