Answer:
D. The slope of AC = The slope of DF
Step-by-step explanation:
Given
Parallel lines AC and DF
Required
What is the missing statement for step 6?
The question seem incomplete; however one can deduce from the list of options that the requirement of the question is to state the condition for parallel lines;
Let [tex]m_1[/tex] and [tex]m_2[/tex] represent the slope of AC and DF resoectively
The condition for parallel line is such that
[tex]m_1 = m_2[/tex]
This implies that
the slope of AC = the slope of DF
From the list of given options, option D correctly answers the question
Based on the relationship between slopes and parallel lines, we can deduce that the missing statement is given by: the slope of AC = The slope of DF.
Mathematically, the slope of a line is calculated by using the following 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]
In Geometry, two lines are considered to be parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
Based on the above conditions, we can deduce that the missing statement is given by:
The slope of AC = The slope of DF.
Read more on slope here: brainly.com/question/3493733
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