What is Another Word for Congruent?Ĭongruent means 'identical' in shape and size. These angles are called vertically opposite angles or vertical angles. Yes, vertical angles are always congruent because according to the vertical angles theorem, when two straight lines intersect each other, the opposite angles that are formed are always equal (congruent).
For any two angles P and Q, if ∠P ≅∠Q, then ∠Q ≅∠P. The symmetric property says that if one figure is congruent to another, then the second one is also congruent to the first.The reflexive property of congruence says that a line segment, an angle, or a shape is always congruent to itself.They can be listed as follows: Reflexive property, Symmetric property, and Transitive property. The properties of congruence are applicable to lines, angles, and figures. Two triangles are said to be congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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How to Prove that Triangles are Congruent? They fit on each other exactly even when they are rotated or flipped. In other words, when one figure superimposes the other, the figures are termed as congruent figures. RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)Ĭheck out the following pages related to congruence and congruent figures.įAQs on Congruent What are Congruent Figures?Ĭongruent figures are those which have the sides of the same length and angles of the same measure.The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.
This means that the corresponding angles and corresponding sides in both the triangles are equal. In the figure given above, Δ ABC and Δ PQR are congruent triangles. Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other. However, if we notice the similar figures, we see that the corresponding angles are of equal measure, but the sides are not of equal length. In the congruent figures, we can see that all the corresponding sides and angles are of equal measure. However, similar figures may have the same shape, but their size may not be the same.įor example, observe the following triangles which show the difference between congruent and similar figures. Congruent figures have the same corresponding side lengths and the corresponding angles are of equal measure. There is a difference between congruent and similar figures.
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