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the figure shows a model of a roof truss. based on the markings. which triangle are congruent? state the reason.

the figure shows a model of a roof truss. based on the markings. which triangle are-example-1
User Buddah
by
2.5k points

1 Answer

22 votes
22 votes

Solution

From the info given the only statement that could be correct is:

C) AFE, DFE, DHG, BHG; Reason HL

And thats because there is the only case when we can see all the info required in order to conclude that triangles can be congruent. One leg equal and the hypothenuse congruent for all the possible triangles compared

AFE is congruent to DFE

Reason: AE = ED (Hipothenuse =H)

EF= EF

We ave two right triangles

DHG is congruent to BHG

Reason: DG= BG (Hipothenuse =H)

GH= GH

We ave two right triangles

By transitivity then we satisfy that;:

AFE, DFe, DHG and BHG are congruent triangles

the figure shows a model of a roof truss. based on the markings. which triangle are-example-1
User Saleem Khan
by
3.1k points