See the attached picture:
When figures are congruent, they have the same shape and size. All measures of one of the figures are identical to the corresponding measures of the other.
Of these statements, the following must be true ...
- B. The corresponding sides of the triangles are congruent
- C. The corresponding angles of the triangles are congruent
- D. The triangles have the same shape and size
The slope point form is
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
m is the slope
x1, y1 are the coordinates of a point on the line
The slope of the line is -1
m = -1
point (-5, -4) lies on the line
x1 = -5 and y1 = -4
Let us substitute them in the form above
![y-(-4)=-1(x-\lbrack-5\rbrack)](https://tex.z-dn.net/?f=y-%28-4%29%3D-1%28x-%5Clbrack-5%5Crbrack%29)
Remember (-)(-) = (+)
![y+4=-1(x+5)](https://tex.z-dn.net/?f=y%2B4%3D-1%28x%2B5%29)
The equation of the line in the slope-point form is y + 4 = -1(x + 5)
What you want to first is substitute the numbers in for the variables in the equation
Since b= -5 , we will plug it in for -b
-5 + c = -13x
Now plug in -8 for c
-5 + (-8) = -13x
Add the numbers on the left side, which gives you -13.
-13 = -13x
Lastly, divide both sides by -13x, which will give you 1.
So x = 1