2.3 #1-4, 8, 10, 11, 12, 13
 
AB ⊥ BC
1. Given:
Conclusion: 1. ∠ B is a rt ∠
  2. ∠ B = 90
1. AB ⊥ BC
2. ∠ B is a rt ∠
3. ∠ B = 90
1. Given
2. If 2 lines are ⊥ , => they meet at a rt ∠
3. If ∠ =90 => rt ∠
2. Given:
∠ DEF is comp to ∠ HEF
Conclusion: 1. ∠ DEH is a rt ∠
2. ∠
DEH
 =90
3. EH ⊥ ED
1. ∠ DEF is comp to ∠ HEF
2. ∠ DEH is a rt ∠
3. ∠
DEH
 =90
4. EH ⊥ ED
1.
2.
3.
4.
Given
If 2 ∠ s are comp => their sum is a rt ∠
If rt ∠ = 90
If 2 lines intersect to form rt ∠ => they are ⊥
∠
≅ ∠ YXZ
3. Given:
WXZ
Conclusion: XY bisects ∠ WXY
≅ ∠ YXZ
1. ∠
WXZ
2. XY bisects ∠ WXY
1. Given
2. If a ray divides an ∠ into 2 ≅


QS & QT trisect ∠ PQR
1. ∠ RQS ≅ ∠ SQT ≅ ∠ TQP

2. QS bisects ∠ RQT OR

2. QT bisects ∠ SQP


1. Given
QS
&
QT
1.
trisect ∠ PQR
2. If two rays divides an
2. ∠ RQS ≅ ∠ SQT ≅ ∠ TQP
∠ s => it bisects the original ∠
4. Given:
Conclusion:

3. QS bisects ∠ RQT OR

QT bisects ∠ SQP

8. Given: WZ bisects VY
Conclusion:
1. VZ ≅ ZY
2. Z is the mdpt of VY
3. Z bisects VY

10. Given: CG bisects BD
Conclusion:
1. BF ≅ FD
2. F is mdpt of BD
∠
3. If a ray divides an
∠ into 3 ≅ ∠ s => it trisects the original
∠ into 2 ≅ ∠ s => it bisects the original ∠
Reason:
1. If a line bisects a segment => it divides the segment into 2 ≅
segments
2. If a line bisects a segment => point of intersection is the mdpt
3. If a point is mdpt => it bisects the segment
Reason:
1. If a line bisects a segment => it divides the segment into 2 ≅
segments
2. If a line bisects a segment => point of intersection is the mdpt
11. Given: ∠ AEN ≅ ∠ GEN ≅ ∠ GEL
Conclusion:
 
1. EN & EG trisects ∠ AEC
2. EN bisects ∠ AEG OR
EG bisects ∠ NEL
Reason:
1. If a ray divides the ∠ into 3 ≅ ∠ s => it trisects ∠
2. If a ray divides the ∠ into 2 ≅ ∠ s => it bisects ∠
12. Given: m ∠ PQS = 90
Conclusion:
 
1. PQ ⊥ RS
2. ∠ PQS is a rt ∠
Reason:
1. If 2 lines meet at a 90 degree angle => the lines are ⊥
2. If an ∠ measures 90 degrees => the ∠ is a rt ∠
13. Given: Two intersecting lines as shown (look in book)
Conclusion:
Reason:
1. ∠VZX is a straight angle
1. Assumption from diagram
2. ∠WZY is straight angle
2. Assumption from diagram
3. ∠EZV sup ∠VZY
3. Definition of supplementary
4. ∠YZX sup ∠VZY
4. Definition of supplementary
5. ∠WZV sup ∠WZX
5. Definition of supplementary
6. ∠YZX sup ∠WZX
6. Definition of supplementary