Question

Kerry drew a number line starting at 0, point a, and ending at 1, point c. Halfway between points a and c, kerry added point b. Which statement is true about the number line? A) the distance between points a and c is halfway between points a and b. B) the distance between points a and b is equal to the distance between points b and c. C)without using a ruler to measure, no true statements can be made about the number line. D)the distance between points a and b is not equal to the distance between points b and c.

Answer 1

Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.

Explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.