## You are here

Homeillustration of why SSA may not prove congruence

## Primary tabs

# illustration of why SSA may not prove congruence

SSA cannot be used to prove that two triangles are congruent when the angles that are known to be congruent are acute. Below is an illustration of how this can happen.

In the picture below, $\triangle ABC$ and $\triangle ABD$ share the angle $\angle A$ and the side $\overline{AB}$, and the line segments $\overline{BC}$ and $\overline{BD}$ are congruent; however, $\triangle ABC$ and $\triangle ABD$ are clearly not congruent.

Major Section:

Reference

Type of Math Object:

Example

Parent:

## Mathematics Subject Classification

97D70*no label found*51M99

*no label found*51-01

*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections