Question

1. dilate kite efgh

center of dilation: (0, 0) scale factor: 2
e: ________
f: (0,1)
g: ________
h: (0,-1)

Explanation:

Step1: Find coordinates of original points

From the graph, we can determine the coordinates of the original points:

• \( E(-3, 1) \)
• \( F(0, 4) \) (assuming the original F is at (0,4) as the previous wrong answer was corrected)
• \( G(3, 1) \)
• \( H(0, -2) \) (assuming the original H is at (0,-2) as the previous wrong answer was corrected)

Step2: Apply dilation formula

The formula for dilation with center \((0,0)\) and scale factor \(k\) is \((x,y)\to(kx,ky)\). Here, \(k = 2\).

For \( E(-3, 1) \):

\( E'=(2\times(-3),2\times1)=(-6, 2) \)

For \( F(0, 4) \):

\( F'=(2\times0,2\times4)=(0, 8) \)

For \( G(3, 1) \):

\( G'=(2\times3,2\times1)=(6, 2) \)

For \( H(0, -2) \):

\( H'=(2\times0,2\times(-2))=(0, -4) \)

Answer:

\( E'(-6, 2) \), \( F'(0, 8) \), \( G'(6, 2) \), \( H'(0, -4) \)