Question

Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.

triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C

If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?

DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB

Answer 1

If segments DE and AB are parallel, and point D is on segment AC between points A and C, while point E is on segment BC between points B and C, then according to the similar triangles property:

\[ \frac{DC}{EC} = \frac{AC}{BC} \]

Therefore, the correct expression to determine the length of DC is:

\[ DC = \frac{EC \cdot AC}{BC} \]