Mathematics — first biennium · Lesson
In proofs you must use only given data or already proved properties, not what you are still trying to prove.
In this lesson: Use the isosceles property and its converse and complete simple proof steps through congruence.
How to proceed: You have three pairs of congruent sides, so use SSS. After congruence you may conclude that corresponding vertex angles are congruent.
You can already assume: Triangle congruence criteria.
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You have three pairs of congruent sides, so use SSS. After congruence you may conclude that corresponding vertex angles are congruent.
Given data: ABC is isosceles with AB=AC. D is the midpoint of BC, so BD=DC; AD is common.
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