For Exercises 39 to 40, use intuition to from a proportion based on the drawing shown.
A square with sides of length in. rests (as shown) on a square with sides of length in. Find the perimeter of trapezoid
The perimeter of trapezoid ABCD
A square with sides of length rests on a square with sides of length .
If is a point of and , then .
It is a four sides of regular polygon where all sides are equal and all the internal angle equal to .
Similarity between Two polygons:
Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.
It states that sum of the length of the two sides is equal to the square of the length of the hypotenuse (longest sides).
Perimeter of Polygon:
It is the total distance around the outside of a polygon.
According to the segment-Addition Postulate, .
Let us assume that .
It is given that is a square.
According to the property of a square, we can say that and .
Substitute the value of in an equation , we get
By the condition of two similar polygon, .
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