Triangle STV was dilated with the origin as the center of dilation to form Triangle S'T'V'.
On a coordinate plane, triangles S T V and S prime T prime V prime are shown. Triangle S T V has points (0, 6), (negative 3, negative 6), and (3, negative 6). Triangle S prime T prime V prime has points (0, 2), (negative 1, negative 2) and (1, negative 2).
What is the scale factor of the dilation?
One-third
Two-thirds
Three-halves
Three
Answers
Given : Triangle STV was dilated with the origin as the center of dilation to form Triangle S'T'V'. Coordinates of STV & S'T'V'
To find : Dilation Factor
Solution:
S = ( 0 , 6)
T = ( - 3 , -6)
V = ( 3 , - 6)
ST = √(-3 - 0)² + (-6 - 6)² = √153 = 3√17
SV = √(3 - 0)² + (-6 - 6)² = √153 = 3√17
TV = √(3 +3 )² + (-6 + 6)² = 6
S' = (0 , 2)
T' = (-1, -2)
V' = (1 , - 2)
S'T' = √(-1 - 0)² + (-2 - 2)² = √17
S'V' = √(1 - 0)² + (-2 - 2)² = √17
T'V' = √(1 + 1 )² + (-2 + 2)² = 2
S'T'/ST = S'V'/SV = T'V' /TV = 1/3
New Triangle is 1/3 of original Triangle
Hence dilation Factor = one third = 1/3
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Answer:
hiya! the answer is 1/3
Step-by-step explanation:
correct on edge!