Given: collinear points d, e and f. conjecture: de+ef= df true or false

True

Step-by-step explanation:

It is given in the question that D, E, and F are collinear points.

This is a piece of incomplete information because the point E may lie between D and F or, point E may also lie outside DF.

Therefore, the conclusion or conjecture can be made from the above incomplete information that DE + EF = DF is true provided E lies between D and F. (Answer)

Since D, E, and F are given in order, then we can assume that E lies between D and F.  

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

source:

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6: 4= 3/2

18: 8= 9/4

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