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