Point T is on line segment \overline{SU} SU . Given SU=4x+1,SU=4x+1, TU=3x, TU=3x, and ST=3x-1,ST=3x−1, determine the numerical length of \overline{SU}. SU

The numerical length of SU =

5 units

Step-by-step explanation:

Here, we want to get the length of point SU

mathematically;

SU = ST + TU

4x + 1 = 3x -1 + 3x

4x + 1 = 6x - 1

6x-4x = 1 + 1

2x = 2

x =2/2 = 1

But SU = 4x + 1 = 4(1) + 1 = 5 units

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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