How Do You Determine if Triangles on the Coordinate Plane are Congruent?

Note:

There are many ways to show that two triangles are congruent. This tutorial shows you how to use a triangle congruence postulate to show that two triangles on the coordinate plane are congruent to each other!

Keywords:

problem
triangle
triangles
congruent
congruence
coordinate plane
graph
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Background Tutorials

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
- What are Acute, Obtuse, Right, and Straight Angles?
  
  Did you know that there are different kinds of angles? Knowing how to identify these angles is an important part of solving many problems involving angles. Check out this tutorial and learn about the different kinds of angles!
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
- How Do You Identify Corresponding Parts in Congruent Triangles?
  
  When you have two congruent figures, that means that corresponding sides and corresponding angles are congruent. Get some practice identifying corresponding sides and angles by following along with this tutorial!
- What Does Congruent Mean?
  
  If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- What Is the Distance Formula?
  
  If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!