WorksheetsTransformations and Probability Just in Time Quick Checks
Total questions: 16
Worksheet time: 39mins
Complete sections a and b using the coordinate plane below. The vertices of the triangle shown have integral coordinates. Identify the coordinates of the image of triangle RST after a translation 5 units to the right.
R'(4,2)
S'(2,2)
T'(4,4)
R'(3,2)
S'(1,2)
T'(1,4)
R'(-1,2)
S'(-3, 2)
T'(-1,4)
Complete sections a and b using the coordinate plane below. The vertices of the triangle shown have integral coordinates. Identify the coordinates of the image of triangle RST after a reflection over the x-axis.
R'(4,2)
S'(2,2)
T'(4,4)
R'(1,2)
S'(3,2)
T'(1,4)
R'(-1,-2)
S'(-3, -2)
T'(-1,-4)
R'(-1,2)
S'(-3,2)
T'(-1,4)
Triangle XYZ is shown on the grid. Reflect triangle XYZ across the y-axis and then translate up 4 units. What are the coordinates of Z’?
Z'(2,-1)
Z'(2,3)
Z'(-2,3)
Z'(-2,-1)
The vertices of the rectangle shown have integral coordinates. Translate rectangle ABCD 3 units down and 4 units to the left. Graph the image of rectangle ABCD.
The vertices of triangle ABC are located at (1, 2), (1, 5), and (5, 2). Graph the image of triangle ABC after a reflection over the x-axis.
Describe the transformations that could be applied to figure WXYZ that will result in the figure W’X’Y’Z’.
Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form.
63
21
41
61
The sides of a fair number cube are labeled 1, 2, 3, 4, 5, and 6. What is the theoretical probability that the number cube will land with the number 5 facing up?
61
65
21
51
Max has eight circular chips that are all the same size and shape in a bag. Max reaches into the bag and removes one circular chip. What is the theoretical probability that the circular chip has a star on it? Write your answer as a fraction, decimal, and percent
0.5
85
5%
0.625
63%
A school principal wants to place a gift card inside one randomly selected 7th grade student’s locker from those shown. What is the theoretical probability of the student’s locker having a number that is a multiple of 3?
83
41
81
85
21
Tamara rolled a fair number cube with sides labeled 1, 2, 3, 4, 5, and 6. The table shows the results of rolling the fair number cube 20 times. Determine the experimental probability that the number landing face up is a five. Simplify your fraction if needed.
2
202
101
51
A bag contained one red, one blue, and one green ball. Each ball in the bag is the same size and shape. Mr. Smith selected a ball from the bag without looking, recorded the color, and returned the ball to the bag. He did this four times, and the results were red, green, blue, green. Determine the experimental probability of Mr. Smith selecting a red ball from the bag.
Matthew has a spinner that is divided into three congruent sections. He spins the arrow on the spinner 100 times and records the section on which the arrow lands. His results are shown in the table. Based on these results, is the theoretical probability of the arrow landing on the shaded section greater than, less than, or equal to the experimental probability of the arrow landing on the shaded section?
greater than
less than
equal to
A bag of equally-sized marbles contains 6 green marbles, 8 blue marbles, and 10 red marbles. Amber reached in the bag picked a marble without looking, recorded its color, and returned the marble to the bag. Her data is recorded in the table. Based on these results, which color marble has an experimental probability equal to its theoretical probability? Explain your reasoning.
Ashley rolled a fair number cube. The results of 10 rolls are shown. Ashley will roll the fair number cube an additional 1000 times. Should she expect the experimental probability of the fair number landing with a 4 facing up to increase or decrease?
increase to 1/6
decrease to 1/6
increase to 1/10
decrease to 1/10
John found a fair coin with a positive sign on one side and a negative sign on the other. He flipped the fair coin 6 times, and the results are shown. If the coin is flipped an additional 100 times, John should expect the experimental probability of the coin landing with a positive sign face up to get closer to _______%.
50%
75%
33%
25%
