Isometric Transformations
What is the transformation where a figure is moved from one position to another without changing its shape or size?
translation
What is the transformation that enlarges or reduces a figure while maintaining its shape and proportionality?
dilation
What is a proportional relationship?
a line that passes through the origin
What type of graph is used to display the relationship between two numerical variables?
scatter plot
What is Ms. R's first name?
Rebecca
When a figure is rotated 90 degrees clockwise around the origin, which direction does the point (3, 2) move to?
(2, -3)
In a dilation, if the scale factor is greater than 1, what happens to the size of the figure?
figure becomes larger
If the ratio of the number of apples to oranges is 3:4, and you have 6 apples, how many oranges do you have?
8 oranges
If a scatter plot shows a downward trend from left to right, what type of association is represented?
negative association
If a recipe calls for 2 cups of flour for every 3 cups of sugar, how much flour will you need if you have 9 cups of sugar?
6 cups of flour
If you reflect the point (4, 5) across the y-axis, what will the new coordinates be?
(-4, 5)
If a figure is dilated with a scale factor of 1/2, what happens to the size of the figure?
Which of the following is a proportional relationship:
a) y=2x
b) y=x+3
c) y=x2
y=2x
You have data showing the number of hours studied and the test scores of a group of students. Which graph would be best for seeing if more study hours lead to higher scores?
scatter plot
You are looking at a scatter plot where the data points show the relationship between the number of hours worked and money earned. What type of relationship would you expect to see?
a positive association
After a reflection over the line y = x, the point (2, 3) becomes which new coordinates?
(3, 2)
When a dilation is performed with a center at the origin and a scale factor of 3, what will happen to the point (2, 4)?
(6, 12)
If a car travels 60 miles in 1 hour, how far will it travel in 4 hours at the same rate? (include units)
240 miles
After analyzing a scatter plot, you notice that the data points generally follow a straight line. What might you use to summarize this trend?
the line of best fit
After plotting data on a scatter plot and drawing a fitted line, you notice the points are scattered around the line with no clear trend. What might this indicate about the relationship between the variables?
there is no correlation/association between the variables
What word is used to describe two figures that have the same size and shape?
congruent
If two triangles are similar, what can be said about their corresponding angles?
their corresponding angles are congruent
What is the slope of the line that passes through the points (2, 3) and (4, 7)?
2
Why would you choose to use a scatter plot to represent two variables?
to observe the relationship or trend between the two variables
John is buying pens and notebooks for his office. Each pen costs $3, and each notebook costs $5. John wants to spend exactly $70. Let x represent the number of pens and y represent the number of notebooks.
3x+5y=70
How can you prove that two triangles are congruent using rigid transformations?
translations, rotations, or reflections
If a dilation has a scale factor of 2, and a triangle has sides of length 3, 4, and 5, what are the side lengths of the dilated triangle?
6, 8, and 10
Write the equation of a line that has a slope of 3 and passes through the point (1, 2).
y=3x-1
What kind of data is typically used to create a scatter plot?
numerical data points
Maria is organizing a charity event: adult tickets at $10 each and child tickets at $5 each. Each adult ticket includes a free refreshment, while each child ticket comes with a $3 refreshment. The total cost of tickets and refreshments should be $400.
10x+8y=400
What is the angle relationship called when two angles add up to 180 degrees?
supplementary angles
What is the definition of slope in terms of height and base?
slope = (height)/(base)
Solve the equation 3x+4y=12
solve for y.
y=-3/4x+3
In a two-way table showing students' preferred activities and their grade levels, what can you learn from the row totals?
total number of students in each grade level
When was the first day Ms.R took over this class?
September
If two lines are intersected by a transversal, and a pair of angles are congruent, what type of angle pair are they?
vertical angles
Using the slope triangle method, if a line passes through the points (1, 2) and (4, 8), what is the slope of the line?
Solve for y:
2x+3y=6
y=-2/3x+2
A segmented bar graph shows the percentage of students in different grade levels who prefer different types of music. What can you identify from this graph?
association between grade level and music preference
solve for x: 3(2x - 4) = 18
x=5