Question

Does anyone want to help?

Part A: What is the scale factor to get from ABC to A'B'C'? Show all work of how you arrived at your answer (4 points)



Part B: What kind of dilation occurred between ABC and A'B'C'? (2 points)



Part C: Find x, showing all work (2 points)



Part D: Find y, showing all work (2 points)

Answer 1

Part A) The scale factor is equal to
`2`

Part B) Is an enlargement

Part C) The value of x is
`3.16\ units`

Part D) The value of y is
`11.66\ units`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Part A) What is the scale factor to get from ABC to A'B'C'?

Let

z-----> the scale factor

`z=(B'C')/(BC)`

substitute the values

`z=(8)/(4)=2`

Part B) What kind of dilation occurred between ABC and A'B'C'?

Is an enlargement because the scale factor is greater than 1

Part C) Find x

we know that

`(A'B')/(AB)=(B'C')/(BC)`

substitute the values

`(6.32)/(x)=(8)/(4)`

`x=6.32/2=3.16\ units`

Part D) Find y

we know that

`(A'C')/(AC)=(B'C')/(BC)`

substitute the values

`(y)/(5.83)=(8)/(4)`

`y=5.83*2=11.66\ units`