IM Geo.6.3 Lesson: Types of Transformations
Point was transformed using the coordinate rule .
Add these auxiliary points and lines to create 2 right triangles: Label the origin . Plot points and . Draw segments , , and .
How do triangles and compare? How do you know?
What must be true about the ratio ?
Match each image to its rule.
Then, for each rule, decide whether it takes the original figure to a congruent figure, a similar figure, or neither. Explain or show your reasoning.
Here is triangle A. Reflect triangle A across the line x=2.
Write a single rule that reflects triangle across the line .
Write a rule that will transform triangle to triangle .
Are and congruent? Similar? Neither? Explain how you know.
Write a rule that will transform triangle to triangle .
Are and congruent? Similar? Neither? Explain how you know.