From the calculations below, we see that the slopes of DF and AC are; 2
How to find the slope of the triangle?
We know that the formula that is used to find the slope of two coordinates on a straight line is given by;
m = (y₂ - y₁)/(x₂ - x₁)
Now, from the attached image showing both congruent triangles, we can see that the coordinate points are;
Point A(1, 1)
Point C(3,5)
Point D(-2,-4)
Point F(0,0)
1) Let us find the slope FD by applying the slope formula above to get;
m = (y₂ - y₁)/(x₂ - x₁)
m = (0 + 4)/(0 + 2)
m = 4/2
m = 2
2) Let us find the slope AC by applying the slope formula above to get;
find the slope AC
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 1)/(3 - 1)
m = 4/2
m = 2
Thus;
m_AC = m_FD
Therefore we conclude that the slope FD is also 2
Read more about Triangle Slope at; https://brainly.com/question/3493733
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