Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.