Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not. Given: The given vertices are M(1,4), P(2,2), Q(5,5), S(-3,6),T(0,0),U(9,9)

Wribreeminsl 2020-12-28 Answered
Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not.
Given:
The given vertices are
M(1,4), P(2,2), Q(5,5), S(-3,6),T(0,0),U(9,9)
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Expert Answer

Aubree Mcintyre
Answered 2020-12-29 Author has 73 answers

Calculation:
The graph for the given points M(1,4), P(2,2), Q(5,5), S(-3,6),T(0,0),U(9,9) is given below.
image
Find the distance(using distance formula) of corresponding sides and find the ratio.
ST=(30)2+(60)2=45=35
MP=(12)2+(42)2=5
MPST=535=13
SU=(39)2+(69)2=153=317
MQ=(15)2+(45)2=17
MQSU=17317=13
TU=(09)2+(09)2=162=92
PQ=(25)2+(25)2=32
PQTU=3292=13
From the above result, the lenght of the sides are proportional.
By the use of SSS similarity,
MPQSTU.
Hence the dilation is a similarity transformation.

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