Math, asked by ranamotars77, 1 day ago

Worksheet 4.1 Similar triangles (Copied) Worksheet 4.1 Similar triangles Similar Triangles Name No State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

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Answered by pauljena2
1

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

The side lengths of two similar triangles are proportional. That is, if is similar to Δ X Y Z , then the following equation holds:

U V X Y = U W X Z = V W Y Z

This common ratio is called the scale factor .

The symbol ∼ is used to indicate similarity.

Example:

Δ U V W ∼ Δ X Y Z . If U V = 3 , V W = 4 , U W = 5     and     X Y = 12 , find X Z and Y Z .

Step-by-step explanation:

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