50 POINTS A coordinate plane is shown. Triangle ABC Is formed by the points 2 comma 5, 2 comma 3 and 4 comma 3. Triangle 2 is formed by the points negative 3 comma 5, negative 3 comma 3, and negative1 comma 3. Triangle 1 is formed by the points negative 4 comma 5, negative 4 comma 3, and negative 6 comma 3. Triangle 3 is formed by the points negative 6 comma 2, negative 4 comma 2, and negative 4 comma 0. Triangle 4 is formed by the points 2 comma negative 1, 4 comma negative 1 and 4 comma negative 3.

Which of the four triangles was formed by a translation of Triangle ABC?

1
2
3
4

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points