Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

dilate △fgh by a scale factor of 4 with the center of dilation at the o…
27,802 Learners found this answer helpful

Question

dilate △fgh by a scale factor of 4 with the center of dilation at the origin. how can you use the coordinates of point f to find the coordinates of point f? add 4 to each coordinate. subtract 4 from each coordinate. multiply each coordinate by 4. divide each coordinate by 4. g(-1,0) f(-2,-1) h(-1,-2)

Explanation:

Step1: Recall the rule for dilation

When dilating a point \((x,y)\) with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula for the new coordinates \((x',y')\) is \((x',y')=(k\times x,k\times y)\).

Step2: Apply the rule to point \(F\)

Here, \(k = 4\) and point \(F\) has coordinates \((- 2,-1)\). To find \(F'\), we use the formula. So we need to multiply each coordinate of \(F\) by \(4\).

Answer:

C. Multiply each coordinate by 4.