# Similar and Congruent Figures Worksheets

What is the Difference Between Similar & Congruent Figures? There is a concept in mathematics known as similarity and congruence. It is usually taught to the students who are learning shapes. This is a concept pertaining to shapes. Two shapes can be either similar or congruent. Similarity means that two shapes must have the same shapes. In similarity, only shapes need to be the same. Other than that, their size can differ as well as their symmetrical positions. Whereas while talking about congruency, the size, shape, and symmetrical positions, all three of them must be exactly the same between both the figures. If any of these three said things are even slightly different, then the two compared shapes wonâ€™t be called congruent. The concept of similarity and congruency helps a lot in solving complicated geometrical sums that involve calculations of angles, which cannot be easily calculated. In such sums, the value of angles are pretty difficult to calculate, so we determine their values by comparing them with the same angle of another congruent shape.

• ### Basic Lesson

Guides students through the classification of similar versus congruent figures. Similar figures have the same shape, but not necessarily the same size. Congruent figures have the same shape and size. [Congruent figures are always similar, but similar figures are not always congruent.]

• ### Intermediate Lesson

Students learn step by step how to visualize the difference between various figures. Circle the figure that is congruent to the first figure in the series.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of Similar & Congruent Figures.

• ### Independent Practice 2

Students classify figures as congruent or similar. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Similar & Congruent Figures. An example is also provided.

• ### Skill Quiz

This tests the students ability to understand Similar & Congruent Figures.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### "Geometry is the right foundation of all painting."

Albrecht Durer (1471-1528) German painter, engraver and mathematician. Durer is conventionally regarded as the greatest artist of the Renaissance in Northern Europe.