Reflexive property
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.
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.
Reflexive property
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.
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.
A congruent angle can also mean equal angle. So there is no set measurement of a congruent angle. Just the same as the angle it is equal to.
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
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.
Angle "A" is congruent to Angle "D"
No, because they need not be congruent.
Let D represent the point on BC where the bisector of A intersects BC. Because AD bisects angle A, angle BAD is congruent to CAD. Because AD is perpendicular to BC, angle ADB is congruent to ADC (both are right angles). The line segment is congruent to itself. By angle-side-angle (ASA), we know that triangle ADB is congruent to triangle ADC. Therefore line segment AB is congruent to AC, so triangle ABC is isosceles.