trujillo03
24.06.2019 •
Mathematics
A,b and c are the vertices of one triangle. a has a coordinate of (4,6) b has a coordinate of (2,-2) c has a coordinate of (-2,-4) d is the midpoint of ab e is the midpoint of ac prove that de is parallel to bc you must show each stage of your working out.
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Ответ:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is , then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates= and Mid Point E has coordinates=
Now, AD=
DB=
AE=
EC=
Now,
=
Hence,
Thus, By basic proportionality theorem, DE is parallel to BC.
Ответ:
Step-by-step explanation:
If DE and BC are parallel, then they have the same slope.
We have
A(4, 6), B(2, -2), C(-2, -4)
The formula of a midpoint:
D is the midpoint of AB, and E is a midpoint of AC.
Calculate the coordinateso fo D and E:
The formula of a slope:
Calculate the formula of a DE and BC:
The slope DE and the slope BC are the same.
Therefore DE is parallel to BC.
Ответ:
200 ft²
Step-by-step explanation:
The area of a rectangle is length times width
So, simply do 25 * 8 = 200