Which three side lengths best describe the triangle in the diagram? O NCHES
1
2.
Do 1 2
?
4
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N
SBON
out 3
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o A. 4 cm, 5 cm, and 6 cm
O B. 3 cm, 4 cm, and 3 cm
O C. 6 cm, 6 cm, and 6 cm
O D. 5 cm, 5 cm, and 5 cm

D

Step-by-step explanation:

All sides are congruent so this is a equalaterial triangle so A and B are wrong.

The sides measure 5 so C is Wrong.

D is the correct answer.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

bob the banana