1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# ABCD is a quadrilateral in which ¯¯¯¯¯¯¯¯AB=¯¯¯¯¯¯¯¯¯AD and ¯¯¯¯¯¯¯¯BC=¯¯¯¯¯¯¯¯¯DC. Diagonals ¯¯¯¯¯¯¯¯AC and ¯¯¯¯¯¯¯¯¯BD intersect each other at O.

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ΔAOBΔAOD
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
¯¯¯¯¯¯¯¯AC¯¯¯¯¯¯¯¯¯BD
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
¯¯¯¯¯¯¯¯AC bisects ¯¯¯¯¯¯¯¯¯BD
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct options are B ΔAOB≅ΔAOD C ¯¯¯¯¯¯¯¯AC⊥¯¯¯¯¯¯¯¯¯BD D ¯¯¯¯¯¯¯¯AC bisects ¯¯¯¯¯¯¯¯¯BDAB=AD(Given)BC=DC(Given)AC=AC(common)Therefore triangle ABC congruent ACD[SSS]∴∠BOA=∠AOD=90o∴AB=AD(Given)∴AO=AO(common)∠BOA=∠AOD=90o∴ΔAOB≅ΔAODAC⊥BD(∵ABCD is a quadrilateral)AC bisects BD.(one diagonal of a quadrilateral bisect the other)Hence, correct option is B, C, D.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Properties of Special Parallelograms
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program