Question

Line segments AB and CD intersect at point O, which is the midpoint of both segments. What is the measurement of BD if AC = 10m? HELP QUICKK!!,

Answer 1

BD is equal to 10m as well because they are vertical angles.

Answer 2

BD = 10 m

Explanation:

Let's draw the figure from the given information.

When we draw the figure, we get two triangles.

ΔAOD and ΔBOD.

Here O is the midpoint of AB and CD.

Therefore, AO ≡ OB and CO ≡ OD

The angle ∠COA ≡ ∠BOD, since they are vertical opposite angles.

We are given AC = 10 m

The triangles ΔAOD and ΔBOD are congruent triangles by SAS (side - angle -side) postulate.

Therefore, the corresponding angles and corresponding sides are equal by the property of CPCTC.

Therefore, AC = BD.

So, the measure of the side BD = 10 m.