What term precisely describes triangles that can be mapped onto one another through a sequence of rigid motions?(1 point)
identical
congruent
equal
similar
congruent
The term that precisely describes triangles that can be mapped onto one another through a sequence of rigid motions is "congruent." This means that the triangles have the same size and shape.
The term that precisely describes triangles that can be mapped onto one another through a sequence of rigid motions is "congruent." To understand this terminology, let's break it down.
When two objects are said to be congruent, it means that they have the same shape and size. In the case of triangles, it means that all corresponding sides are equal in length, and all corresponding angles are equal in measure.
To determine if triangles are congruent, we can examine several criteria, known as congruence postulates or theorems. These criteria typically involve comparing corresponding angles and sides of the triangles.
For example, the SSS (Side-Side-Side) congruence criterion states that if the three sides of one triangle are equal in length to the corresponding three sides of another triangle, the triangles are congruent. Similarly, the SAS (Side-Angle-Side) and ASA (Angle-Side-Angle) criteria can be used to establish congruence.
In essence, congruence establishes an exact match between the corresponding parts of two triangles, allowing them to be mapped onto one another through rigid motions such as translations, rotations, and reflections.