Math, asked by Heywhatsup12, 9 months ago

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

Answered by amitnrw
6

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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Answered by nyanzwun
6

Answer:

hiya! the answer is 1/3

Step-by-step explanation:

correct on edge!

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