Given: AD
DC
Prove: AB || DE
BE
A
B
2E
Complete the steps of the proof.
Statements
2. A +1 = BE +1
AD
3. A+ DC = BE + EC
DC
AD + DC
BE+EC
4.
=
DC
5. AC
AD+DC;
BC = BE + EC
BC
6. AC=C
DC
7. 2323
8. AABC ADEC
9. 21 22
10. AB || DE
EC
Reasons
2. addition property
3. property of proportion
4. addition of fractions
5. segment addition
postulate
6. substitution property
7. reflexive property
8.4
9.-
10. corresponding angles
theorem

Question

14-06-2024
Mathematics

Answered

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Given: AD
DC
Prove: AB || DE
BE
A
B
2E
Complete the steps of the proof.
Statements
2. A +1 = BE +1
AD
3. A+ DC = BE + EC
DC
AD + DC
BE+EC
4.
=
DC
5. AC
AD+DC;
BC = BE + EC
BC
6. AC=C
DC
7. 2323
8. AABC ADEC
9. 21 22
10. AB || DE
EC
Reasons
2. addition property
3. property of proportion
4. addition of fractions
5. segment addition
postulate
6. substitution property
7. reflexive property
8.4
9.-
10. corresponding angles
theorem

Sagot :

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