Transformations
If a point is translated according to the rule (x,y)-> (x+3,y-2), what are the new coordinates of the point (-1, 4)?
(2,2)
If two angles are complementary, and one angle measures 35 degrees, what is the measure of the other angle?
55 degrees
What is the formula used to find the missing side of a right triangle when two sides are known?
The Pythagorean Theorem
Find the mode of this dataset: 4, 5, 5, 7, 8, 8, 8?
8
What is the probability of rolling an even number on a standard six-sided die? Express as a fraction.
3/6 or 1/2
What type of transformation flips a figure across a line to create a mirror image?
Reflection
When two parallel lines are cut by a transversal, what is the geometric relationship between alternate interior angles?
They are congruent (equal in measure)
Find the length of the hypotenuse of a right triangle if the legs are 6 cm and 8 cm.
10 cm
The mean of four test scores is 85. If three of the scores are 80, 85, and 90, what is the fourth test score?
85
If the probability of an event happening is 0.75, what is the probability of the event not happening?
.25 or 25%
A figure is rotated 180 degrees clockwise around the origin. If a vertex is originally at (3, 5), where will it land?
(-3,-5)
If the interior angles of a triangle are 62 and 48 degrees, what is the measure of the third angle?
70 degrees
What is the specific term for a triangle that has all three sides of equal length?
Equilateral Triangle
Which measure of central tendency—mean, median, or mode—is most heavily affected by an outlier in the data?
A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. If you pull out one marble at random, what is the probability it is not blue?
8/12 or 2/3
Which two types of transformations preserve the orientation (not just the size and shape) of a figure?
Translations and Rotations
Line A has a slope of 2/3. What is the slope of a line parallel to Line A?
2/3
In a 30 degrees-60 degrees-90 degrees right triangle, if the side opposite the 30 degrees angle is 5 inches, what is the length of the hypotenuse?
10 inches
In a dataset, the number 12 appears twice, 15 appears once, 10 appears three times, and 8 appears once. What is the mode of this data?
10
You flip a coin three times. What is the probability of getting heads all three times?
1/8 or 12.5%
What single sequence of transformations is equivalent to a reflection across the y-axis followed by another reflection across the x-axis?
A 180 degrees rotation around the origin
If Line B has a slope of 4/5, what is the slope of a line perpendicular to Line B?
5/4
Which criterion guarantees that two triangles are congruent if all three corresponding sides are equal?
SSS
What is the median of the following dataset: 3, 8, 5, 12, 7?
7
A statistics dataset has a median of 50, a lower quartile Q1 of 40, and an upper quartile Q3 of 65. What is the Interquartile Range (IQR)?
25