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Post Test: Transformations
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Which sequences of transformations applied to shape I prove that shape Iis similar to shape Il?
a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2
a reflection across the x-axis and then across the y-axls, and then a dilation by a scale factor of 2
a 180counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
a reflection across the y-axis, and then a dilation by a scale factor of 2
a reflection across the x-axis, and then a dilation by a scale factor of 2
Res

∠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.

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

tip $2.90

total $17.40