Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A perpendicular bisector of DC is AB and a perpendicular bisector of AB is DC. the intersection of AB and DC is at E. Which equation is true?

EB =CD
AE= DE
DE = CE
CD= CE
AB=CD

Sagot :

Answer: DE = CE

Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.

varshamittal029

DE = CE is true.

A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.

Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.

This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.

Now, since AB bisects DC at point E

⇒ DE = CE

and similarly, DC bisects AB

⇒ AE = BE

Apart from these two equalities, we cannot infer anything else from the given information.

Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.

Learn more about perpendicular bisectors here-

https://brainly.com/question/11006922

#SPJ9

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.