Pregunta
Which of the
following proves
these triangles are
congruent?
following proves
these triangles are
congruent?
Ask by Lawson Mills. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
To prove that two triangles are congruent, you can use the following criteria:
- SSS (Side-Side-Side): All three sides of one triangle are equal to all three sides of the other.
- SAS (Side-Angle-Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of the other.
- ASA (Angle-Side-Angle): Two angles and the included side of one triangle are equal to two angles and the included side of the other.
- AAS (Angle-Angle-Side): Two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of the other.
- RHS (Right Angle-Hypotenuse-Side) or HL (Hypotenuse-Leg) for Right Triangles: The hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle.
If you provide the specific details of the triangles and the options available, I can help determine which criterion applies.
Solución

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Como
Bonus Knowledge
To prove that triangles are congruent, you can use various criteria, such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), or Hypotenuse-Leg (HL) for right triangles. The key is to demonstrate that the corresponding sides and angles of both triangles match according to one of these rules, showing that they are essentially the same shape and size.
For a fun twist, think of it like a game of matchmaking! You’re looking for pairs of sides and angles that are perfectly aligned between the two triangles, just like finding your perfect dance partner who matches your rhythm and style. So, grab your compass and ruler, and start uncovering those congruent pairs!

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