Course 3 Chapter 7: Congruence and Similarity Lesson 4 Skills Practice

What is the difference between congruence and similarity in figures?

In Lesson 4, what skills will you be practicing related to determining congruence and similarity between figures?

Congruence vs. Similarity:

Congruence in figures refers to having the same size and shape, while similarity means figures have the same shape but may be of different sizes.

Skills Practice:

In Lesson 4, you will be practicing skills related to identifying corresponding angles and sides and comparing their measures to determine congruence and similarity between figures.

Understanding the concepts of congruence and similarity in figures is essential in geometry. Congruence indicates that two figures are identical in both shape and size, whereas similarity implies that the figures have the same shape but may differ in size.

When determining congruence between figures, it is crucial to identify corresponding angles and sides. If the corresponding angles are equal and the corresponding sides have the same length, the figures are considered congruent. This means that all corresponding angles are equal, and all corresponding sides have identical measurements. In simpler terms, if one figure can be superimposed onto the other perfectly, they are congruent.

On the other hand, when figures are similar, their corresponding angles are equal, but their corresponding sides have proportional lengths. This means that while the shapes are the same, the sizes may vary. To confirm similarity between figures, it is important to compare the ratios of their corresponding sides.

In Lesson 4 of Course 3 Chapter 7, you will practice these skills to deepen your understanding of congruence and similarity in geometry. By identifying corresponding angles and sides and comparing their measurements, you will enhance your ability to determine whether figures are congruent or similar.