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They are congruent when they have 3 identical dimensions and 3 identical interior angles.

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Q: How can you prove triangles ABC and DEF are congruent?
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Related questions

How do you find a triangle congruent by cpctc?

A triangle if not found congruent by CPCTC as CPCTC only applies to triangles proven to be congruent. If triangle ABC is congruent to triangle DEF because they have the same side lengths (SSS) then we know Angle ABC (angle B) is congruent to Angle DEF (Angle E)


Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz?

Transitive


If abc is congruent to def and mno is congruent to pqr then is abc congruent to pqr by the transitive property?

True, ABC is congruent to PQR by the transitive property.


What are congruence theorems and postulates?

If the sides AB, BC and CA of triangle ABC correspond to the sides DE, EF and FD of triangle DEF, then the two triangles are congruent if:AB = DE, BC = EF and CA = FD (SSS)AB = DE, BC = EF and angle ABC = angle DEF (SAS)AB = DE, angle ABC = angle DEF, angle BCA = angle EFD (ASA)If the triangles are right angled at A and D so that BC and EF are hypotenuses, then the triangles are congruent ifBC = EF and AB = DE (RHS)BC = EF and angle ABC = angle DEF (RHA).


What else need to be congruent that abc def by asa?

B e


Is ABC congruent to DEF if so name the postulate that applies?

Congruent-SSS


Is ABC DEF If so name the postulate that applies.?

Nope Congruent - SSS Apex. You're welcome.


What else would need to be congruent to show that abc def by asa?

Angle "A" is congruent to Angle "D"


Based on the information marked in the diagram, ABC and DEF must be congruent. (Apex)?

True [APEX]


What is CPCTC?

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.Here are some examples that I hope can help you throughExample 1:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has the measures:Then you know that angle C is congruent to angle F through CPCTC.Example 2:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has the measures:Then you know that side CA is congruent to side FD through CPCTC.Example 3:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has these measures:Then you know that side AC is congruent to DF through CPCTC.You also know that angle C is congruent to angle F through CPCTC.You also know that angle A is congruent to angle D through CPCTC.


What coordinate for F would make triangle ABC and triangle DEF congruent?

It is the point (-2, -3).


What else would need to be congruent to show that abc def by aas?

Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.