Geometry Unit Form A Review Geometry Unit 2-2 Review
Form A – 44 Total Points
G.GF.3
Total
Name:
Section 1- GCR's Postulates
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
#1 Given
Conclusion
Reason
AB ≅ CD, FB ≅ DH
∠BAD ≅ ∠CDA, ∠1 ≅ ∠6
AD ≅ BC, ED ≅ GC
AF ≅ FB, FB ≅ DH
∠BGD ≅ ∠CGA, ∠8 ≅ ∠9
E is midpoint of AD, G is midpoint of BC, AE ≅ BG
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
Standard G.GF.3 – Score out of 14 -
Section 2- GCR's Definitions
E D B C A 1 2 3 4 5 6 7 8
ED BC A 1 2 3 4 5 6 7 8
Given
Conclusion
Reason
ED ⊥ DC
BD Bisects EC
EC Bisects ∠BED
∠EBC is Right
A is the midpoint of BD
ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8
Standard G.GF.3 – Score out of 12 -
Section 3- GCR's Postulates and Definitions
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
#3 Given
Conclusion
Reason
BD ≅ CE
AD Bisects ∠CAE
∠BCA is supplementary to ∠3
∠1 ≅ ∠6, ∠2 ≅ ∠5
∠7 ≅ ∠9
C is the midpoint of BD
∠4 is an acute ∠
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
Standard G.GF.3 – Score out of 18 -
Geometry Unit Form A Review Key Geometry Unit 2-2 Review
Answer Key
Form A – Teacher Scoring Guide (44 Points Total)
G.GF.3 14 Pts
Total 44 Pts
Section 1- GCR's Postulates
14 Pts (Row 5 is 4 pts; others 2 pts)
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
#1 Given
Conclusion
Reason
AB ≅ CD, FB ≅ DH
AF ≅ CH (or AF ≅ HC)
Segment Subtraction Postulate
∠BAD ≅ ∠CDA, ∠1 ≅ ∠6
∠2 ≅ ∠5
Angle Subtraction Postulate
AD ≅ BC, ED ≅ GC
AE ≅ BG
Segment Subtraction Postulate
AF ≅ FB, FB ≅ DH
AF ≅ DH
Substitution (or Transitive)
∠BGD ≅ ∠CGA, ∠8 ≅ ∠9
∠BGE ≅ ∠CGE
∠7 ≅ ∠10
Angle Subtraction Postulate
Angle Subtraction Postulate
E is midpoint of AD, G is midpoint of BC, AE ≅ BG
AD ≅ BC
Halves Postulate (or Multiplication Prop)
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
Standard G.GF.3 – Total Section 1: 14 Points Accept symmetric naming (e.g. ∠EGB for ∠BGE, CA for AC)
Section 2- GCR's Definitions
Form A Answer Key
12 Points Total
E D B C A 1 2 3 4 5 6 7 8
ED BC A 1 2 3 4 5 6 7 8
Given
Conclusion
Reason
ED ⊥ DC
∠EDC is a right ∠
Definition of Perpendicular Lines
BD Bisects EC
EA ≅ AC
Definition of Segment Bisector
EC Bisects ∠BED
∠1 ≅ ∠2
Definition of Angle Bisector
∠EBC is Right
m∠EBC = 90°
Definition of Right Angle
A is the midpoint of BD
BA ≅ AD
Definition of Midpoint
ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8
Standard G.GF.3 – Total Section 2: 12 Points Full credit for congruent segment or equal measure notation
Section 3- GCR's Postulates and Definitions
Form A Answer Key
18 Points Total (Rows 1 & 5 are 4 pts; others 2 pts)
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
#3 Given
Conclusion
Reason
BD ≅ CE
CD ≅ CD
BC ≅ DE
Reflexive Property
Segment Subtraction Postulate
AD Bisects ∠CAE
∠8 ≅ ∠9
Definition of Angle Bisector
∠BCA is supplementary to ∠3
m∠BCA + m∠3 = 180° (or m∠2 + m∠3 = 180°)
Definition of Supplementary Angles
∠1 ≅ ∠6, ∠2 ≅ ∠5
∠BAC ≅ ∠DAE (or ∠7 ≅ ∠9)
Angle Subtraction Postulate
∠7 ≅ ∠9
∠8 ≅ ∠8
∠BAD ≅ ∠EAC
Reflexive Property
Angle Addition Postulate
C is the midpoint of BD
BC ≅ CD
Definition of Midpoint
∠4 is an acute ∠
m∠4 < 90° (or 0° < m∠4 < 90°)
Definition of Acute Angle
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
Standard G.GF.3 – Total Section 3: 18 Points Grand Total Form A: 14 + 12 + 18 = 44 Points
Geometry Unit Form B Test Geometry Unit 2-2 Test
Form B – 44 Total Points
G.GF.3
Total
Name:
Section 1- GCR's Postulates
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
#1 Given
Conclusion
Reason
AD ≅ BC, AE ≅ BG
∠1 ≅ ∠2, ∠2 ≅ ∠5
F is midpoint of AB, H is midpoint of DC, AB ≅ DC
∠BGE ≅ ∠AGD
AF ≅ DH, FB ≅ HC
∠1 ≅ ∠6, ∠2 ≅ ∠5
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
Standard G.GF.3 – Score out of 14 -
Section 2- GCR's Definitions
E D B C A 1 2 3 4 5 6 7 8
E D B C A 1 2 3 4 5 6 7 8
Given
Conclusion
Reason
BD Bisects ∠EDC
A is the midpoint of EC
EB ⊥ BC
EA Bisects BD
∠EDA is Acute
ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8
Standard G.GF.3 – Score out of 12 -
Section 3- GCR's Postulates and Definitions
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
#3 Given
Conclusion
Reason
AC Bisects ∠BAD
BC ≅ DE
∠CDE is a straight ∠
∠BAD ≅ ∠EAC
D is the midpoint of CE
∠4 is supplementary to ∠5
∠2 ≅ ∠4, ∠3 ≅ ∠5
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
Standard G.GF.3 – Score out of 18 -
Geometry Unit Form B Key Geometry Unit 2-2 Test
Answer Key
Form B – Teacher Scoring Guide (44 Points Total)
G.GF.3 14 Pts
Total 44 Pts
Section 1- GCR's Postulates
14 Pts (Row 4 is 4 pts; others 2 pts)
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
#1 Given
Conclusion
Reason
AD ≅ BC, AE ≅ BG
ED ≅ GC
Segment Subtraction Postulate
∠1 ≅ ∠2, ∠2 ≅ ∠5
∠1 ≅ ∠5
Substitution
F is midpoint of AB, H is midpoint of DC, AB ≅ DC
AF ≅ DH (or FB ≅ HC)
Halves
∠BGE ≅ ∠AGD
∠8 ≅ ∠8
m∠7 = m∠9
Reflexive
Angle subtraction
AF ≅ DH, FB ≅ HC
AB ≅ DC (or AB ≅ CD)
Segment Addition Postulate
∠1 ≅ ∠6, ∠2 ≅ ∠5
∠BAD ≅ ∠CDA
Angle Addition Postulate
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
A E D F H B G C 1 2 3 4 5 6 7 8 9 10
Standard G.GF.3 – Total Section 1: 14 Points Accept symmetric naming (e.g. ∠EGB for ∠BGE, CA for AC)
Section 2- GCR's Definitions
Form B Answer Key
12 Points Total
E D B C A 1 2 3 4 5 6 7 8
E D B C A 1 2 3 4 5 6 7 8
Given
Conclusion
Reason
BD Bisects ∠EDC
∠3 ≅ ∠4
Definition of Angle Bisector
A is the midpoint of EC
EA ≅ AC
Definition of Midpoint
EB ⊥ BC
∠EBC is a right ∠
Definition of Perpendicular Lines
EA Bisects BD
BA ≅ AD
Definition of Segment Bisector
∠EDA is Acute
m∠EDA < 90°
Definition of Acute Angle
ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8 ED BC A 1 2 3 4 5 6 7 8
Standard G.GF.3 – Total Section 2: 12 Points Full credit for congruent segment or equal measure notation
Section 3- GCR's Postulates and Definitions
Form B Answer Key
18 Points Total (Rows 2 & 4 are 4 pts; others 2 pts)
A B C D E 1 2 3 4 5 6 7 8 9 A B C D E 1 2 3 4 5 6 7 8 9
#3 Given
