Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector of AB is true. Select all statements that must be true.A: AM=BMB: CM = DMC: EA=EMD: EA BM

In This Diagram Line Segment CD Is The Perpendicular Bisector Of Line Segment AB Assume The Conjecture That The Set Of Points Equidistant From A And B Is The Pe class=

Sagot :

ANSWER and EXPLANATION

We have that CD is a bisector of AB. This means that it divides AB into two equal parts.

M lies on CD.

E is placed at a point equidistant to A and M. That means that the distance from A to E is the same as M to E

=> AM = BM

This is true since M lies on CD. That means it is equidistant from A and B.

=> CD = DM

This is true because M also lies at a point that is equidistant to point C and D.

=> EA = EM

This is true because as stated earlier, E is placed at a point equidistant to A and M.

=> EA < EB

This is true since E is closer to A than it is to B. So the distance from E to A is less than that from E to B.

=> AM < AB

This is true because AM is shorter than AB as the diagram shows.

=> AM > BM

This is false because we have shown that AM is in fact equal to BM.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.