Triangle xyz is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. which statement describes the properties of triangles xyz and x''y''z'' after the transformations? y and ∠y'' are congruent after the translation, but not after the dilation. ∠y and ∠y'' are congruent after the dilation, but not after the translation. segment yz and segment y double prime z double prime are proportional after the translation, but not after the dilation. segment yz and segment y double prime z double prime are proportional after the dilation and congruent after the translation.

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step-by-step explanation:

∠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.

me! what did you put for this question?

step-by-step explanation: