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Prove that equilateral triangles are equiangular?
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
What is the definition of a angle supplement theorem?
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
If two triangles have a congruent angle and two congruent sides then are the triangles guaranteed to be congruent?
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
Can you show that two triangles are congruent by angle-angle-angle?
No, because they need not be congruent.
In the parallelogram ABCD name three pairs of congruent angles and three pairs of congruent sides?
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
