Question

which of the following fractions compares bc to bd?
2/3
5/2
2/5
3/2

Explanation:

Step1: Determine the lengths of BC and BD

On the coordinate - grid, B is at x = 0, C is at x = 2, and D is at x = 3. The length of BC is the absolute value of the difference between the x - coordinates of B and C. So, \(BC=\vert2 - 0\vert=2\). The length of BD is the absolute value of the difference between the x - coordinates of B and D. So, \(BD=\vert3 - 0\vert = 3\).

Step2: Find the ratio of BC to BD

The ratio of BC to BD is \(\frac{BC}{BD}\). Substituting the values of BC and BD, we get \(\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)