Dilations, Similarity, & Slope
A transformation that changes the size but not the shape of a geometric figure.
What is a dilation
What is the slope-intercept form of a linear equation?
What is y = mx + b
A rigid transformation that slides a figure horizontally, vertically, or both
What is a translation
The mathematical formula used to find the missing side length of a right triangle
What is a^2 + b^2 = c^2
What does the solution to a system of linear equations represent on a graph
What is the point where the lines intersect
The fixed point from which all points are enlarged or reduced in a dilation.
What is the center of dilation
Whats the slope of the linear equation y = -3x + 5
What is -3
A transformation that flips a figure across a line, creating a mirror image
What is reflection
The name of the longest side of a right triangle, which is always located directly across from the right angle
What is the hypotenuse
How many solutions does a system of linear equations have if the lines are parallel
What is zero solutions
If a shape is dilated by a scale factor of 3, its original area is multiplied by this number.
What is 9
Whats the slope of a line that passes through the points (1,2) and (3,6)?
What is 2
A rigid transformation that turns a figure around a fixed central point
If the two shorter sides of a right triangle measure 3 inches and 4 inches, this is the length of the hypotenuse.
What is 5 inches
What is the slope of a line that passes through the points (1, 2) and (3, 6)?
What is m = 2
This describes a line whose slope is a negative number.
What is going down
Whats the slope of a horizontal line.
What is 0
This is the primary characteristic that makes a transformation "rigid"—meaning the size and shape of the figure do not change
What is congruence
In the equation a^2 + b^2 = c^2, this letter always represents the hypotenuse.
What is c
What is the standard form of a linear equation
What is Ax + By = C