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What additional information is needed to prove that the triangles are similar?

To prove TriangleDEF ~ TriangleJKL by SAS, we would need to show that DE/JK = .

To prove TriangleDEF ~ TriangleJKL by AA, we would need to show that angle E ≅ or that angle F ≅ .

Respuesta :

Answer:

DF/JL

Angle K

Angle L

Step-by-step explanation:

shristiparmar1221

This question is based on the SAS rule and AA rule. Therefore, the answers is [tex]\bold{\dfrac{DE}{JK} = \dfrac{DF}{JL}}[/tex] and angle K ≅  angle L.

Given;

To prove Triangle DEF ~ Triangle JKL by SAS, we would need to show that [tex]\dfrac{DE}{JK} =[/tex]

To prove Triangle DEF ~ Triangle JKL by AA, we would need to show that angle E ≅ or that angle F ≅ .

According to the question,

  • By using  SAS rule,

It states that, If two sides and the one angle of one triangle are equal to two sides and one angle of another triangle, then the triangles are congruent.

Therefore,

To prove Triangle DEF ~ Triangle JKL, by SAS rule , we would need to show that,

[tex]\bold{\dfrac{DE}{JK} = \dfrac{DF}{JL}}[/tex]

  • By using  AA rule,

It states that, In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .

Thus, to prove Triangle DEF ~ Triangle JKL by AA, we would need to show that angle E ≅ or that angle F ≅ angle K ≅  angle L.

Therefore, the answers is [tex]\bold{\dfrac{DE}{JK} = \dfrac{DF}{JL}}[/tex] and angle K ≅  angle L.

For more details, prefer this link:

https://brainly.com/question/16276912

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