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It is an equilateral triangle that has 3 equal sides and 3 equal interior angles

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Q: What triangle has congruent corresponding sides and congruent corresponding angles?
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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.


Can congruent polygons have unequal corresponding lengths?

Yes providing the interior angles remain the same as for example a scalene triangle has unequal sides but it can be congruent to another scalene triangle that has the same sides and angles.


What polygons that have corresponding angels congruent and corresponding sides proportional?

polygons that have corresponding angles congruent and corresponding sides proportional


What is the triangle equality theorem?

Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Related questions

In similar triangles corresponding What is are congruent and corresponding?

For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".


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.


Are all corresponding sides and angles congruent?

Corresponding sides and angles are not all congruent.


Are polygons whose vertices can be paired so that corresponding angles are congruent and corresponding sides are proportional?

The fact that corresponding angles are congruent does not require corresponding sides to be proportional - except in the case of a triangle. For quadrilaterals, think of a square and rectangle.


What are corresponding sides and angles?

corresponding sides and angles are congruent s/a


What is congruent polygon?

Their corresponding angles and corresponding sides are congruent.


Can congruent polygons have unequal corresponding lengths?

Yes providing the interior angles remain the same as for example a scalene triangle has unequal sides but it can be congruent to another scalene triangle that has the same sides and angles.


What defines a congruent triangle?

All corresponding sides and all interior angles are congruent. But in order to have a congruent triangle, we need two or more triangles that fit these requirements.


Is the isosceles triangle the only triangle with congruent sides and angles?

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.


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.


What polygons that have corresponding angels congruent and corresponding sides proportional?

polygons that have corresponding angles congruent and corresponding sides proportional