If point C is at (5, 5) and point D is at (5, 10), what is the distance between

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Question: If point C is at (5, 5) and point D is at (5, 10), what is the distance between points C and D?

Options:

Correct Answer: 5

Solution:

Distance = |y2 - y1| = |10 - 5| = 5.

If point C is at (5, 5) and point D is at (5, 10), what is the distance between points C and D?

If point C is at (5, 5) and point D is at (5, 10), what is the distance between points C and D?

Step 1: Identify the coordinates of point C, which are (5, 5). This means x1 = 5 and y1 = 5.
Step 2: Identify the coordinates of point D, which are (5, 10). This means x2 = 5 and y2 = 10.
Step 3: Since both points have the same x-coordinate (5), we can find the distance by only looking at the y-coordinates.
Step 4: Use the formula for distance between two points with the same x-coordinate: Distance = |y2 - y1|.
Step 5: Substitute the y-coordinates into the formula: Distance = |10 - 5|.
Step 6: Calculate the difference: Distance = |5|.
Step 7: The absolute value of 5 is 5, so the distance between points C and D is 5.

Distance Formula – The distance between two points in a vertical line can be calculated by taking the absolute difference of their y-coordinates.