79.3k views
0 votes
Write a statement that indicates that the triangles in each pair are congruent, please

Write a statement that indicates that the triangles in each pair are congruent, please-example-1
User Robro
by
8.0k points

1 Answer

5 votes

Final answer:

To indicate that two triangles are congruent, write a statement using the congruence symbol and the corresponding parts of the triangles.

Step-by-step explanation:

In order to indicate that two triangles are congruent, you can write a statement using the congruence symbol (≅) and the corresponding parts of the triangles. For example, if triangles ABC and DEF are congruent, you can write: △ABC ≅ △DEF. This statement indicates that all corresponding sides and angles of the two triangles are equal in measure.

When writing a congruence statement, the order of the vertices is important. The corresponding vertices, sides, and angles must be listed in the same order for both triangles. For example, if triangle ABC has angles A, B, and C, and triangle DEF has angles D, E, and F, the congruence statement should be written as: △ABC ≅ △DEF, not △ABC ≅ △FED.

It's also important to note that congruence does not depend on the size of the triangles, but rather on the equality of corresponding parts. This means that two triangles can be congruent even if they are not the same size or orientation.

User Rob Gilliam
by
7.7k points