Question

PLZ help me on coordinate work

Answer 1

M: (-12,-19) N:(20,5)

Explanation:

M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.

20-(-3)= 23

Use the distance to find the coordinates.

-4+23= 19

N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.

-12-(-3)=-9

Use the distance to find the coordinates.

-4+9= 5

Answer 2

N=(20,5)

M=(-12,19)

Explanation:

Rectangular Coordinates

The diagram shows two identical and rotated triangles (assumed as right triangles).

We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.

The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.

The coordinates of M are (-12,y), where y = -4+23 = 19.

M=(-12,19)

The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.

The coordinates of N are (20,-4+9) = (20,5)

N=(20,5)