Rectangle QRST is similar to rectangle JKLM. The scale factor of rectangle JKLM to rectangle QRST is . The perimeter of rectangle QRST is 12 units, and the perimeter of rectangle JKLM is units. The area of rectangle QRST is units2, and the area of rectangle JKLM is 128 units2. If proportional dimensional changes are made to a figure, then the perimeter will change by the scale factor, and the area will change by the scale factor

On the other hand, In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.

Properties of similar polygons

The corresponding angles are equal/congruent. (Both interior and exterior angles are the same)
The ratio of the corresponding sides is the same for all sides. Hence, the perimeters are different.

Similar Quadrilaterals

Quadrilaterals are polygons that have four sides. The sum of the interior angles of a quadrilateral is 360 degrees. Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same( the fourth angles automatically become the same as the interior angle sum is 360 degrees), and two adjacent sides have equal ratios.

1. scale factor= 4 units

1. perimeter of rectangle JKLM is 48 units

2. Area= 8

4. same

5. square

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