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 two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
No, because they need not be congruent.
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.
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 two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
In the context of congruent triangle theorems, it means that a pair of angles in corresponding locations in two triangles, and the sides that are included between them, are congruent. That being the case, the two triangles are congruent.
i believe that's the definition! =)Angle BisectorAn angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Say angle 1 is 40 which means that if angle 3 is congruent then angle 3 is also 40 by definition of vertical angles. That would make angle 2 equal to 140 by definition of a linear pair and so angle 4 is congruent by vertical angles.
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
HPE is an angle congruent to angle HRN.
TBP an angle congruent to angle PTB.
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane
Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.