Question 3 of 15 Submit Test
Which words correctly
complete the statement below?
APOR Is dilated with the center of dilation at the origin and a scale factor of 0.5 to obtain APO'R', The triangles'
corresponding angles are
and their corresponding sides are
therefore, the triangles are
o congruent; proportional; similar
congruent, congruent; congruent
proportional; proportional; similar
proportional, congruent; congruent

The triangles' corresponding angles are and their corresponding sides are therefore, the triangles are congruent; proportional; similar

∠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.

the answer is: the length is 5/6 yards.

give me a or a 5 star rating if this is correct!

step-by-step explanation: