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The ratios of corresponding sides in the two triangles are equal.


Triangles F G E and I J H are shown. The length of side G F is 15 and the length of side I J is 10. The length of F E is 30 and the length of I H is 20.


What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem?


∠F ≅ ∠J

∠I ≅ ∠F

∠E ≅ ∠H

∠G ≅ ∠I

Respuesta :

Hrishii

Answer:

∠I ≅ ∠F

Step-by-step explanation:

Since, F is common vertex in the sides GF and FE of triangle FGE and I is common vertex in the sides IJ and IH of triangle IJH.

Hence, ∠I ≅ ∠F will be the required information to prove that △FGE ~ △IJH by the SAS similarity theorem.

abidemiokin

The other information needed to prove that △FGE ~ △IJH by the SAS similarity theorem will be  ∠I ≅ ∠F

Similarity theorem of a triangle

The ratio of similar sides of similar triangles are equal.

According to the given question, the angle F serves as a common vertex with the sides GF and FE of triangle FGE and also I serve as the common vertex with the sides IJ and IH of triangle IJH.

The other information needed to prove that △FGE ~ △IJH by the SAS similarity theorem will be  ∠I ≅ ∠F

Learn more on SAS similarity theorem here: https://brainly.com/question/16302380

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