2.6 - # 2-7, 9, 11
2. a. x = 20, b. x = 16
3.
Statements
Reasons
1. DF ≅ GJ
2. E is midpoint of DF
1. Given
2. Given
3. DE ≅ EF
3. If a point is a midpoint, then it divides a segment into two
congruent segments.
4. Given
4. H is midpoint of GJ
5. If a point is a midpoint, then it divides a segment into two
congruent segments.
6. If segments are congruent, then their like divisions are
congruent.
5. GH ≅ HJ
6. DE ≅ GH
4.
Statements
1.
2.
3.
∠AFE ≅ ∠DEF

FC bisects ∠AFE
∠1 ≅ ∠CFE

4. EB bisects ∠DEF
5. ∠2 ≅ ∠BEF
6. ∠1 ≅ ∠2
Reasons
1. Given
2. Given
3. If a ray bisects an angle, then it divides the angle into two
congruent angles.
4. Given
3. If a ray bisects an angle, then it divides the angle into two
congruent angles.
4. If angles are congruent, then their like divisions are congruent.
5.
Statements
1.
2.
3.
JK ≅ MK

OP bisects JK & MK
JO ≅ OK
4. MP ≅ PK
5. JO ≅ PK
Reasons
1. Given
2. Given
3. If a line bisects a segment, then it divides the segment into two
congruent segments.
4. If a line bisects a segment, then it divides the segment into two
congruent segments.
5. If segments are congruent, then their like divisions are
congruent.
6.
1. ∠TNR ≅ ∠TRN
2. ∠NRS ≅ ∠RNS
3. ∠TNS ≅ ∠TRS
Statements
Reasons
1. Given
2. Given
3. If congruent angles are subtracted from congruent angles, then
their difference is congruent
7. a. x = 6, b. y=8
9. (7, 2)
11.
Statements
1. SZ ≅ ST , XY ≅ VW
1. Given
Reasons
2. Y is midpoint ZX
3. V is midpoint TW
4. YX ≅ ZY
5. VW ≅ TV
6. ZX ≅ TW
7. SX ≅ SW
2. Given
3. Given
4. Def of midpoint
5. Def of midpoint
6. Multiplication Property
7. Addition Property