Prove the following
cisthemidpointofbd
Method 1: If C is the midpoint of BD, prove BC ≡ CD
For any segment BD,
there exists a midpoint which divides the segment into two equal parts → Midpoint Definition
Since BC ≡ CD, then C is the midpoint of BD
Method 2: Prove C is the midpoint of BD
If a point is the midpoint of a segment
then it divides the segment into two equal parts → Midpoint Definition
Since BC ≡ CD, then C is the midpoint of segment BD
Final Answer
BC ≡ CD
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Free Proofs Calculator - Various Proofs in Algebra
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Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
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Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Proofs Calculator?
- axiom
- A statement accepted as true without proof. an unprovable rule or first principle accepted as true because it is self-evident or particularly usefu
- corollary
- A proposition formed from a proven proposition
- postulate
- A statement accepted as true without proof
- proof
- an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion
- theorem
- A statement provable using logic
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