Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

reinhard10158

Step-by-step explanation:

due to the 90° rotation around the point (0, 1) both lines are perpendicular (intersecting each other at 90°).

and perpendicular slopes are reciprocal with opposite signs :

a/b and -b/a

remember, the slope is the ratio

(y coordinate change / x coordinate change)

when going from one point on the line to another.

the slope of BC is B (4, 5) to C (1, 2)

x changes by -3 (from 4 to 1)

y changes by -3 (from 5 to 2)

the slope is

-3/-3 = 3/3 = 1/1 = 1

the slope of EF is E (5, -4) to (2, -1)

x changes by -3 (from 5 to 2)

y changes by +3 (from -4 to -1)

the slope is

+3/-3 = 1/-1 = -1/1 = -1

so, it matches the defined criteria for a perpendicular slope.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.