Question

Use the image to answer the question.

Smaller solid triangle upper A upper B upper C is graphed within larger dotted triangle upper A prime upper B prime upper C prime on a coordinate plane.
▶Click for Long Desc

In the image, triangle ABC
is dilated with reference to the origin to create triangle A′B′C′
. What is the magnitude of dilation?

(1 point)
Triangle ABC
is dilated using a magnitude of
, which results in triangle A′B′C′
.
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Answer 1

I can't see the image you mentioned. To find the dilation magnitude (scale factor) about the origin you can either upload the image or tell me coordinates of one pair of corresponding vertices (for example A and A′).

Method: if A = (x,y) and A′ = (x′,y′) then the scale factor k = x′/x (if x ≠ 0) — equivalently k = y′/y (if y ≠ 0). You can also compute k = distance(O,A′)/distance(O,A) where O is (0,0).

If you give one pair of corresponding vertex coordinates (A and A′, B and B′, or C and C′) I will compute k.