Geometry NEW
Estimate the coordinates of the midpoint of the line segment below:
(-1, 2)
Find the midpoint of the line segment with endpoints (-3,-1) and (1,6).
(-1, 2.5)
You are standing at the point (2,3) on a graph. Which point is closer: (-1,2) or (4,6)?
(-1,2)
Label the point.
(-2, -2)
What are the coordinates of this point?
(-3, 4)
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
(0, 2) and (6, 0)
Which of the following is an example of an ordered pair?
(2,9)
Find the midpoint of the line segment with endpoints (6,-2) and (6,4).
(6, 1)
What is the slope in this equation? y - 6 = -4(x + 7)
-4
Jake has been flipping a coin for 3 hours straight and he is about to flip it for the 500th time. What is the theoretical probability that Jake gets heads on this last flip?
1 out of 2 (50%) because no matter how many times a coin is flipped, each flip has just two possible outcomes, heads or tails.
What is the surface area of a square pyramid that has a base area of 100 feet squared, a base perimeter of 40 feet, a height of 50 feet, and a slant height of 60 feet?
1,300 feet squared
What is the volume of a square pyramid that has a base area of 100 feet squared, a base perimeter of 40 feet, a height of 50 feet, and a slant height of 60 feet?
1,666.67 feet cubed
What is the area of the circle enclosed by taking a 4 cm by 6 cm sheet and wrapping it around a 6 cm tall cylinder?
1.27 square cm
Find the distance between the two points (4, 1) and (10, 9).
10
A student's password for her school email consists of three characters. The first character must be a lower-case letter. The second and third characters must be single digits. If Caitlin wants to use the letter 'c' for the first character, how many different passwords can she choose from?
100
What is the area of the annulus/doughnut shown below?
12 pie
What is the area of the diamond/kite shown below?
12 units2
What is the surface area of a sphere whose radius is 1 inch?
12.57 inches squared
What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?
125 cubic meters
Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.
13 squared
What is the volume of a cone with a height of 20 inches and a radius of 8 inches?
1340 inches cubed
A bag has been filled with 35 red marbles, 25 green marbles, 25 blue marbles and 15 orange marbles. What is the theoretical probability that someone can reach in and randomly pick an orange marble?
15 out of 100, which is 15/100 (15%)
What is the volume of a cylinder with a height of 9 inches and a radius of 8 inches? Use 3.14 for π and round to the nearest tenth.
1808.6 inches cubed
What is the volume of a hemisphere with a radius of 3cm?
18π cm3
What is the volume of a cylinder with a height of 7 inches and a radius of 3 inches?
198 inches cubed
A prism has how many bases?
2
How many columns are used in geometry proofs?
2
How many dimensions does a plane have?
2
How many imaginary lines need to be drawn to label points?
2
What is the slope in this equation? y = 2x - 1
2
You roll a die ten times and get a six four of those times. What is the experimental probability of rolling a six?
2/5
What is the volume of a cube with an edge length of 6 cm?
216 cm3
What is the surface area of a rectangular prism whose base measures 4 inches by 5 inches with a height of 10 inches?
220 inches squared
What is the surface area of a cylinder with a height of 10 inches and a radius of 3 inches? (Use π in your calculations, do not round to 3.14)
245.04 inches2
A teenage girl is trying to put together her fall outfits. Each outfit consists of one top, one bottom and one accessory. The list below shows the pieces of clothing that she has in her closet. TOPS - sweater, hoodie, long-sleeved blouse, polo shirt BOTTOMS - pants, skirt ACCESSORIES - scarf, headband, beret How many different outfits are in the sample space AND what proportion of all the different outfits have the hoodie as the top?
24; 1/4
Find the distance between the points (-3, 4) and (2, 5).
26
What is the surface area of a cylinder with a height of 4 inches and a radius of 5 inches? (Use π in your calculations rather than 3.14)
282.7 inches2
How many dimensions does a polyhedron have?
3
How many points are recommended for the table method?
3
Our current line has a slope of -1/3. What is the slope of a line that is perpendicular to our line?
3
The hexahedron has how many sides coming together at each corner?
3
You flip a coin and get heads 30 out of 100 times. What is the experimental probability of flipping heads the next time around?
3/10
You roll a die ten times. Three of those times, you get a 6. What is the experimental probability of rolling a 6?
3/10
You're sitting on a beach and see 100 dogs run past you and three of them are blue. What is the experimental probability the next dog you see run past you will be blue?
3/100
What is the surface area of just the BASE of a cone with a radius of 10 cm and a side length of 15 cm?
314 cm squared
What is the surface area of a triangular pyramid that has a base area of 200 feet squared, a base perimeter of 60 feet, a height of 100 feet, and a slant height of 150 feet?
4,700 feet squared
What is the volume of a sphere whose radius is 1 inch?
4.19 inches cubed
Jerry wants to buy a TV online, but the ad for the TV he wants to buy does not say what the screen size is. He knows that TV screens are measured diagonally. This image shows the length and width of the screen, so he decides to use the Pythagorean Theorem to determine the diagonal screen size. What is the screen size of the TV that Jerry wants to buy (to the nearest inch)?
40 inches
A history teacher gave his class a five-question multiple choice test. Each question has four possible answers: A, B, C, or D. Assume that each question has to be answered and each answer must be one of the four choices. How many distinct test papers are in the sample space?
4^5 = 1,024
Find the distance between the two points (-4, -2) and (-4, 3).
5
We have a line with a slope of 5. What is the slope of a line that is parallel to our line?
5
There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-folded person draws a blue piece of paper on the first attempt?
5 out of 100, which is 5/100 or 1/20 (5%)
What is the surface area of a sphere whose radius is 2 inches?
50 inches squared
What is the volume of a triangular pyramid that has a base area of 200 feet squared, a base perimeter of 60 feet, a height of 100 feet, and a slant height of 150 feet?
6,666.67 feet cubed
What is the volume of a triangular prism whose area of the base is 20 inches squared with a height of 3 inches?
60 inches cubed
What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?
7.96 square cm
You flip a coin and get heads 30 out of 100 times. What is the experimental probability of flipping tails the next time around?
7/10
The octahedron has how many sides?
8
What is the volume of the cube created by taking two 6 by 2 strips of paper, folding them into thirds, and using each third as a side of the square?
8 cubic inches
What is the area of the right triangle shown below?
96 feet squared
Locate point (-2, 2).
A
You are given the following set of outcomes for a coin-tossing experiment (note: T is tail and H is head). E = { TT, TH, HT } Describe the experiment that produced the event (E).
A coin is tossed twice. E is the event of tossing at least one tail.
Which of the following is in the shape of a cylinder?
A round candle
A cone with a side length of 9 inches and a radius of 3 inches has how much surface area?
About 113 inches squared
Which of the following statements is true?
All of the statements are true.
What can be used as reasons or backup for the steps in a geometry proof?
Already proven theorems and postulates
What does the B stand for in the formulas for surface area and volume of a prism?
Area of the base
If we want to find the surface area of the inside of a swimming pool with the dimensions 2 m deep x 10 m wide x 30 m long, then why is this surface area different from a rectangular prism with the dimensions 2 m deep x 10 m wide x 30 m long?
Because we're not finding the area of the surface of the water, just the rectangles that form the inside of the pool.
Which of the following is an example of a sphere?
Bubbles
Which of the following real world objects is not a polyhedron?
Car tire
Which of the following is not a polygon?
Circle
Which of the following is not a polyhedron?
Cone
What kind of base does a hexagonal pyramid have?
Hexagon
What shape is the base of a hexagonal prism?
Hexagon
With what do all geometry proofs begin?
Hypothesis
What kind of platonic solid is this?
Icosahedron
The point (1, -5) would be found where on the Cartesian plane?
In the lower-right quadrant
What can you take for granted when writing proofs?
Nothing
What is the special name for the coordinate (0,0)?
Origin
Which of the following is a cone?
Party hat
The dodecahedron has what kind of shape for its sides?
Pentagon
Which of the following is true?
Point b is ~0.45 units further away from c than a is.
What is the only measurement you need to find surface area and volume of spheres?
Radius
Which two measurements do you need to find the volume of a cone?
Radius and height
What can go in the second column of a geometry proof?
Reasons
A coin is tossed three times. For each toss, the possible outcomes are H (Heads) or T (Tails). What is the sample space for this experiment?
S = { TTT, TTH, THT, THH, HTT, HTH, HHT, HHH }
Theoretical probability is equal to:
The number of favorable outcomes divided by the total number of possible outcomes.
A tetrahedron has what kind of shape for its sides?
Triangle
The distance formula is a condensed version of:
a2 + b2 = c2
What is the Pythagorean Theorem and how is it used?
a2 + b2 = c2 ; it is used to find the length of a side of a right triangle when given the lengths for the other two sides
Which of the following choices is the distance formula?
d=x2-x1+y2-y1
The points on either end of a line segment are called _____.
endpoints
For this equation, what is the slope? y = mx + b
m
