Question

NEED IN 5 MIN. PLEASEEE HELP

ANSWER OPT.
A. AM/NC=AN/MB
B. MB/AM=NC/AN
C. AM/MN=MB/BC
D. AM/MN=AN/MN

Answer 1

Answer:

B. $\frac{MB}{AM}=\frac{NC}{AN}$

Step-by-step explanation:

Given:

Segment MN ║ Segment BC

We need to find the ratio of the side which are proportional.

Solution:

In Δ ABC

Segment MN ║ Segment BC

So By Triangle Proportionality theorem which states that;

"If a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally."

So we can say that;

$\frac{AM}{MB}=\frac{AN}{NC} \ \ \ \ OR \ \ \ \ \ \frac{MB}{AM}=\frac{NC}{AN}$

Hence the Proportional sides are from the given option $\frac{MB}{AM}=\frac{NC}{AN}$.