Which of the following is defined by a line divides two sides of a triangle proportionally, then it is parallel to the third?

Triangle proportionality theorem converse

Step-by-step explanation:

Triangle proportionality theorem converse:

It states that when a line divides the two sides of triangle proportionally, then the line is parallel to the third side of a triangle .

Mathematically representation:In triangle RQS

If

Then, TU is parallel to QS.

Triangle proportionality theorem converse

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:

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.