Answer:
<u>D1.8(5, 10) = (9, 18)</u>
Step-by-step explanation:
It is required to find which rule represents a dilation with respect to the origin.
So, the corresponding value of x and and y should be in proportion and should be equal the dilation ratio.
Check the options to find the true rules:
1) D1.8(5, 10) = (9, 14)
9/5 = 1.8 , 14/10 = 1.4 ⇒ 9/5 ≠ 14/1 ⇒ <u>Wrong </u>rule
2) D1.8(5, 10) = (9, 18)
9/5 = 1.8 , 18/10 = 1.8 ⇒ 9/5 = 18/10 = 1.8 ⇒ <u>True </u>rule because of D1.8
3) D1.8(5, 10) = (13, 18)
13/5 = 2.6 , 18/10 = 1.8 ⇒ 13/5 = 18/10 ⇒ <u>Wrong </u>rule
4) D1.8(5, 10) = (13, 26)
13/5 = 2.6 , 26/10 = 2.6 ⇒ (13/5 = 26/10) but ≠ 1.8 ⇒ <u>Wrong </u>rule
So, The rule which represents a dilation with respect to the origin is:
<u>D1.8(5, 10) = (9, 18)</u>
