Question

directions - dilate △abc by a scale factor of 4, centered at the origin: (a) click to select △ polygon abc

Explanation:

Step1: Find coordinates of \( \triangle ABC \)

From the graph, \( A(1,0) \), \( B(1, - 1) \), \( C(3,-2) \)

Step2: Apply dilation formula

The formula for dilation centered at the origin with scale factor \( k \) is \( (x,y)\to(kx,ky) \). Here \( k = 4 \)

• For point \( A(1,0) \): \( (1\times4,0\times4)=(4,0) \)
• For point \( B(1,-1) \): \( (1\times4,-1\times4)=(4,-4) \)
• For point \( C(3,-2) \): \( (3\times4,-2\times4)=(12,-8) \)

Answer:

The vertices of the dilated triangle are \( (4,0) \), \( (4,-4) \), \( (12,-8) \)