The figure below sHows a quadrilateral ABCD with diagonal BD bisecting angle ADC: A quadrilateral ABCD is drawn with BD as a diagonal. BD bisects angle ADC and forms two triangles ABD and CBD. AD and CD are equal in length. Which equation is true?
Answers
A quadrilateral is a closed geometric figure comprising four sides of straight lines.
You can make a quadrilateral by taking, imagining, considering anything straight and thin you might own like pens, toothpicks, chopsticks, etc.
A square is a special case of quadrilateral.In the problem, ABCD quadrilateral as shown in the fig below:
As per problem BD bisects angle ADC and forms two triangles ABD and CBD.
Solution:Two triangles are congruent if two sides and included angles are equal.
Triangles ABD and BCD are congruent as BD is common, angle ADB=CDB.
Therefore AB=BC,hence equation (D) is true. Proved
Thank you for asking this question. The options for this question are missing:
Here are the missing options:
A) DB = 2DC
B) AD = DC
C) AB = DB
D) AB = 2AD
Answer:
The answer would be B) AD=DC, the reason why is because line AD is a reflection of line DC
If there is any confusion please leave a comment below.