Distance and Pythagorean Theorem Quick Check

here are my answers ill have to check if they're right

1. A. 2.83
2. D. 5.38
3. C. 10
4. D. 6.40
5. B. 8.54

just checked, the answers are correct :)

I'm sorry, but you haven't provided the questions or any context for me to verify your answers. Please provide the questions or additional information so I can assist you properly.

Great! It's good to hear that your answers are correct. If you have any further questions or need assistance with anything else, feel free to ask.

To verify if your answers are correct, let's first understand how the Pythagorean theorem is used to find the distance between two points in a coordinate plane.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The formula can be written as:

c^2 = a^2 + b^2

Where c represents the length of the hypotenuse and a and b represent the lengths of the other two sides.

Now, let's go through each question and see if your answers align with the Pythagorean theorem.

1. A. 2.83:
Without context or specific coordinates, it is difficult to verify if this answer is correct. Please provide more information about the question or coordinates.

2. D. 5.38:
Again, without context or specific coordinates, it is difficult to verify if this answer is correct. Please provide more information about the question or coordinates.

3. C. 10:
Similarly, without context or specific coordinates, it is not possible to determine the accuracy of this answer. Please provide more information about the question or coordinates.

4. D. 6.40:
Once again, without context or specific coordinates, it is challenging to determine the correctness of this answer. Please provide more information about the question or coordinates.

5. B. 8.54:
Without context or specific coordinates, it is not possible to validate if this answer is correct. Please provide more information about the question or coordinates.

To find the distances accurately, you need to provide the coordinates for each point in the four-coordinate plane questions. Once you have the coordinates, you can calculate the distance using the Pythagorean theorem.