ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (See the given figure). Which of the following should be true?
A
AB=BP
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ΔAPB≅ΔCQD
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
CQ=PQ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Cannotbedetermined
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is BΔAPB≅ΔCQD InΔAPB≅ΔCQD ∠APB=∠CQD(Each90∘) AB = CD (Opposite sides of parallelogram ABCD) ∠ABP=∠CDQ (Alternate interior angles for AB || CD) ∴ΔAPB≅ΔCQD(By AAS congruency)