0
Will the lengths of two corresponding altitudes of similar triangles will have the same ratio as any pair of corresponding sides?
Wiki User
∙ 13y ago
It is given that two triangles are similar. So that the ratio of their corresponding sides are equal.
If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
With similar triangles the corresponding angles are equal True or False?
True. With similar triangles the corresponding angles are equal.
Are corresponding angles of similar triangles congruent?
Yes.
What is a scale factor on a triangle?
If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
Can two triangles be similar but not congruent?
Yes. The triangles have the same angle measures but different, similar side lengths. Think of two different sized equilateral triangles. One can have side lengths of 6 inches while the other has side lengths of 20 inches, but they still have congruent angles of 60 degrees. Each ratio of side lengths is equal [6/20=6/20=6/20].
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.
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
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.
The of the corresponding side lengths of similar triangles is called the scale factor?
ratio
The what of the corresponding side lengths of similar triangles is called the scale factor?
ratio
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.
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.
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.
Who can help with this The corresponding side lengths of similar triangles are related through multiplication by the factor.?
It is true.
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.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
What are triangles whose corresponding angles are equal and corresponding sides are in proportion?
Similar triangles.
