Elias's teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct? Explain.

He is wrong. A transformation is a reduction when the scale factor is between -1 and 1. If the scale factor is greater than 1, then it's a dilation.

In this case, the scale factor is a fraction, but fractions can represent numbers outsise the [-1,1] interval.

In this case, in fact, 8/3 is an improper fraction, meaning exactly that it represents a number greater than 1.

So, this transformation is a dilation, becase the scale factor 8/3 is greater than 1.

Elias is not correct. A scale factor of 8/3 is an enlargement because it is greater than 1. A reduction has a scale factor between 0 and 1.

I hope this helps. could I please have a brainliest? It would mean a whole lot to me.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d