Question

(1) show that AP and QC are equal and parallel.
(2)show that the PB and DQ are equal and parallel
(3) show that PR||SQ and RQ||SP​

Answer 1

Answer:

pb = qc

Step-by-step explanation:

Consider △PAB and △QAC

PA  =  QA

​ AB  = AC

∠PAB=∠QAC  

∴ By SAS Congruency Rule,  

△PAB≅△QAC  . So,  

PB  = QC

Answer 2

Answer:

a.) AB = DC.

ABC = ADC.

ABC is ≈ to ADC L.

Hence, AP = QC.