Statement Reason
1. Define the vertices of ∆ABC to have unique
points A(x1, y1), B(x2, y2), and C(x3, y3). given
2. Let D be the midpoint of and E be the
midpoint of . defining midpoints
3.
definition of midpoints
4. slope of
slope of definition of slope
5. slope of = slope of Transitive Property of Equality
6. definition of parallel lines
7. Let F be the midpoint of . defining a midpoint
8. definition of midpoint
9. slope of
slope of definition of slope
10.
11. definition of parallel lines
12. Similarly, is parallel to . steps similar to steps 1−11

What is the missing step in this proof?

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

What is the transitive property of equality?

The transitive property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can infer and logically deduce that the missing step in the proof above is given by:

Statement: slope of DF = slope of BC.
Reason: Transitive Property of Equality.

Read more on the transitive property of equality here: https://brainly.com/question/26735642

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