8 Congruency of Triangles - త్రిభుజాల సర్వసమానత్వం | Exercise 8.4 | 7th Class Maths | Chapter 8

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Exercise - 8.1: • 8.1 Congruency of Tria...
Exercise - 8.2 : • 8.2 Congruency of Tria...
Exercise - 8.3 : • 8 Congruency of Triang...
Exercise - 8.4 : • 8 Congruency of Triang...
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In This Chapter :
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Introduction Congruency Of Triangles
Congruency of line segments
Congruency of triangles
Criterion for congruency of triangles
Side-Side-Side congruency (SSS)
Side-Angle-Side Congruence
Angle-Side-Angle congruency (ASA)
Right-Angle Hypotenuse Side congruence
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Key Points :
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1. Congruent objects are objects having the same shape and size.
2. The method of superimposition examines the congruence of plane figures.
3. Two line segments say, AB and CD are congruent if they have equal lengths. We write this as AB ≅ CD. However, it is common to write it as AB = CD.
4. If all the parts of one triangle are equal to the corresponding parts of other triangle, then the triangles are congruent.
5. The necessary and sufficient conditions for two triangles to be congruent are as follows:
(i) Side-Side-Side (SSS) criterion for congruence: If three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent.
(ii) Side-Angle-Side(SAS) criterion for congruence: If two sides and the angle included between the two sides of a triangle are equal to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.
(iii) Angle-Side-Angle criterion of congruence: If two angles and the included side of a triangle are equal to the corresponding two angles and included side of another triangle then the triangles are congruent.
(iv) Right-Angle Hypotenuse criterion of congruence: If the hypotenuse and one side of a right-angled triangle are equal to the corresponding hypotenuse and side of the other right-angled triangle, then the triangles are congruent.
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