# Unit 4 Congruent Triangles Homework 1: Classifying Triangles

Triangles are one of the most fundamental shapes in geometry. Triangles come in many different shapes and sizes, and it is important to be able to classify them accurately in order to solve different kinds of problems. In this unit, we will be focusing on congruent triangles, and learning how to classify them by their sides and angles.

## Classifying Triangles by Sides Triangles can be classified by their sides, or length of the three sides. When classifying triangles by sides, we look at the length of the three sides and compare them. An equilateral triangle has three equal sides, an isosceles triangle has two equal sides, and a scalene triangle has no equal sides.

## Classifying Triangles by Angles Triangles can also be classified by the measure of their angles. An acute triangle has three angles that are less than 90 degrees. A right triangle has one angle that measures 90 degrees, and an obtuse triangle has one angle that is greater than 90 degrees.

## Congruent Triangles Congruent triangles are two triangles that are identical in both shape and size. They can be congruent by sides, angles, or both. When two triangles are congruent by angles, they are also congruent by sides. This means that all the angles are equal, and all the sides are also equal.

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In this unit, we have learned about congruent triangles and how to classify them by their sides and angles. Knowing how to classify triangles is an important skill for solving different types of problems in geometry. With this knowledge, you should now be able to accurately classify different types of triangles.