What is the Angle-Side-Angle Postulate for Triangle Congruence?

What is the Angle-Side-Angle Postulate for Triangle Congruence?

Note:

What is the Angle-Side-Angle postulate? This postulate is just one of many postulates you can use to prove two triangles are congruent! This tutorial explains the ASA postulate.

Keywords:

  • postulate
  • side-angle-side congruence postulate
  • angle-side-angle postulate
  • angle-side-angle congruence
  • angle-side-angle
  • angle side angle
  • congruence postulate
  • congruent
  • asa
  • a-s-a
  • asa postulate
  • congruent triangles

Background Tutorials

  • Describe and perform transformations of figures in a plane using coordinate notation

  • Determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint

      • What Does Congruent Mean?What Does Congruent Mean?

      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!

Further Exploration

  • Investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools

  • Prove two triangles are congruent by applying the side-angle-side, angle-side-angle, side-side-side, angle-angle-side, and hypotenuse-leg congruence conditions