Math, asked by shivani167, 1 year ago

Explain congruence rules of triangle

1.SAS
2.AAS
3.ASA
4.RHS

Answers

Answered by Anonymous
3
Hey friend ☺

Here's ur answer. .

1.SSS (Side-Side-Side):
If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

2.SAS (Side-Angle-Side):
If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

3.ASA (Angle-Side- Angle)
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side include between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

4.RHS (Right angle- Hypotenuse-Side)
If the hypotenuse and side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, the right triangles are said to be congruent by RHS rule.

Hope it helps you!!
#Shweta✌.
Answered by Deepsbhargav
0
here is your answer ....

(1) SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

(2)AAS (Angle-Angle-Side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. AAS is equivalent to an ASA condition, by the fact that if any two angles are given, so is the third angle, since their sum should be 180°.

(3) ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

(4) RHS (Right-angle-Hypotenuse-Side), also known as HL (Hypotenuse-Leg): If two right-angled triangles have their hypotenuses equal in length, and a pair of shorter sides are equal in length, then the triangles are congruent.
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