Transformations
Rules of Transformations
Transversal
Mixed Units
Mixed Units II
100
Define a Translation
A slide (up, down, left or right) on a coordinate plane. Size is the same!
100
How many ways can you express Translation?
Three Ways Verbal: Left 3, Up 2 Translation Notation: T(-3,2) Math Equation: (x -3, y+2)
100
Define Interior Angles
Angles inside the parallel lines
100
What is slope-intercept form and what are the parts
Y=mx +b (m is the slope & b is the y-intercept)
100
Formula for the volume of a cone?
V = 1/3pi r^2 height
200
Define Reflection, name types of reflections we learned/practiced
Mirror image of pre-image; reflection over the x-axis and y-axis
200
What are the rules for reflection over the x-axis? Reflection over the y-axis?
Reflection over x-axis: (x, -y) Reflection over y-axis: (-x, y)
200
Define Exterior Angles
Angles outside the parallel lines
200
Define Congruence & Similarity in relation to transformations
Congruence: two figures that are identical using reflection, rotation and translation Similarity: two figures that are not identical, same shape but change in size
200
What is the slope formula?
m = y2 - y1/x2 - x1
300
Define a Rotation
The turn of a figure either about the origin or about a point
300
What are the rules for Rotation 180? Rotation 90 clockwise? Rotation counterclockwise?
Rotation 180: (x,y) -> (-x, -y) Rotation 90 Clock. (x,y) -> (y, -x) Rotation 90 CC: (x, y) -> (-y, x)
300
Define Alternate Interior Angles
Angles that are within the parallel lines on the opposite sides
300
What is the Volume of a cylinder formula?
V = pi r^2 times height
300
What is the volume of a sphere?
V =4/3(pi)(r^3)
400
Define Dilation
Enlarge/Reduce the figure
400
Explain the rule for Dilation using example Dilation (3,4) by scale factor of 3
(x,y) -> (kx,ky) (3,4) -> (9, 12)
400
Define Alternate Exterior Angles
Angles outside the parallel lines on opposite sides
400
Define Angle-Angle (AA) Similarity
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
400
Describe the types of Correlation and provide examples
Positive Correlation Negative Correlation No Correlation
500
Ultimately, define Transformations
An operation that maps an original geometric figure with the pre-image with the image.
500
Which rotation is equivalent to Rotation 270 degrees?
Rotation 270 is equal to Rotation 90 degrees counterclockwise.
500
Define a Transversal
Two parallel lines intersected by another line forming 8 angles
500
If a scatterplot is said to be linear, describe it If a scatterplot is said to be nonlinear, describe it What is an outlier?
Linear: Data points lie close to a line Nonlinear: Data points lie in the shape of a curve Outlier: Point outside the cluster of the other points
500
Define Direct Variation and provide the example on the equation
A proportional relationship between x and y values. Line goes directly through the origin. Y=mx
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