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- When two triangles are right-angled triangles and have the hypotenuse and one of the shorter sides the same, they are congruent triangles. The second triangle may be a rotation or a mirror image of the first triangle (or both). The third side would also be identical and this can be checked using Pythagoras’ theorem.
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If in any shape, the sides are of equal lengths they are known as congruent sides. For example, if two triangles have all three sides of the same length that are equal to each other, we can say that the triangles are congruent. This congruence rule is called SSS (side-side-side).
In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures. Any two line segments are said to be congruent if they are equal in length. Two angles are said to be congruent if they are of equal measure.
Vertices: A and P, B and Q, and C and R are the same. Sides: AB=PQ, QR= BC and AC=PR; Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R. Congruent triangles are triangles having corresponding sides and angles to be equal. Congruence is denoted by the symbol “≅”. From the above example, we can write ABC ≅ PQR. They have the same area and the same perimeter.
Congruent shapes or congruent figures are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same. To do this, we need to check all the angles and all the sides of the shapes.
In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters, and areas.
Congruent triangles are triangles that are exactly the same size and shape. There are 4 4 conditions to prove congruency in triangles. Side-side-side (SSS) When two triangles have all three sides the same, they are congruent triangles. The second triangle may be a rotation or a mirror image of the first triangle (or both).
Aug 3, 2023 · Congruent triangles are triangles having all three sides of exactly the same length and all three angles of exactly the same measure. Thus, congruent triangles are mirror image of each other. On the other hand, triangles that are not congruent are called non-congruent triangles.
