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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 would need to be congruent to show that abc is congruent to def by ASA?
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer. no correct
In similar triangle what is the relationship between correspomds sides?
Triangle ABC is simlar to Triangle DEF. AB divided by DE equals x. BC divided by EF also equals x. CA divided by FA also equals x. Note: It only works like this. When two similar or congruent triangles are named (eg Triangle ABC), the order of the capital letters is important.
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.
Given that ABC DEF what is the measure of E?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. There is, therefore, no visible symbol between ABC and DEF (<, =, >, ≠ etc). Furthermore, there is no information as to whether ABC is an angle, a triangle, an arc.
How can you prove triangles ABC and DEF are congruent?
They are congruent when they have 3 identical dimensions and 3 identical interior angles.
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 else need to be congruent that abc def by asa?
B e
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)
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"
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!
Based on the information marked in the diagram, ABC and DEF must be congruent. (Apex)?
True [APEX]
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 abc is congruent to def by AAS?
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
