Suppose that m∠C = m∠F. Which other fact would guarantee that the triangles are SIMILAR? A) CB FE = AB DE B) m∠B = m∠E C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Question

25-04-2017
Mathematics

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Suppose that m∠C = m∠F. Which other fact would guarantee that the triangles are SIMILAR? A) CB FE = AB DE B) m∠B = m∠E C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

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lopez77stephanie lopez77stephanie · Answer 1 · 2018-04-22T23:09:52+02:00

lopez77stephanie lopez77stephanie

22-04-2018

b because when u know more than one angle u know they are the similar

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-02-04T11:06:35+01:00

Answer:

The correct option is B.

Step-by-step explanation:

Given information: [tex]\angle C=\angle F[/tex].

Two triangles are similar if their corresponding angles are same or their corresponding sides are proportional.

Case 1: According to the AA rule similarity, two triangles are similar if two corresponding angles are same.

In triangle ABC and triangle DEF, if

[tex]\angle B=\angle E[/tex]

then, by AA rule triangle ABC and triangle DEF are similar. Therefore option B is correct.

Case 2: According to the SAS rule similarity, two triangles are similar if two corresponding sides are proportional and the including angles are same.

In triangle ABC and triangle DEF, if

[tex]\frac{CB}{FE}=\frac{AC}{DF}[/tex]

then by SAS rule triangle ABC and triangle DEF are similar. Therefore option A is incorrect.