Final answer:
All statements are incorrect.
Step-by-step explanation:
Let's evaluate each statement:
1. **BC is 2 units long.**
- Correct: No. The length of BC can be found using the distance formula: {(-1 - (-1))^2 + (1 - 4)^2}^1/2 = {0^2 + (-3)^2}^1/2 = 3 units.
2. CA is 5 units long.
- Correct: No. The length of CA can be found using the distance formula: {(4 - (-1))^2 + (1 - 1)^2}^1/2 = {5^2 + 0^2}^1/2 = 5 units.
3. BC is shorter than BA.
- Correct: No. The length of BA can be found using the distance formula: {(-1 - 4)^2 + (4 - 1)^2}^1/2 = {(-5)^2 + 3^2}^1/2 = {25 + 9}^1/2 = {34}^1/2 units. Comparing this to BC, BA is longer.
4. AC is 2 units longer than BC.
- Correct: No. The length of AC is 5 units (as calculated in statement 2), which is not 2 units longer than the length of BC (which is 3 units).
Therefore:
- BC is not 2 units long.
- CA is not 5 units long.
- BC is not shorter than BA.
- AC is not 2 units longer than BC.
So, the correct answers are all "No."