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-- Each side and each angle of one is equal to the corresponding side or angle

of the other one.

-- Their heights and areas are equal.

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Q: What are all the properties of congruent triangles?
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Related questions

What are the two properties of congruent triangles?

All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal


What are the properties of 2 congruent triangles?

isoleze


Are two triangles are congruent if they have the same base?

No. All corresponding sides and angles have to be congruent for the triangles to be congruent.


If all corresponding sides and angles of two triangles are congruent those triangles are?

The triangles are also congruent.


What are the properties of the different types of triangle?

There are three types of triangles. Equilateral triangles have three congruent sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the angles opposite those two sides are also congruent. Scalene triangles have no congruent sides or angles.


Does a triangle have 2 congruent sides?

Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.


How would you prove triangles are congruent?

You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.


What postulate or theorem verifies the congruence of triangles?

sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.


Why are all triangles unique?

They are not - if you consider congruent triangles to be the same.


Postulate that states triangles are congruent if all sides from the triangles are congruent?

That's not a postulate. It's a theorem. And you have stated it.


Why are congruent triangles similar?

Congruent triangles are the same because all three sides measure the same length.


Are all equilateral triangles are congruent?

no. if one triangles sides are all 2 and one triangles sides are all 3 then they are not congruent