Why do valid straightedge and compass moves guarantee everyone will produce the same construction?

They do not involve any estimation but to do a specific move.

Step-by-step explanation:

A valid straightedge refers to a drawing tool used for drawing straight lines or for checking the straightness of a line.

A compass, on the other hand, is an instrument often used to measure distance or to draw lines on the radius of a circle.

Therefore, by having a specific measuring or drawing length straightedge and compass moves guarantees everyone will produce the same construction.

i am currently in the exact same situation rn. algebra2/adv algebra is killing

step-by-step explanation:

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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