Accelerated Math 7: Chapter 2

Transformations

Video Tutorials

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

Additional Resources

Transformation Rules Cheat Sheet.pdf

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)

Transformation Handouts (you will be given copies of these in class)

Common Core State Standards (CCSS)

2.2 Translations (CCSS 8.G.1, 8.G.2, 8.G.3)

2.3 Reflections (CCSS 8.G.1, 8.G.2, 8.G.3)

2.4 Rotations (CCSS 8.G.1, 8.G.2, 8.G.3)

2.5 Similar Figures (CCSS 8.G.4)

2.6 Perimeters and Areas of Similar Figures (CCSS 8.G.4)

2.7 Dilations (CCSS 8.G.3, 8.G.4)

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