Question

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dilate △fgh by a scale factor of 4 with the center of dilation at the origin.
point f: (-8, -4)
what are the coordinates of point g and point h?
point g: (, )
point h: (, )

Explanation:

Step1: Recall the dilation formula

When dilating a point \((x,y)\) with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula is \((x',y')=(k\times x,k\times y)\). Here \(k = 4\).

Step2: Find the coordinates of \(G'\)

For point \(G(-1,0)\), using the formula \((x',y')=(4\times(-1),4\times0)\).

$$x'=-4,y' = 0$$

Step3: Find the coordinates of \(H'\)

For point \(H(-1,-2)\), using the formula \((x',y')=(4\times(-1),4\times(-2))\).

$$x'=-4,y'=-8$$

Answer:

Point \(G'(-4,0)\) and Point \(H'(-4,-8)\)