Answer:
The mathematical expression is false
Step-by-step explanation:
* Lets use the figure to answer the question
- There are four triangles in the figure
- Δ ROB and Δ PTA appear congruent because:
# The side RO appears equal the side PT
∴ RO ≅ PT
# The side OB appears equal the side TA
∴ OB ≅ TA
# The side RB appears equal the side PA
∴ RB ≅ PA ⇒ SSS
∴ Δ ROB ≅ Δ PTA
- Δ DEF and Δ YXW appear congruent because:
# The side DE appears equal the side YX
∴ DE ≅ YX
# The side EF appears equal the side XW
∴ EF ≅ XW
# The side DF appears equal the side YW
∴ DF ≅ YW
∴ Δ DEF ≅ Δ YXW ⇒ SSS
- Δ ROB and Δ DEF have different shapes and sizes
∵ Δ ROB not appear congruent to Δ DEF
∴ Δ ROB ≠ Δ DEF
∴ The mathematical expression is false
