Which of the following justifications would you need to show that ?

Responses

Side Angle Side
Side Angle Side

Angle Side Angle
Angle Side Angle

Hypotenuse Leg
Hypotenuse Leg

Side Side Side
Side Side Side

Angle Angle Side

1 answer

To determine which justification you need, it would depend on the specific scenario or triangle congruence you are evaluating. Here’s a brief overview of each justification:

  1. Side Angle Side (SAS): This is used when you have two sides and the included angle of one triangle equal to two sides and the included angle of another triangle.

  2. Angle Side Angle (ASA): This justification is applicable when you have two angles and the included side of one triangle equal to two angles and the included side of another triangle.

  3. Hypotenuse Leg (HL): This is specifically for right triangles, where you have one leg and the hypotenuse of one triangle equal to one leg and the hypotenuse of another triangle.

  4. Side Side Side (SSS): This applies when you have all three sides of one triangle equal to all three sides of another triangle.

  5. Angle Angle Side (AAS): This is used when you have two angles and a non-included side of one triangle equal to two angles and the corresponding non-included side of another triangle.

If you can provide more details about the triangles or the context, I could help you further identify which congruence justification you would need to use!