Download Geometry Informal and Two-Column Proofs Two

Geometry
Informal and Two-Column Proofs
Two Column Proofs Assignment
Total Points = 40
This proof is worth 10 points. Each blank is worth 2 points.
Fill in the blanks in the proof below:
A
B
C
D
E
G
F
H
Given: CD⊥ AE and CD||GH ; Prove: GH⊥ AF .
Statement
CD⊥ AE
Reason
Given
CD||GH
∠ABD is a right angle
given
∠ABD and ∠GEF are alternate exterior
angles
∠ABD ≅ ∠GEF
Given
∠GEF is a right angle
All right angles are congruent
<EBD is a right angle
Definition of alternate exterior angles
Given
This proof is worth 30 points, 15 points for statements, 15 points for reasons
A
B
F
G
C
E
D
Given: m∠EGF = 60° and m∠AGF = 90° ; Prove: m∠AGB = 30° .
<AGC is a right angle
< AGC and <FGA is supplementary
<AGB Is a Acute
Given
Given
Less than 90 Degress