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If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
What else can I help you with?
What are triangles that have equal corresponding angles?
Isoceles triangles and right triangles have 2 corresponding equal angles three equal corresponding angles are equilateral triangle
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What are three ways you can prove that triangles are similar?
Two triangles are similar if:two pairs of corresponding angles are equal, orone pair of angles is equal, and the ratios of the lengths of sides adjacent to the angles are the same, orthe lengths of the three pair of corresponding sides are in the same ratio.For the first point, if two angles of one triangle are equal to two of the other, then the third angles = 180 - sum of the two, must be equal.
Similar triangles are triangles whose corresponding are congruent and whose corresponding sides are proportional in length?
angles
Can you assume that corresponding sides and corresponding angles of any two similar triangles are congruent and why?
you can assume that the angles are congruent, but not the sides.
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Triangles are congruent if they have the same what?
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
How can you tell if two triangles are similar?
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
How do you prove that two triangles are similar?
You either show that the corresponding angles are equal or that the lengths of corresponding sides are in the same ratio.
Are two arbitrarily chosen equilateral triangles similar?
Yes. Corresponding angles of the two triangles are always equal, and lengths of corresponding sides are always in the same ratio.
What are triangles that have equal corresponding angles?
Isoceles triangles and right triangles have 2 corresponding equal angles three equal corresponding angles are equilateral triangle
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What are congruent triangle?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
What are triangles whose corresponding angles are equal and corresponding sides are in proportion?
Similar triangles.
What is two triangles with corresponding angles and corresponding sides congruent called?
They are congruent triangles.
