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Similar Triangles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Similar triangles
Triangles that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.
Condition for similarity: AAA
If two triangles have all three pairs of corresponding angles equal, they are similar.
Condition for similarity: SSS
If two triangles have all three pairs of corresponding sides in the same ratio, they are similar.
Condition for similarity: SAS
If two triangles have two pairs of corresponding sides in the same ratio and the included angles are equal, they are similar.
Proportional sides in similar triangles
In similar triangles, the lengths of corresponding sides are in the same ratio.
Equal angles in similar triangles
In similar triangles, all corresponding angles are equal.
Scale factor in similar triangles
The ratio of the lengths of corresponding sides in similar triangles is called the scale factor.
Finding missing sides in similar triangles
Use the scale factor to calculate the lengths of missing sides in similar triangles.
Real-life application of similar triangles
Similar triangles can be used to find heights or distances that are difficult to measure directly, such as the height of a building or a tree.
Difference between similar and congruent triangles
Similar triangles have the same shape but different sizes, while congruent triangles are identical in both shape and size.
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