Perimeter and Area of Similar Figures

Learners calculate the area and the perimeter of triangles. For this geometry lesson, students identify the ratio and proportion of similar figures.

Coordinate the perimeter and the area. Given a rectangle on the coordinate plane, pupils determine its perimeter and area. The rectangle contains vertices in three of the four quadrants, and scholars can use the Pythagorean Theorem,...

Are all the measurements scalable? Pupils work in groups or alone to determine whether figures are similar and find any missing side lengths. Then, they calculate the perimeters and areas of the figures. Finally, using the measurements,...

Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...

Use scale factors to find areas of circles. Pupils delve deeper into the informal argument for the formula of the area of a circle. The scholars show the relationships of areas of similar polygons also holds true for circles.

Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...

In this perimeter and areas worksheet, learners determine the perimeter and area of similar figures. They compute the ratio of the perimeters and the ratio of the area. Students identify similar figures and corresponding parts. This...

Students explore the concept of scale factors.  In this scale factors lesson, students dilate polygons and determine the ratio of the perimeters and areas of an image and pre-image.  Students use Ti-Nspires to graph triangles, measure...

Find the square of the scale factor. A component of a large playlist on geometry discusses the ratios of the perimeters and areas of two similar polygons. The resource shows examples in finding the ratios that lead to a pattern.

Just how similar are the areas of similar figures? An educational YouTube video describes how to determine the areas of similar figures. Given the area of one figure and the measurements of corresponding sides of each figure, viewers see...