Are two right triangles always similar?

First, right triangles are not necessarily always similar. In both cases, the leg of the larger triangle is twice as long as the corresponding leg in the smaller triangle. Given that the angle between the two legs is a right angle in each triangle, these angles are congruent.

Are two equilateral triangles always sometimes or never congruent?

Equilateral triangle is a triangle with 3 congruent sides that thus have equal lengths and 3 congruent angles, so the corresponding angles of any two equilateral triangles would always be congruent and their corresponding sides would always be proportional (the ratios of their lengths would be constant), so two …

Are two pentagons always sometimes or never similar?

In order for two shaped to be similar, they must have the same number of sides, and the angles all must be the same. Since a parallelogram has 4 sides, and a pentagon has 5 sides, they can never be similar.

Is a right triangle always sometimes or never an equilateral triangle?

A triangle cannot have two 90° angles, there an obtuse triangle is NEVER a right triangle. In an equilateral triangle, the three angles are equal. Since the three angles total 180°, they are each 60°. So a right triangle is NEVER an equilateral triangle.

Are two regular polygons always similar?

For any two regular polygons with the same number of sides: They are always similar. Since they have the sides all the same length they must always be in the same proportions, and their interior angles are always the same, and so are always similar. The apothems and radii are in the same proportions as each other and the sides.

Are two congruent polygons always similar?

In order for two polygons to be similar, they must be proportional. In order for two polygons to be congruent, they must be proportional and of the same size, or exactly the same. Thus, similarity is a component of congruency, and two congruent polygons will always be similar. So, always true.

Are two isosceles triangle always similar?

Two triangles are similar if and only if the three angles of one are congruent to the three angles of the other. Since a triangle is isosceles if and only if two of its angles are congruent, if a triangle is similar to an isosceles triangle, then it will also have two congruent angles and must be isosceles.

How can you tell if two triangles are similar?

There are three ways to find if two triangles are similar: AA, SAS and SSS: AA stands for “angle, angle” and means that the triangles have two of their angles equal. If two triangles have two of their angles equal, the triangles are similar.