Question

question 6 of 50
if triangle red has vertices r(0, 0), e(-3, 4), and d(4, 6), which of the following coordinates is r of the dilation using the scale factor 0.5?
○ r (0.5, 0.5)
○ r (0, 0)
○ r (-1, -0.5)

Explanation:

Step1: Recall Dilation Rule

To dilate a point \((x, y)\) with scale factor \(k\), multiply coordinates by \(k\): \((x', y')=(k \cdot x, k \cdot y)\).

Step2: Apply to Point \(R(0, 0)\)

Given \(R(0, 0)\) and scale factor \(0.5\), calculate \(R'\):
\(x' = 0.5 \cdot 0 = 0\), \(y' = 0.5 \cdot 0 = 0\). So \(R'(0, 0)\).

Answer:

R' (0, 0) (the option with text "R' (0, 0)")