Coordinate Transformations
Master functions on the coordinate plane.
Translating Points
Negative Translations
Translating Shapes
Combining Translations
Undoing Translations
Level Review
Coordinate-wise Translation
Translating Shapes in x and y
Fitting within a Region
Level Review
Rotation Around the Origin
Rotating Shapes
Rotating Both Ways
Composing Rotations
Level Review
Rotating by 180°
Rotating by 90°
Rotating by 270°
Rotating by Coordinates
Level Review
Rotating before Translating
Rotating Around a Point
Rotating to Move
Translating before Rotating
Level Review
Translation by Rotation
Gridline Translations
Diagonal Translations
Selecting Angles
Limits of Rotation
Level Review
Reflecting Across Axes
Reflecting Across Lines
The Line of Reflection
Reflecting Shapes
Reflection to a Region
Reversing Reflection
Level Review
Reflecting Coordinates
Reflecting Vertices
Reflecting Across y=x
Reflecting Across y=-x
Choosing the Coordinate Reflection
Level Review
Reflecting to Translate
Reflecting to Rotate
Reflecting to Rotate by 90°
Rotation Around a Point
90° Rotation Around a Point
Level Review
Congruence
Proving Congruence
Reflectional Symmetry
Rotational Symmetry
Identifying Symmetry
Symmetry and Congruence
Level Review
Dilating Points
Dilating Shapes
Dilating and Translating
Dilating Around a Point
Dilating Points to Targets
Translating By Dilating
Dilations and Congruence
Similarity
Identifying Similarity
Stretching in One Direction
Stretching in Two Directions
Stretching Shapes
Transforming Points Into Targets
Up next
Exponential Functions
Build, combine, and simplify exponential and logarithmic functions.
Course description
In this course you'll manipulate points and shapes on the coordinate plane with translations, rotations, reflections and dilations. You'll learn to think of these transformations both intuitively and as algebraic functions applied to the x and y coordinates.
Topics covered
- Translation
- Rotation
- Reflection
- Dilation
- Stretching
- Composed and inverse functions
- Congruence and similarity
- Line and rotational symmetry
Prerequisites and next steps
Familiarity with the coordinate plane and basic functions is an expected pre-requisite. Next steps include further courses on functions and the polar and complex plane.