Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite and reciprocal slopes. You must show all of your work to receive credit.

Triangle ABC Has Been Rotated 90 To Create Triangle DEF Using The Image Below Prove That Lines BC And EF Have The Opposite And Reciprocal Slopes You Must Show A class=

Sagot :

akposevictor

Slope of CB × Slope of FE = 1 × (-1) = -1 [opposite and reciprocal slopes].

What is the Slope of a Line?

Slope of a line = vertical distance along the line / horizontal distance across the line = change in y / change in x.

What are Opposite and Reciprocal Slopes?

If a line has a slope of -3, the opposite and reciprocal of -3 is 1/3. Thus, if two slopes are opposite and reciprocals, when multiplied together, we would get -1.

For example, -3 × 1/3 = -1.

Find the slope of CB:

Slope of CB = change in y/change in x = (2 - 5)/(1 - 4)

Slope of CB = (-3)/(-3)

Slope of CB = 1

Find the Slope of FE:

Slope of FE = change in y/change in x = (-1 -(-4))/(2 - 5)

Slope of FE = (3)/(-3)

Slope of FE = -1

Slope of CB × Slope of FE = 1 × (-1) = -1 [opposite and reciprocal slopes].

Learn more about the slope of a line on:

https://brainly.com/question/3493733

#SPJ1

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.