Mathematics
Grade9
Easy
Question
Four steps of a proof are shown.
Given: B is the midpoint of AC and C is the midpoint of BD.
Prove: AB = CD
What is step no. 3?
Statements
Reason
1. B is the midpoint of 
. C is the midpoint of 
.
1. Given
2. 
3. AB = BC, BC = CD
4.AB = CD
| Statements | Reason |
| 1. B is the midpoint of . C is the midpoint of . |
1. Given |
| 2. |
|
| 3. AB = BC, BC = CD | |
| 4.AB = CD |
- Definition of midpoint
- Transitive property of equality
- Definition of congruent segments
- Substitution Property of equality
Hint:
Transitive
a -> b
b -> c
then a ->c
The correct answer is: Definition of congruent segments
if ( a , b ) is in relation ( b , c ) is in relation then using transitive property ( a , c ) will also be the part of relation .
AB = BC ,
BC = CD
So , AB = CD by the transitive property .
Transitive Relation
a -> b
b -> c
then a ->c
