Question

pass geometry a module 2 assessment. if triangle abc is dilated by a scale factor of 3.5 about the origin, where is the image of point a and point c? a= c=

Explanation:

Step1: Determine coordinates of A and C

From the graph, point A has coordinates (3, 2) and point C has coordinates (0, - 2).

Step2: Apply dilation formula

The formula for dilation about the origin with scale - factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = 3.5\).
For point A\((3,2)\), \(A'=(3.5\times3,3.5\times2)=(10.5,7)\)
For point C\((0, - 2)\), \(C'=(3.5\times0,3.5\times(-2))=(0,-7)\)

Answer:

\(A'=(10.5,7)\), \(C'=(0, - 7)\)