transformations and congruence introduction answers
Transformations are ways in which a geometric figure can be changed or altered. There are several types of transformations, including translation, rotation, reflection, and dilation.
Congruence refers to the property of two geometric figures having the same shape and size. When two figures are congruent, all corresponding angles are equal, and all corresponding sides are equal in length.
Introduction:
1. What are transformations?
Transformations are ways in which a geometric figure can be changed or altered. They include translation, rotation, reflection, and dilation.
2. How can congruence be defined?
Congruence refers to the property of two geometric figures having the same shape and size. When two figures are congruent, all corresponding angles are equal, and all corresponding sides are equal in length.
3. What types of transformations are there?
There are several types of transformations: translation, rotation, reflection, and dilation. Each type of transformation changes the position, angle, or size of a geometric figure.
4. Why is congruence important in geometry?
Congruence is important in geometry because it allows us to compare and analyze geometric figures. When figures are congruent, we can make conclusions about their properties and relationships.
5. How are transformations related to congruence?
Transformations are used to determine if two figures are congruent. By performing appropriate transformations, such as translations or rotations, we can superimpose one figure onto another to see if they match exactly.