Give some properties of triangle.
at least give 5 properties of congruent triangle also.
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Congruence in Triangles
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Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size. There are many conditions of congruence in triangles. Let us discuss them in detail.
What is Congruence in Triangles?
If the three angles and the three sides of a triangle are respectively equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent. In the Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.
congruence in triangles
The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other. When we rotate, reflect, and/ or translate a triangle, its position or appearance seems to be different. In that case, we need to identify the six parts of a triangle and their corresponding parts in the other triangle. Consider Δ ABC and ΔPQR as shown below.