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

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11y ago

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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 DEF which congruences are true by CPCTC?

Oh, dude, if ABC DEF, then congruences like angle A is congruent to angle D, angle B is congruent to angle E, and side AC is congruent to side DF would be true by CPCTC. It's like a matching game, but with triangles and math rules. So, just remember CPCTC - Corresponding Parts of Congruent Triangles are Congruent!


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

To show that triangles ABC and DEF are congruent by the AAS (Angle-Angle-Side) theorem, you need to establish that two angles and the non-included side of one triangle are congruent to the corresponding two angles and the non-included side of the other triangle. If you have already shown two angles congruent, you would need to prove that one of the sides opposite one of those angles in triangle ABC is congruent to the corresponding side in triangle DEF. This additional information will complete the criteria for applying the AAS theorem.


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 do you need to show to prove two triangles are similar by SAS Similarity Theorem?

To prove two triangles are similar by the SAS (Side-Angle-Side) Similarity Theorem, you need to demonstrate that two sides of one triangle are proportional to two sides of the other triangle, and that the included angles between those sides are congruent. Specifically, if triangle ABC has sides AB and AC proportional to triangle DEF's sides DE and DF, and angle A is congruent to angle D, then the two triangles are similar.


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]