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While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.

Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent

While making a sketch for art class Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent After labeling the figure he class=

Respuesta :

The two triangles have a pair of corresponding sides as well as the

included angles between them that are equal.

Justin could prove that ΔDEH ≅ ΔFGH by A. SAS

Reason:

The known information are;

DF bisects GE, therefore; GH = EH

GE bisects DF, therefore; DH = FH

∠DHE = ∠FHG by vertical opposite angle theorem

Therefore;

DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH

∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH

Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.

Therefore;

ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem

Learn more here:

https://brainly.com/question/14418374

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The answer would be SAS


Step-by-step explanation: SAS

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