# Congruent Triangles Proof

Practice Quiz

The quiz below will test your knowledge of all the postulates and theorems that can prove two triangles are congruent.

##### Problem 1

You could use Angle Angle Side because ACB and DCE are vertical angles.

The trick, of course, is that you cannot use SSA since SSA(Side Side Angle) is not a valid theorem that proves congruent tirangles.

##### Problem 2

The two triangles are congruent by SAS, the side angle side postulate. You'd need to use the addition property of equality to get one pair of the sides.

##### Problem 3

Which postulate/theorem that proves congruent trianlges could be used to prove the 2 triangles pictured below are congruent

SSS

Since all 3 sides are congruent, we can use the Side Side Side postulate.

##### Problem 4

Which postulate/theorem that proves congruent trianlges could be used to prove the 2 triangles pictured below are congruent

AAS

The AAS postulate states that these 2 triangles are congruent.

##### Problem 5

Which postulate/theorem that proves congruent trianlges could be used to prove the 2 triangles pictured below are congruent

NONE

As the animation below shows, there is no way to prove these 2 triangles are congruent. That is why there is no SSA postulate.

##### Problem 6

Which postulate/theorem that proves congruent trianlges could be used to prove the 2 triangles pictured below are congruent

Hypotenuse Leg

The Hypotenuse Leg states that these 2 triangles are congruent.

##### Problem 7

Which postulate/theorem that proves congruent trianlges could be used to prove the 2 triangles pictured below are congruent

ASA

The AAS postulate states that these 2 triangles are congruent.