Congruence Statements
Triangle Congruence Theorems
More Congruence Theorems
Definitions
100

Given the congruence statement, what angle is congruent to angle V?

Dada la afirmación de congruencia, ¿qué ángulo es congruente con el ángulo V?


angleH

100

What congruence theorem proves these are congruent triangles?

SSS

100

Are the following triangles congruent?  If so, name the congruence postulates that proves it.


Yes, SSS

100

Equals for shapes, line segments and angles.


Igual para formas, segmentos de línea y ángulos.

Congruent

200

What side is congruent to side VU?

¿Qué lado es congruente con el lado VU?


bar{HI}

200

What congruence theorem proves these are congruent triangles?

SAS

200

Are the following triangles congruent?  If so, name the congruence postulates that proves it.


Not congruent

200

A point that divides the line segment into two equal halves.

Un punto que divide el segmento de línea en dos mitades iguales.

Midpoint

300

The side congruent to IG.

El lado congruente a IG.


bar{UW}

300

Are the following triangles congruent?  If so, name the congruence theorem that proves it.

Yes, AAS

300

Are the following triangles congruent?  If so, name the congruence postulate that proves it.


Not congruent

300

Two angles across from each other at an intersection. They must be equal.


Dos ángulos opuestos en una intersección. Deben ser iguales.  

Vertical Angles

400

Draw two triangles to show that:

Dibuja dos triángulos para mostrar que:

Answers vary

triangleMNLcongtrianglePQR

400

Are the following triangles congruent?  If so, name the congruence theorem that proves it.

Yes, SAS

400

Are the following triangles congruent?  If so, name the congruence postulate that proves it.

Yes, HL

400

The property that says a shared side is congruent in two triangles.

Propiedad que dice que un lado compartido es congruente en dos triángulos.

 

Reflexive Property

500

Write a congruence statement for the triangles represented by:

Escribe una declaración de congruencia para los triángulos representados por:



triangleADBcongtriangleCEB

500

What additional information is needed to prove the two triangles are congruent using SSS theorem.

¿Qué información adicional se necesita para demostrar que los dos triángulos son congruentes utilizando el teorema SSS?

 AC is congruent to DF

500

What are all of the triangle congruence theorems.

¿Cuáles son todos los teoremas de congruencia de triángulos?

 

SSS, SAS, AAS, ASA and HL

500

"The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse."


"La suma de los cuadrados de los catetos de un triángulo rectángulo es igual al cuadrado de la hipotenusa".

Pythagorean Theorem