Question

Safara uses these steps to partition segment in a ratio of 9:4.


1. Draw horizontal segment.

2. Count squares and place point to partition segment so that :=9:4.

3. Draw a vertical segment from point to where it intersects segment. Call this point.


Which is the best reason why Safara’s method works?


Pls answer in top right,left, btm right left

Answer 1

Lines can be divided into segments by using the line segment ratios

The reason why the Safara's method works is (d) Triangles ABE and ACD can be proved to be similar

How to determine the reason

The line ratio is given as

Ratio = 9 : 4

When the line is divided by the vertical and the horizontal lines, the segments form similar triangles ACD and ABE (see attachment)

Hence, the reason why the Safara's method works is that:

Triangles ABE and ACD can be proved to be similar

Read more about similar triangles at:

https://brainly.com/question/14285697