1. Two-Column Triangle Proofs
Move the “statements” and “reasons” around to correctly complete each proof.
Once completed, have Mrs. Honeycutt check over your answers.

2. Statement
Reason

3. Statement Reason G is the midpoint of 𝐹𝐻 . Given ∆𝐹𝐺𝐸≅∆𝐻𝐺𝐸
G is the midpoint of 𝐹𝐻 .
Given
∆𝐹𝐺𝐸≅∆𝐻𝐺𝐸
Reflexive Property
𝐹𝐺 ≅ 𝐺𝐻 .
Definition of midpoint
Corresponding parts of congruent triangles are congruent (CPCTC).
𝐸𝐹 ≅ 𝐸𝐻 .
<1≅<2
Given
𝐸𝐺 ≅ 𝐸𝐺 .
SSS

4. Statement
Reason
Corresponding parts of congruent triangles are congruent (CPCTC).
<X and <R are right angles
<𝑋𝑀𝑄≅<𝑅𝑀𝑇
ASA
𝑋𝑄 ⊥ 𝑋𝑅 ; 𝑅𝑇 ⊥ 𝑋𝑅
Given
∆𝑋𝑀𝑄≅∆𝑅𝑀𝑇
Vertical angles are congruent
𝑄𝑇 bisects 𝑋𝑅
Definition of bisects
𝑋𝑀 ≅ 𝑀𝑅
Definition of perpendicular.
<𝑄≅<𝑇
All right angles are congruent.
<𝑋≅<𝑅
Given