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What do you call two triangles with proportional sides?
They are said to be similar but not congruent triangles.
What is the term for two triangles whoSe angles are congruent and sides are proportional?
Such triangles are similar.
If two sides of one triangle are proportional to two sides of a second triangle and the included angles of those sides are congruent then are the triangles similar?
If the 3 sides are proportional by ratio and the angles remain the same then the two triangles are similar
Do the corresponding sides of similar triangles have proportional lengths?
Yes, the corresponding sides of similar triangles have proportional lengths. This means that the ratios of the lengths of corresponding sides are equal. For example, if two triangles are similar, the ratio of the lengths of one triangle's sides to the lengths of the other triangle's corresponding sides will be the same across all three pairs of sides. This property is fundamental in solving problems related to similar triangles.
Similar triangles are triangles whose corresponding angles are congruent and whose corresponding sides are in length?
proportional
Similar triangles are triangles whose corresponding are congruent and whose corresponding sides are proportional in length?
angles
Is it possible for two triangles to have two pairs of sides that are proportional without the triangles being similar?
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
The term for two triangles whose angles are congruent and sides are proportional is?
similar
What are the corresponding sides called in similar triangles whose corresponding angles are congruent?
Proportional.
If three corresponding sides of one triangle are proportional to three sides of another then the triangles are similar?
Yes, if the three corresponding sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar. This is known as the Side-Side-Side (SSS) similarity criterion. When the sides are in proportion, it ensures that the angles of the triangles are also equal, thus confirming their similarity. Similar triangles maintain the same shape but may differ in size.
The S's in the SSS Similarity Theorem states that two triangles are similar if they have proportional sides?
three
The S's in the SSS Similarity Theorem state that two triangles are similar if they have three proportional what?
Sides
