Question

Which congruence statement does not necessarily describe the triangles shown if Δ

DEF≈ΔFGHa.

choices are in attachment.

Answer 1

Here, Your Answer would be: Option B) ΔFDE ≈ ΔFGH

Hope this helps!

Answer 2

Option b.

Explanation:

Given information :
`\triangle DE F\cong \triangle FGH`

We need to check which congruence statement does not necessarily describe the triangles shown if
`\triangle DE F\cong \triangle FGH`.

Corresponding part of congruent triangles are congruent.

`\angle D\cong \angle F`

`\angle E\cong \angle G`

`\angle F\cong \angle H`

Using these corresponding angles we can say that

`\triangle ED F\cong \triangle GFH`

`\triangle FDE \cong \triangle HFG`

`\triangle EFD\cong \triangle GHF`

`\triangle FED\cong \triangle HGF`

In the given options
`\triangle ED F\cong \triangle GFH`,
`\triangle EFD\cong \triangle GHF` and
`\triangle FED\cong \triangle HGF` congruence statement are true.

Only
`\triangle FDE \cong \triangle FGH` does not necessarily describe the triangles.

Therefore, the correct option is b.