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The quadrilateral BADC. AB = AD and BC = DC.
1.The AC and BD lines are perpendicular lines.
2.∠ACB = ∠ACD
Given that,
AB = AD and BC = DC in the quadrilateral BADC. This quadrilateral's symmetry line is the line AC.
1. We have to find how the diagonals AC and BD are perpendicular.
In the figure we can see the BADC quadrilateral and the lines AC and BD.
To prove they are perpendicular we have to prove that they have 90° all angles.
∠AOD is 90°.
∠AOB is 90°.
∠BOC is 90°.
∠DOC is 90°.
Therefore, we can say that AC and BD are perpendicular lines.
2.We have to find the angles ABC and ADC have same angles.
The BADC quadrilateral
AB= AD
BC= DC
This quadrilateral's symmetry line is AC.
Think about the triangles BAC and DAC.
These triangles contain
AB = AD
BC = DC
AC = AC - reflexive property
So, the SSS postulate of ΔBAC ≅ ΔDAC
Congruent triangles have comparable sides and angles that are also congruent, so ∠ACB = ∠ACD
Another concept: The line that separates the figure into two identical figures is the line of symmetry. As a result, ΔBAC and ΔDAC share the same properties (are congruent) and have the same corresponding sides and angles.
To learn more about quadrilateral visit: brainly.com/question/13805601
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