Question

which methods could you use to calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0, 0) and (20, 0)? check all that apply. a. divide 0 by 20. b. count by hand. c. divide 20 by 2. d. divide 20 by 0.

Explanation:

• For option A: Dividing 0 by 20 gives 0, which is not the midpoint's x - coordinate (midpoint x - coordinate should be 10), so A is incorrect.
• For option B: Since the line segment is horizontal from (0,0) to (20,0), we can count the units from 0 to 20 and find the middle point (at 10), so B is a valid method.
• For option C: The midpoint formula for the x - coordinate of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{x_1 + x_2}{2}\). Here \(x_1 = 0\), \(x_2=20\), so \(\frac{0 + 20}{2}=\frac{20}{2}=10\), so dividing 20 by 2 is correct, C is valid.
• For option D: Division by zero is undefined, so D is incorrect.

Answer:

B. Count by hand, C. Divide 20 by 2