Answered

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Lydia graphed ΔDEF at the coordinates D (−2, −1), E (−2, 2), and F (0, 0). She thinks ΔDEF is a right triangle. Is Lydia's assertion correct? Yes; the slopes of segment EF and segment DF are opposite reciprocals. Yes; the slopes of segment EF and segment DF are the same. No; the slopes of segment EF and segment DF are not opposite reciprocals. No; the slopes of segment EF. and segment DF are not the same.

Sagot :

MrRoyal

Lydia's claim is incorrect, and the true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

Right triangles

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

  • D = (-2,-1)
  • E = (-2,2)
  • F = (0,0)

Slopes

Start by calculating the slopes of DF and EF using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m_{DF} = \frac{0 + 1}{0 +2}[/tex]

[tex]m_{DF} = \frac{1}{2}[/tex]

Also, we have:

[tex]m_{EF} = \frac{0 -2 }{0+2}[/tex]

[tex]m_{EF} = \frac{-2 }{2}[/tex]

[tex]m_{EF} = -1[/tex]

Notice that the slopes of both lines are not opposite reciprocals.

Hence, the Lydia's claim is incorrect

Read more about right triangles at:

https://brainly.com/question/17972372

Answer:

option c

Step-by-step explanation:

i did the test

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