![]() Let’s take a look at the following examples:Ĭheck whether the following triangles are similar There are two types of similar triangle problems these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Two triangles are similar if all the corresponding three sides of the given triangles are in the same proportion. The SAS rule states that two triangles are similar if the ratio of their corresponding two sides is equal and also, the angle formed by the two sides is equal. With the AA rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle. There are three rules for checking similar triangles: AA rule, SAS rule, or SSS rule. These are postulates or the rules used to check for similar triangles. We can prove similarities in triangles by applying similar triangle theorems. ![]() The ratio of all the corresponding sides in similar triangles is consistent.Įach pair of corresponding angles are equal. The ratio of corresponding sides is congruent triangles is always equal to a constant number 1. ![]() Therefore, ΔABC ~ΔPQR~ΔXYZ Comparison between similar triangles and congruent triangles Features The ratio of their corresponding sides is equal.ĪB/PQ = AC/PR= BC= QR, AB/XY= AC/XZ= BC/YZ.Similar triangles are two or more triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The concept of similar triangles and congruent triangles are two different terms that are closely related. In this article, we will learn about similar triangles, features of similar triangles, how to use postulates and theorems to identify similar triangles, and lastly, how to solve similar triangle problems. Now that we are done with the congruent triangles, we can move on to another concept called similar triangles. Similar Triangles – Explanation & Examples
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