Sides of Similar Triangles Worksheets
What is Related Between Sides of Similar Triangles? There are two concepts in geometry that are pretty common and taught in early grades. They are congruency and similarity, and they can be applied to any shape. Congruency means that two shapes should be exactly equal in every aspect that are: shape, size, and structure. Whereas in similarity, only the shape needs to be similar. Both shapes could differ in size or dimensions if they are similar. If we talk about triangles, two similar triangles can assist in solving each otherâ€™s dimensions and angles. When we are talking about two similar triangles, each of their sides are similar to each other as well. It's just that they can differ in their measurements. Usually, the sides of similar triangles are a factor of each other, and they differ in a certain ratio. For example, if one triangle has a side of three centimeters, then that very side in the other triangle would be six or nine centimeters. So if we find out that differentiating factor between them, we can solve for the measurements of each side of both the triangles. Also, each angle in two similar triangles is equal to its corresponding angle. So, there is no need for actually finding the value of an angle in either of the triangles if its corresponding angle's value in the other triangle is known.

Basic Lesson
Introduces students to corresponding angles and proportions of similar triangles. Identical triangles are similar. Mathematically, similar triangles have both corresponding angles equal, while the lengths of the corresponding sides are in proportion.
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Intermediate Lesson
Guides students through writing equal ratios to corresponding sides of similar triangles.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of similar triangles.
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Independent Practice 2
Students tackle 20 similar triangles problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to understand the concepts of Sides of Similar Triangles.
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The Pythagorean Theorem states...
"In a right triangle, the square of the hypotenuse equals the sum of the squares of the 2 other sides." Other civilizations knew it long before Pythagoras, but he generalized it and made it popular.