Define congruence rules?

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Chandan Singh

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Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. If there are two pairs of corresponding angles and a pair of corresponding opposite sides that are equal in measure, then the triangles are congruent.
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In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination...
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In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. So two distinct plane figures on a piece of paper are congruent if we can cut them out and then match them up completely. Turning the paper over is permitted. In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects. Two line segments are congruent if they have the same length. Two angles are congruent if they have the same measure. Two circles are congruent if they have the same diameter. read less
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The SSS rule states that:- If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. In the diagrams below, if AB = RP, BC = PQ and CA = QR, then triangle ABC is congruent to triangle RPQ. Side - Side - Side (SSS) Rule Side-Angle-Side (SAS) Rule Side-Angle-Side...
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The SSS rule states that:- If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. In the diagrams below, if AB = RP, BC = PQ and CA = QR, then triangle ABC is congruent to triangle RPQ. Side - Side - Side (SSS) Rule Side-Angle-Side (SAS) Rule Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that :- If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides. Included and Non-included angle:- Included Angle Non-included angle For the two triangles below, if AC = PQ, BC = PR and angle C = angle P , then using the SAS rule, triangle ABC is congruent to triangle QRP congruent triangles Angle-Side-Angle (ASA) Rule Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent. Angle-Angle-Side (AAS) Rule Angle-angle-side is a rule used to prove whether a given set of triangles are congruent. The AAS rule states that If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent. In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then triangle ABC is congruent to triangle QRP. read less
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In congruence rules, we see similarities between two triangles. These similarities can be within the sides of triangle or in angles. It can be SSS, ASA, SAS, AAS.
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Congruency is one kind of Similarity. If you remember the meaning the Similarity, and How we define it, is ration of respective factor like sides and angle. If this ratio numerically equal to one, then this rule come and known as congruency.
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Congruency is one kind of Similarity. If you remember the meaning of Similarity and How we define it, is ratio of respective factor like sides and angle. If this ratio numerically equal to one, then this rule come and known as congruency.
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There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
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If two triangle having all three side of equal length have to follow these below rule then they will called congruent. 1. Side Side Side. 2. Side Angle Side. 3. Angle Side Angle. 4. Angle Angle Side. 5. Hypotenuse leg.
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These are helpful to give you angles of triangle like They are called the SSS rule, SAS rule, ASA rule and AAS rule. It is sufficient to prove that the two triangles are congruent.
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There are 5 rules through which we can prove that two triangle are congruent or not: 1) SSS-means SIDE-SIDE-SIDE i.e, if two triangles have all three sides equal they are then congruent. 2) SAS-means SIDE -ANGLE-SIDE i.e, if two sides and angle they contained in between them are equal in two triangles...
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There are 5 rules through which we can prove that two triangle are congruent or not: 1) SSS-means SIDE-SIDE-SIDE i.e, if two triangles have all three sides equal they are then congruent. 2) SAS-means SIDE -ANGLE-SIDE i.e, if two sides and angle they contained in between them are equal in two triangles then also they are congruent. 3) ASA- means ANGLE-SIDE-ANGLE i.e, if two angles and side on which they are formed are equal then also triangles are congruent. 4) AAS- means ANGLE-ANGLE-SIDE i.e, if two angle and one of the sides of a triangle are equal to same in other triangle then also these triangles are congruent. 5) HL -Hypotenuse-Leg: this rule apply to only right angled triangles and according to it if in two right angled triangles if their hypotenuse and one of the sides (legs) are equal then also triangles are congruent. read less
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