Are triangles def and lnm similar if df = 8 and lm = 4?
a) yes, by sas similarity postulate
b) yes, by the definition of similarity
c) no, the corresponding side are not proportional
d) not enough information

answer:

should be yes by sas.hope that

answer:

d. not enough information

step-by-step explanation:

first off, the picture already tells us that:

∠fed = 90°

∠fed ≅ ∠mnl

we can also learn that df and lm are corresponding sides since they're both the hypotenuse of their triangles.

df ~ lm

however, we don't have enough information to figure out if the two triangles are similar since we have no way of finding the measurements of the other sides.

~hope this ! ~

(btw, i'm pretty sure this is correct but if not, correct me)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3