Transformations
Triangle ABC has vertices at A (2, 3) B (4, 5) C (5, 2). What will be the coordinates of A'B'C' after a translation 4 units to the right and 2 units down?
B' (8, 3)
C' (9, 0)
The first step in solving for x on a regular transversals problem.
Determine The Relationship
Which of the following describes negative association?
A.) As x increases, y increases
B.) As x decreases, y decreases
C.) As y decreases, x decreases
D.) As x increases, y decreases
D.) As x increases, y decreases
36
The main character in a story
Protagonist
Triangle DEF has vertices at D (4, -3) E (-2, 5) F (1, -6). The triangle will be reflected over the y-axis. What will be the coordinates of D'E'F'?
D (-4, -3)
E (2, 5)
F (-1, -6)
When two angles on a transversal look similar in size, they are considered to be equal to one another. What is another word for this?
Congruent
When asked to pick the equation that best fits a scatter plot, this is the first question that you should ask yourself.
Is the slope (association) positive or negative?
What is the rate of change for a line that passes through the points (2, 9) and (-1, 3)?
2 (positive)
The Civil War
Triangle XYZ is going to be dilated about the origin with a scale factor of 1/2. If the Triangle has vertices at X (4, -6) Y (-2, 8) Z (-4, -2), what will be the new coordinates of X'Y'Z'?
X' (2, -3)
Y' (-1, 4)
Z' (-2, -1)
What does it mean when two angles on a transversal are different in size so they are classified as "supplementary"?
They add together to equal 180 degrees.
Math teachers collected data recording how long students studied for their EOG and what score that they made. If x represents the number of hours studied and y represents a student's score, identify the data point that is an outlier as well as the type of association.
(4, 65), (3, 60), (8, 85), (10, 30), (1, 50), (9, 90), (2, 55), (5, 70), (6, 75).
Outlier --> (10, 30)
Association --> Positive
A line passes through the points (1, 4) and (5, 8). A second line passes through the points (2, 10) and (6, 4). At what point do the two lines intersect?
(4, 7)
The gas that plants use during photosynthesis
Carbon Dioxide
Triangle ABC has vertices A (2, 3) B (4, 5) C (5, 1). After being rotated 90 degrees counterclockwise about the origin, what will be the coordinates of A'B'C'?
A' (-3, 2)
B' (-5, 4)
C' (-1, 5)
Two parallel lines are being cut by a transversal. Two congruent angles are given. <1 is represented by the expression 5x - 4. <2's measure is 2x + 8.
What is the value of x?
x = 4
The points P (3, -2), Q (10, -2), and R (3, -8) are the vertices of a triangle. What is the approximate length of side RQ? (Round to nearest tenth)
9.2
What is the only continent that is also a country?
Australia
Triangle DEF will be rotated 180 degrees about the origin. Find the coordinates of D'E'F if the pre-image had vertices at D (5, -3) E (-2, 7) F (-6, -1).
D' (-5, 3)
E' (2, -7)
F' (6, 1)
You are given a normal parallel lines cut by a transversal problem and the two given angles look different in size. Find the value of x if the measure of <1 is 5x - 10 and the measure of <2 is 6x - 30.
x = 20
A cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approximate volume of the barrel? (Round to the nearest whole number)
226
The largest internal organ in the human body.
The liver.