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Course: High school geometry?>?Unit 3
Lesson 2: Triangle congruence from transformations- Proving the SSS triangle congruence criterion using transformations
- Proving the SAS triangle congruence criterion using transformations
- Proving the ASA and AAS triangle congruence criteria using transformations
- Why SSA isn't a congruence postulate/criterion
- Justify triangle congruence
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Justify triangle congruence
Problem
Below are and . We assume that , , and .
Here is a rough outline of a proof that :
- We can map
using a sequence of rigid transformations so that and . - If
and are on the same side of , then . - If
and are on opposite sides of , then we reflect across and then , and .
What is the justification that in step 2?
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