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

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

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.

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.

polygons that have corresponding angles congruent and corresponding sides proportional

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.

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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".

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.

Corresponding sides and angles are not all congruent.

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.

corresponding sides and angles are congruent s/a

Their corresponding angles and corresponding sides are congruent.

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.

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.

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.

you can assume that the angles are congruent, but not the sides.

polygons that have corresponding angles congruent and corresponding sides proportional