Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

In the diagram shown below, ABC and ABF  BCD.
Prove: BF  CD

In The Diagram Shown Below ABC And ABF BCD Prove BF CD class=

Sagot :

It has been proven below that BF ║ CD.

    From the given diagram, we are told that;

ΔABF ≅ ΔBCD

      This means both triangles are congruent.

Now, in the two triangles, we can see that;

∠BAF ≅ ∠CBD

Because they are corresponding angles

    We also see that;

∠ABF ≅ ∠BCD

Because they are corresponding angles

Since point B is the midpoint of AC, then it means that;

AB = BC

          Thus, we can see that 2 corresponding angles are equal and the included corresponding side is also equal and as a result this fulfils the ASA Congruency Postulate.

Thus, for the fact that ∠ABF ≅ ∠BCD, it means that BF must be parallel to CD.

Read more at; https://brainly.com/question/25354248

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. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.