Chapter 7/8: Congruence Through Transformations
Overview:
This unit explores geometric transformations and applies these concepts to congruency between geometric figures.
This unit explores geometric transformations and applies these concepts to congruency between geometric figures.
Common Core Learning Standards:
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
- 8.G.1. Verify experimentally the properties of rotations, reflections, and translations:
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
- 8.G.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
- 8.G.3. Describe the effect of dilations, translations, rotations and reflections on 2 dimensional figures using coordinates.
LESSONS 7.1-7.4: LEARNING GOALS
Properties of Transformations:
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Documents & Files
Ch 7 Guided Notes From Class
m8_ch7_notes.pdf |
Chapter 7 Practice Test & Answer Key
transformations_test_practice_key.pdf |
Extra Resources
VIDEOS:
Khan Academy Intro to Geometric Transformations
7.1:Translations
What is a translation?
How do you use a graph to translate a figure horizontally?
How do you use coordinates to translate a figure horizontally?
How do you use a graph to translate a figure vertically?
How do you use coordinates to translate a figure vertically?
7.3: Rotations on the coordinate plane
What is a rotation?
How do you rotate a figure 90 degrees about the origin?
How do you rotate a figure 180 degrees about the origin?
How do you rotate a figure 270 degrees about the origin?
7.4: Reflections on the coordinate plane
What is a reflection?
What is a line of reflection?
How do you use a graph to reflect a figure over the x-axis?
How do you use coordinates to reflect a figure over the x-axis?
How do you use a graph to reflect a figure over the y-axis?
How do you use coordinates to reflect a figure over the y-axis?
Khan Academy Intro to Geometric Transformations
7.1:Translations
What is a translation?
How do you use a graph to translate a figure horizontally?
How do you use coordinates to translate a figure horizontally?
How do you use a graph to translate a figure vertically?
How do you use coordinates to translate a figure vertically?
7.3: Rotations on the coordinate plane
What is a rotation?
How do you rotate a figure 90 degrees about the origin?
How do you rotate a figure 180 degrees about the origin?
How do you rotate a figure 270 degrees about the origin?
7.4: Reflections on the coordinate plane
What is a reflection?
What is a line of reflection?
How do you use a graph to reflect a figure over the x-axis?
How do you use coordinates to reflect a figure over the x-axis?
How do you use a graph to reflect a figure over the y-axis?
How do you use coordinates to reflect a figure over the y-axis?