Similar triangles are triangles that have exactly the same shape, but are not necessarily the same size. When two triangles are similar, the ratios of the lengths of their corresponding sides are equal. We can use these properties of similar triangles to find missing sides and angles.
More topics on similar triangles
Congruent and Similar Triangles
Determine congruent and similar triangles. Use similar triangles to solve problems.
Congruent triangles have the same size and the same shape. Corresponding sides are the same length and the corresponding angles are congruent.
Similar triangles have the exact same shape but not necessarily the same size.
The conditions for similarity are
1. Corresponding angles must have the same measure.
2. Corresponding sides must be proportional. (That is the ratios of their corresponding sides must be equal)
1. The two triangles are similar. Determine the measure of angle A and angle B.
2. The two triangles are similar. Determine the length of the sides DE and EF.
3. A tree casts a shadow 45 feet long. At the same time, the shadow cast by a vertical 3 ft stick is 5 ft long. Find the height of the tree.
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