Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

These triangles are congruent by the triangle congruence postulate [?]

These Triangles Are Congruent By The Triangle Congruence Postulate class=

Sagot :

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

[tex]AB\cong CD[/tex]                   (Given)

[tex]\angle BAC\cong \angle DCA[/tex]                   (Given)

[tex]AC\cong AC[/tex]                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

[tex]\Delta ABC\cong \Delta CDA[/tex]            [SAS congruence postulate]

Therefore, the correct option is B.

View image erinna
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.