How Do You Identify Common Parts in Overlapping Triangles?

How Do You Identify Common Parts in Overlapping Triangles?

Note:

It might seem like a challenge to make sense of figures with overlapping triangles, but it's not so difficult! This video gives some commonsense advice for identifying common angles and common sides in these figures.

Keywords:

  • problem
  • identify
  • common
  • parts
  • overlapping triangles
  • overlap
  • shared angle
  • shared side

Background Tutorials

  • Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

      • What is an Angle?What is an Angle?

      What is an Angle?

      Angles are a fundamental building block for creating all sorts of shapes! In this tutorial, learn about how an angle is formed, how to name an angle, and how an angle is measured. Take a look!

  • Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

      • What is a Triangle?What is a Triangle?

      What is a Triangle?

      You can't learn everything about math without dealing with triangles. Did you know that there are different types of triangles? Check out this tutorial, and learn about triangles and their different types!

Further Exploration

  • Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.