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What type of triangle is congruent?

Sagot :

Congruent triangles are triangles having corresponding sides and angles to be equal.

Congruent triangles are triangles that have both the same size and the same shape and they have the same perimeter and the same area. Congruence is denoted by “≅”.  For example, we can write ABC ≅ DEF. They have the same area and the same perimeter.

Congruent triangles have the same angle measures and the same side lengths.

On the other hand, the similar triangle is the term used for triangles that have the same shape, but not necessarily the same size.

Two triangles are considered to be congruent if they meet one of the following criteria.

  1. All three pairs of corresponding sides should be equal.
  2. Two pairs of corresponding sides and the corresponding angles between them should be equal.
  3. Two pairs of corresponding angles and the corresponding sides between them should be equal.
  4. Two pairs of corresponding angles and one pair of corresponding sides (not between the angles) should be equal.
  5. The pair of hypotenuses and another pair of corresponding sides should be in two right triangles.

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