Question

graphing a reduction with given scale factor
the triangle shown is a pre - image.
apply a scale factor of 1/2 to find the image of point a.
(0, 0)
(3, -2.5)
(0, -2.5)
(0, -10)

Explanation:

Step1: Identify coordinates of point A

From the graph, point A is at \((0, -5)\) (assuming each grid square represents 1 unit, and it's 5 units down the y - axis from the origin).

Step2: Apply scale factor

To find the image of a point \((x,y)\) after a dilation with scale factor \(k\), we use the formula \((kx,ky)\). Here, \(k = \frac{1}{2}\), \(x = 0\) and \(y=- 5\).
So, the new \(x\) - coordinate is \(\frac{1}{2}\times0 = 0\) and the new \(y\) - coordinate is \(\frac{1}{2}\times(-5)=- 2.5\).

Answer:

\((0, - 2.5)\) (corresponding to the option \((0, - 2.5)\))