The statements that are true are AD = BD , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , angles and vertices.
It is given a Δ ACB
CD is the angle bisector of ∠ACB
AC ≅ CB
To determine which statement are true
First it has to be proved that Δ DCB is congruent to Δ ACD
In the triangles
AC = CB (Given )
∠ACD = ∠DCB (CD is the angle bisector of ∠ACB)
DC = DC ( Common side )
thus Δ DCB is congruent to Δ ACD
Therefore the following statements are true
AD = BD (CPCTC)
m∠ACD = m∠BCD (CPCTC)
m∠CDA = m∠CDB (CPCTC)
Therefore Option A , C and D are the statements that are true .
To know more about Triangle
brainly.com/question/2773823
#SPJ1
