graph the image of kite abcd after a dilation with a scale factor of 4, centered at the origin.
graph the image of kite abcd after a dilation with a scale factor of 4, centered at the origin.
Answer
Explanation:
Step1: Identify original coordinates
Let's assume the coordinates of the vertices of kite (ABCD) are (A(0, - 2)), (B(2,0)), (C(0,1)), (D(-2,0)) (by observing the graph).
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(0,-2)): ((0\times4,-2\times4)=(0,-8)) For point (B(2,0)): ((2\times4,0\times4)=(8,0)) For point (C(0,1)): ((0\times4,1\times4)=(0,4)) For point (D(-2,0)): ((-2\times4,0\times4)=(-8,0))
Step3: Graph new points
Plot the points ((0, - 8)), ((8,0)), ((0,4)), ((-8,0)) on the coordinate - plane and connect them to form the dilated kite.
Answer:
Plot the points ((0,-8)), ((8,0)), ((0,4)), ((-8,0)) and connect them to get the dilated kite.