None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
Gram crackers
Statement Reason1. triangle ABC is equilateral..............................................given2. AC is congruent to BC;AB is congruent to AC........................................definition of equilateral3. angle A is congruent to angle B;and B is congruent to angle C.............................Isosceles Theorem4. angle A is congruent to angle C..................Transitive Property of Congruence5. triangle ABC is equiangular...............................Definition of equiangular
if you read this you smell :p
The isosceles triangle theorem states: If two sides of a triangle are congruent, then the angles opposite to them are congruent Here is the proof: Draw triangle ABC with side AB congruent to side BC so the triangle is isosceles. Want to prove angle BAC is congruent to angle BCA Now draw an angle bisector of angle ABC that inersects side AC at a point P. ABP is congruent to CPB because ray BP is a bisector of angle ABC Now we know side BP is congruent to side BP. So we have side AB congruent to BC and side BP congruent to BP and the angles between them are ABP and CBP and those are congruent as well so we use SAS (side angle side) Now angle BAC and BCA are corresponding angles of congruent triangles to they are congruent and we are done! QED. Another proof: The area of a triangle is equal to 1/2*a*b*sin(C), where a and b are lengths of adjacent sides, and C is the angle between the two sides. Suppose we have a triangle ABC, where the lengths of the sides AB and AC are equal. Then the area of ABC = 1/2*AB*BC*sin(B) = 1/2*AC*CB*sin(C). Canceling, we have sin(B) = sin(C). Since the angles of a triangle sum to 180 degrees, B and C are both acute. Therefore, angle B is congruent to angle C. Altering the proof slightly gives us the converse to the above theorem, namely that if a triangle has two congruent angles, then the sides opposite to them are congruent as well.
Nope Congruent - SSS Apex. You're welcome.
Congruent-SSS
SAS
congruent - SSSAnswer by Arteom, Friday December 10, 2010
similar - AA
Blah blah blah
similar aa
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
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)
cannot be determined Similar-AA
True, ABC is congruent to PQR by the transitive property.
Similar AA