Question

write the proof of RHS congruence rule with diagram
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Answer 1

Step-by-step explanation:

Theorem: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

Answer 2

Answer:

RHS Congruence Rule

Theorem: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles

Draw a ∆LMN with ∠M = 90°, LM = 3cm LN = 5 cm,

Also, draw another ∆XYZ with ∠Y = 90°, XY = 3cm and XZ = 5cm.

We see that ∠M = ∠Y, LM = XY and LN = XZ.

Make a trace copy of ∆XYZ and try to make it cover ∆LMN with X on L, Y on M and Z on N.

We observe that: Two triangles cover each other exactly.

Therefore, ∆LMN ≅ ∆XYZ