Question

Select the correct answer from each drop-down menu.Given: and Prove:

Answer 1

Given that,

`GH\cong JH`

GH and JH are congruent.

`IG\cong IJ`

IG and IJ are congruent.

The third side of the triangle GHI is HI and also for the triangle JHI is HI

HI is common for both the triangle GHI and triangle JHI.

we get,

`HI\cong HI`

By using SSS congrurnce criteria: SSS (Side – Side – Side) Congruence. If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

we conclude that,

`\Delta GHI\cong\Delta JHI`

Hence proved.