Question

As shown in the diagram below, AB and CD intersect at E, and AC || BD.Give AAEC~ ABED, which equation is true?

Answer 1

The correct option that shows the two triangles are similar is:

ED/EC = AC/BD: Option 3

How to find the ratio of similar triangles?

Two triangles are said to be similar provided the ratio of their corresponding sides are equal.

We are told that triangle AEC is similar to triangle BED and as such we can use the similarity ratio:

ED/EC = AC/BD

Thus, option 3 is correct

Answer 2

From the figure in the question

using ratio of similar triangles

Given the intrustions we have

`(EC)/(AE)\text{ = }(BE)/(ED)`

Therefore the correct option is option 4