Accelerated Math 7: Chapter 2
Transformations
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Month 1 Week 3: 1.4-2.3
What are Congruent Figures?
Identifying Corresponding Parts of Congruent Figures
Introduction to Transformations (Overview of Translations, Reflections & Rotations)
What is a Translation?
Exploring Translations
Translating a Figure in the Coordinate Plane (by Counting Moves on a Graph)
Writing a Translation Rule/Equation
Translating a Figure Using Rules (See the Rules Cheat Sheet linked under Additional Resources below)
Translating a Figure Algebraically Using Coordinate Rules
What is a Reflection?
Reflecting a Figure In/Over the x-axis, the y-axis and the Line y = x Using Rules
What is a Rotation?
Rotating a Figure Around the Origin (remember that 90° counterclockwise is the same as 270° clockwise)
Rotations Around a Point that is NOT the Origin
Performing More than One Transformation (Composition of Transformations)
Performing More Than One Transformation (See the "Transformation Rules Cheat Sheet" linked under Additional Resources below)
Writing Rules for More than One Transformation from an Image
Identify a Sequence of Transformations from an Image
Overview of Congruent Figures and Similar Figures
Identifying Similar Figures
Finding an Unknown Measure in Similar Triangles
Finding an Unknown Measure in a Similar Figure Using a Scale Factor
Formulas for Area and Perimeter of Similar Figures
Determining Perimeters and Areas of Similar Figures
Using a Similarity Ratio (scale factor) to find Perimeter and Area of Similar Figures
What is a Dilation?
Determining if a Dilation is an Enlargement or a Reduction and Calculating a Scale Factor
Dilating a Figure
Some notes about Transformtion Rules:
Translations: T a, b (x, y) ➜ (x ± a, y ± b)
If the movement is RIGHT, then a is positive. If the movement is LEFT, then a is negative.
If the movement is UP, then b is positive. If the movement is DOWN, then b is negative.
Rotations:
a 90° clockwise rotation is the same as a 270° counterclockwise rotation: R (x, y) ➜ (y, -x)
a 90° counterclockwise rotation is the same as a 270° clockwise: R (x, y) ➜ (-y, x)