Question

Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime?

(pic in replies)

segment AC over segment A double prime C double prime = 2
segment A double prime C double prime over segment AC = one half
segment AC = segment A double prime C double prime over 2
segment A double prime C double prime = segment AC over 2

Answer 1

AC is 6 units long as the diagram indicates
The scale factor 2 means when we dilate, the length of A''C'' will be 2*6 = 12 units long

So,
A''C'' = 2*AC

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
AC is 6 units long as the diagram indicates
The scale factor 2 means when we dilate, the length of A''C'' will be 2*6 = 12 units long

So,
A''C'' = 2*AC
\(\color{#0cbb34}{\text{End of Quote}}\)
so D?

Answer 3

We can divide both sides by 2 to get
\(A''C'' = 2*AC\)

\(\frac{A''C''}{2} = \frac{2*AC}{2}\)

\(\frac{A''C''}{2} =AC\)

\(AC = \frac{A''C''}{2}\)
This means that if we know how long A''C'' is, then we divide by 2 to get the length of AC

Answer 4

IS IT D OR NOT-

Answer 5

im just getting more confused-

Answer 6

no, the answer isn't D

Answer 7

C?

Answer 8

yes