Congruent Triangle Proofs, Study notes of Geometry

Statements. Reasons. ̅̅̅̅ ̅̅̅̅, G is the midpoint of ̅̅̅̅. Given. Perpendicular lines form congruent right angles. ̅̅̅̅. ̅̅̅̅. Definition of midpoint.

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Congruent Triangle Proofs
Complete each proof.
1. Given:
bisects
, , and
Prove:
Statements
2. Given:
, G is the midpoint of
Prove:
Statements
3. Given:
,
bisects
Prove:
Statements
pf3
pf4

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Congruent Triangle Proofs

Complete each proof.

  1. Given: ̅̅̅̅ bisects ̅̅̅̅ , , and

Prove:

Statements Reasons

  1. Given: ̅̅̅̅̅̅̅̅ , G is the midpoint of̅̅̅̅

Prove:̅̅̅̅̅̅̅̅

Statements Reasons

  1. Given: ̅̅̅̅̅̅̅̅ , ̅̅̅̅ bisects

Prove:

Statements Reasons

  1. Given: ̅ is an altitude of and L is the midpoint of̅̅̅̅̅

Prove:

Statements Reasons

  1. Given: ̅ is an altitude of and L is the midpoint of̅̅̅̅̅

Prove:

Statements Reasons ̅̅̅ is an altitude of and L is the midpoint of ̅̅̅̅̅

(^) Given ̅̅̅ ̅̅̅̅̅ Definition of altitude Perpendicular lines form congruent right angles ̅̅̅̅̅ ̅̅̅̅ Definition of midpoint ̅̅̅ ̅̅̅ Reflexive property SAS Corresponding Parts of Congruent Triangles are Congruent