Question

Question 63

What conclusion can be drawn from each part, of the figure?

a) DB is the bisector of $\angle ADC$.

b) BD bisects $\angle ABC$.

c) DC is the bisector of $\angle ADB,CA\perp DAandCB\perp DB$.

Answer 1

a) If DB is the bisector of $\angle ADC$, then $\angle ADB=\angle CDB$, Because an angle bisector bisects an angle into two equal angles.

b) If BD bisects $\angle ABC$, then $\angle ABD=\angle CBD$. Because an angle bisector bisects an angle into two equal angles.

c) If DC is the bisector of $\angle ADB$, then $\angle ADC=\angle BDC$
Also, $CA\perp DA$ and $CB\perp DB$, then $\angle CAD={90}^{\circ }$ and $\angle CBD={90}^{\circ }$