In AABC, AB = AC and AD is perpendicular
bisector of BC. The property by which
AADB is not congruent to AADC is __________.
(A) SAS property
(B) SSS property
(C) RHS property
(D) AAA property
The answer is:
(D): AAA Property
But my question is WHY?
Please tell me by drawing a diagram and step to step.
The best answer will be marked as BRAINLIEST!!
Answers
In this Diagram we can see that AB=AC
and AD is bisecting BC by 90° means perpendicular bisector.
Definition: Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
This (AAA) is one of the three ways to test that two triangles are similar.
As line AD bisecting BC . we can clearly see there are two triangles formed.
by turning the image we can understand better. refer to second image we can see
it is divided into two right angle triangles. since both are right angle triangle (90° triangle) also they mentioned that AB=BC means both sides also angles are equal and all the angles in both the triangles are equally corresponding.
so we can say it is AAA Congruency or property.
therefore all the conditions are satisfied except AAA rule
