Transformations
What is a translation?
A transformation that slides a figure from one position to another without turning it.
Solve for x: 2x+3=11.
x=4
What is a transversal?
A line that intersects two or more lines at different points.
What is the slope of a line?
rise over run, y over x
What is a function?
A relation where each input has exactly one output.
What happens to the coordinates of a point when it is reflected over the x-axis?
The y-coordinate changes sign.
What is the first step to solve the equation 3(x−2)=12?
Distribute the 3 to get 3x−6=12.
What are corresponding angles?
Angles that are in the same position at each intersection where a transversal crosses two lines.
Given the slope-intercept form y=mx+b, what does m represent?
slope
In the function f(x)=2x+3, what is the output when x=4?
f(4) = 11
Describe a dilation.
A transformation that changes the size of a figure but not its shape.
Solve for y in the equation 4y−8=0.
y=2
If two parallel lines are cut by a transversal, what can you say about the alternate interior angles?
They are equal.
Calculate the slope between the points (2, 3) and (4, 7).
m = 2
How do you interpret the rate of change in a linear function?
It is the slope of the line, indicating how much y changes for a unit change in x.
If a triangle is rotated 90 degrees clockwise about the origin, what would happen to its coordinates?
The coordinates (x, y) become (y, -x).
What is the solution to the multi-step equation 5x+2=3x+10?
x=4
Identify the angles formed when a transversal cuts two parallel lines.
Corresponding angles, alternate interior angles, and consecutive interior angles.
What does the y-intercept represent in the equation y=mx+b?
b = y-intercept
What is the domain of a function?
The set of all possible input values (x-values).
How do you determine if a transformation is rigid or non-rigid?
A transformation is rigid if it preserves the shape and size, while non-rigid does not.
If (2(x - 3) + 4 = 0, what is the value of x?
x=1
If two lines are cut by a transversal and the same-side interior angles are supplementary, what can you conclude about the lines?
The lines are parallel.
If a line has a slope of -3, what direction does it go?
left to right, it goes down
Graph the function y=−x+2. Describe its slope and y-intercept.
The slope is -1 and the y-intercept is 2.