# Write True or False and justify your answer in each of the following: If A, B, C and D are four points such that $\angle BAC=45^{\circ}$ and $\angle BDC=45^{\circ}$, then A, B, C, D are concyclic.

True

Solution:

Definition of concyclic points: The points that lie on the same circle.

We know that angles in the same segment of a circle are equal

Since $\angle BAC=45^{\circ}=\angle BDC$

We know that these angles are in the same segment of a circle.

This can be represented as shown below:

BC is the chord of the circle and hence A, B, C & D are concyclic.

Therefore the given statement is true.

### Preparation Products

##### NEET Foundation 2022

NEET Foundation 2022.

₹ 14999/-
##### Biology Foundation for Class 10

Biology Foundation for Class 10.

₹ 999/- ₹ 499/-
##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout NEET May 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-