Once we have shown two triangles are congruent using some of the side and angle information, we know the other sides and angles must match up as well.
In two congruent triangles, any sides or angles that match up are referred to as corresponding.
If two triangles are congruent, then:
The sides in the same relative position are equal, and are called corresponding sides of congruent triangles.
The angles in the same relative position are equal, and are called corresponding angles of congruent triangles.
It is known that \triangle STU \equiv \triangle ABC.
Which two of the following equalities do we know to be true?
If two triangles are congruent, then:
The sides in the same relative position are equal, and are called corresponding sides of congruent triangles.
The angles in the same relative position are equal, and are called corresponding angles of congruent triangles.
If two corresponding sides or angles must be equal in congruent triangles then knowing the value of one gives us the value of the other.
Consider the two triangles below:
Together with the given information, which other condition would make sure that these two triangles are congruent?
Given that EF=HJ, and EG=7, find the value of m.
If two corresponding sides or angles must be equal in congruent triangles then knowing the value of one gives us the value of the other.