the two trapezoids are similar which is the correct proportion for corresponding sides

A trapezoid is also known as a trapezium is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides. The parallel sides are known as the bases and the non-parallel sides are known as the legs of the trapezoid.

Properties of Trapezoid

These are the properties of a trapezoid that make it stand out from other quadrilaterals:

The bases (the top and bottom) are parallel to each other
Opposite sides of a trapezoid (isosceles) are of the same length
Angles next to each other sum up to 180°
The median is parallel to both the bases
Median's length is the average of both the bases i.e. (a +b)/2
If both pairs of the opposite sides are parallel in a trapezoid, it is considered a parallelogram
If both pairs of the opposite sides are parallel, all sides are of equal length, and at right angles to each other, then a trapezoid can be considered as a square
If both pairs of the opposite sides are parallel, its opposite sides are of equal length and at right angles to each other, then a trapezoid can be considered as a rectangle

Given:

Two trapezoid are similar.

According to property of similarity, the corresponding angles are equal.

Also, the ratio of their corresponding sides are equal.

So, first part showing incorrect corresponding sides and the third fourth part also.

Hence, the proportion is BA/FE = CD/GD.

Learn more about similarity here:

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