Isosceles and Equilateral Triangles Practice Angles Worksheet

When it comes to geometry, triangles are one of the most fundamental shapes that we learn about in school. In this worksheet, we will be exploring the different types of triangles based on their sides and angles.

First, let's define what an isosceles right triangle is. An isosceles right triangle is a triangle where two of its sides are equal and one angle is 90 degrees. This type of triangle is also known as a half-square.

Next, we have equilateral or equiangular triangles. These types of triangles have all their sides and angles equal. In other words, every side of an equilateral triangle has the same length, and every angle is the same measurement.

But how do we classify triangles? There are several ways to do this. One way is to look at the sides of the triangle. If none of the sides are equal in length, it is called a scalene triangle. On the other hand, if two or more sides are equal in length, it is called an isosceles triangle.

Another way to classify triangles is by looking at their angles. There are four main types of angles: acute, right, obtuse, and straight. Acute angles are less than 90 degrees, while right angles are exactly 90 degrees. Obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Now that we know how to classify triangles by their sides and angles, let's practice identifying them. Below is a worksheet with various triangle shapes. Can you identify which ones are isosceles, scalene, equilateral, right, acute, or obtuse?

Worksheet:

1. Triangle ABC has two equal sides of length 3 cm. What type of triangle is it?

(Insert answer)

2. Triangle DEF has all its angles equal to 60 degrees. What type of triangle is it?

(Insert answer)

3. Triangle GHI has one angle that measures 90 degrees and two acute angles. What type of triangle is it?

(Insert answer)

4. Triangle JKL has three sides of different lengths: 2 cm, 3 cm, and 5 cm. What type of triangle is it?

(Insert answer)

In conclusion, triangles are an essential part of geometry, and understanding their properties and classification is crucial for solving problems in math and other fields. With this worksheet, you should be able to identify different types of triangles based on their sides and angles.

Isosceles and equilateral triangles practice angles worksheet