Angles in congruence triangles

In summary, congruent triangles are two triangles that have the same size and shape, with all corresponding sides and angles being equal. They can be determined by using the side-angle-side (SAS) congruence postulate. Congruent triangles differ from similar triangles, which have the same shape but can be different sizes. It is not possible for two triangles with different angles to be congruent. Understanding angles in congruent triangles is important in geometry and other fields of science, as it lays the foundation for more complex mathematical concepts and problem-solving skills.
  • #1
sts1983
1
0
View attachment 8476

I am trying to work out the above problem.
Known are: D,A,B,a,c,d. I need to work out b,d,G and F. Any ideas?

c+d = 90 degrees.

Regards,

Stan
 

Attachments

  • trianles.jpg
    trianles.jpg
    26.7 KB · Views: 87
Mathematics news on Phys.org
  • #2
Hi, and welcome to the forum!

A am not sure we can find F because I don't see any constraint that prevents one from making F longer while preserving D, A, B, a, c, and d.

Also, what congruent triangles do you mean in the thread title?
 

FAQ: Angles in congruence triangles

1. What are congruent triangles?

Congruent triangles are two triangles that have the same size and shape. This means that all corresponding sides and angles are equal.

2. How do you determine if two triangles are congruent?

There are several ways to determine if two triangles are congruent. The most common method is by using the side-angle-side (SAS) congruence postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

3. What is the difference between congruent and similar triangles?

Congruent triangles have the same size and shape, while similar triangles have the same shape but can be different sizes. In congruent triangles, corresponding sides and angles are equal, while in similar triangles, corresponding angles are equal but corresponding sides are proportional.

4. Can two triangles with different angles be congruent?

No, congruent triangles must have the same angles in addition to the same side lengths. If two triangles have different angles, they are not congruent.

5. Why is it important to know about angles in congruent triangles?

Understanding angles in congruent triangles is important in geometry and other fields of science, as it helps us to determine and prove shapes and patterns in various structures. It also lays the foundation for more complex mathematical concepts and problem-solving skills.

Similar threads

Replies
4
Views
1K
Replies
1
Views
905
Replies
4
Views
922
Replies
1
Views
929
Replies
1
Views
906
Replies
1
Views
1K
Replies
1
Views
914
Back
Top