Question

Points A, B, C, and D are collinear points on line L. The measure of AC = 25 and the measure of CD = 10.

If AC = BD, what is the measure of BC?
A . 16
B . 17
C . 14
D . 15
E .12

Answer 1

Using the properties of collinear points and the given measurements, we deduced that the measure of BC is 15 units.

Step-by-step explanation:

We are provided with points A, B, C, and D which are collinear on line L, with AC measuring 25 units and CD measuring 10 units. We are also given AC = BD. To find the measure of BC, we need to understand that since AC = BD and AC also includes BC, BD must also include CD, making BD = BC + CD.

Since AC = 25 and CD = 10, we can set up the equation AC = BC + CD to find the length of BC, knowing that BD (which equals AC) is 25 units.

Therefore:

• BD = BC + CD
• 25 = BC + 10
• BC = 25 - 10
• BC = 15 units

This calculation determines that the measure of BC is 15 units.