graph the image of $\\triangle tuv$ after a dilation with a scale factor of 3, centered at the origin.
graph the image of $\\triangle tuv$ after a dilation with a scale factor of 3, centered at the origin.
Answer
Explanation:
Step1: Identify original coordinates
From graph: ( T(-4, -1) ), ( U(3, -1) ), ( V(-4, 2) )
Step2: Apply dilation (scale factor 3)
Multiply each coordinate by 3:
( T' = (-4×3, -1×3) = (-12, -3) )
( U' = (3×3, -1×3) = (9, -3) )
( V' = (-4×3, 2×3) = (-12, 6) )
Step3: Plot new triangle
Connect ( T'(-12,-3) ), ( U'(9,-3) ), ( V'(-12,6) )
Answer:
The image of ( \triangle TUV ) after dilation has vertices ( T'(-12, -3) ), ( U'(9, -3) ), ( V'(-12, 6) ). Plot these points and connect them to form the dilated triangle.