Similar triangles have proportional corresponding sides and equal corresponding angles, whereas congruent triangles have corresponding sides and angles that are exactly equal. In conclusion, similar triangles have the same shape but may differ in size, while congruent triangles are identical in both shape and size. This property is not applicable to congruent triangles, as their corresponding sides are exactly equal. Proportional Sides: In similar triangles, the ratios of corresponding sides are equal. Congruent triangles can be obtained through rigid transformations, including translation, rotation, and reflection.ħ. Transformations: Similar triangles can be obtained through transformations such as dilation or stretching.
For example, if triangle XYZ is congruent to triangle PQR, it can be written as ΔXYZ = ΔPQR.Ħ. Congruent triangles are represented using an equals sign (=). For example, if triangle ABC is similar to triangle DEF, it can be written as ΔABC ~ ΔDEF. Notation: When representing similar triangles, a symbol (~) is used between their names. Congruent triangles have the same shape and size, making them identical.ĥ. Shape: Similar triangles have the same shape but may differ in size. Congruent triangles have corresponding sides that are exactly equal in length.Ĥ. Corresponding Sides: Similar triangles have corresponding sides that are in proportion. Any two or more objects that are identical in every respect: same size, same shape, and occupy same space are congruent. In congruent triangles, corresponding angles are not only equal but also have the same size.ģ.
Corresponding Angles: In similar triangles, corresponding angles are equal, but they may differ in size. Similar triangles have proportional side lengths, while congruent triangles have exactly the same side lengths.Ģ. Size: The primary difference between similar and congruent triangles lies in their size. If two triangles are congruent, it means that all corresponding angles and sides of both triangles are equal.ĭifferences between Similar Triangles and Congruent Triangles:ġ.
They have the same angles and the same side lengths. In other words, the ratio of the lengths of corresponding sides in similar triangles remains the same.Ĭongruent triangles are two triangles that are identical in shape and size. They have corresponding angles that are equal and corresponding sides that are in proportion. Similar triangles are two triangles that have the same shape but may differ in size.
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