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 V(-3,4),W(-5,0),X(1,2),Y(-6,-2),Z(3,1)

midtlinjeg 2020-11-20 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
V(-3,4),W(-5,0),X(1,2),Y(-6,-2),Z(3,1)
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Expert Answer

firmablogF
Answered 2020-11-21 Author has 92 answers

Calculation:
The graph for the given points V(-3,4),W(-5,0),X(1,2),Y(-6,-2),Z(3,1) is given below.
image
Find the distance(using distance formula)of corresponding sides and find the ratio.
VY=[3(6)]2+[4(2)]2=45=35
VW=[3(5)]2+(40)2=20=25
VWVY=2535=23
VZ=(33)2+(41)2=45=35
VX=(31)2+(42)2=20=25
VXVZ=2535=23
V=V
From the above result, the lenght of the sides are proportional and the angles between them are congruent.
By the use of SAS similarity,
ADEABC.
Hence the dilation is a similarity transformation.

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