What is the missing statement for the sixth step in the proof below? R
Given: Tis the midpoint of QR
U is the midpoint of RS
T
U
Prove: AQRS - ATRU
Q
S
REASONS
Given
Definition of a midpoint
Substitution and simplification
STATEMENTS
1. Tis the midpoint of OR
U is the midpoint of RS
2.
TROT TR-OTOR
RU a US, RU-US - RS
3. OR - OT-TR=TR+TR-2TR
RS = RU+US = RU-RU-2RU
OR ZRT RT
4. RS 2RU
RU
OR RT
5. RS RU
6. ?
ATRU
Division property of equality,
simplification
Property of proportion from
interchangeability
Reflexive property
SAS similarity postulate
7. ORS