Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | E Maths
2 Answers Below
Anyone can contribute an answer, even non-tutors.
Prove that OBQC is a cyclic quad.
Date Posted: 1 year ago
Views: 256
For cyclic quad,
Opposite angle in a cyclic quad have a total of 180°
Probe:
∠OCQ + ∠OBQ = 180°
∠OCQ and ∠OBQ is equal to 90° as PCQ and RBQ are tangents to the circle at C and B respectively.
Therefore, ∠BOC + ∠BQC = 180°
Sum of interior angle for quadrilateral is 360°
ALL opposite angle have a total of 180°, therefore OBQC is a cyclic quad.
Opposite angle in a cyclic quad have a total of 180°
Probe:
∠OCQ + ∠OBQ = 180°
∠OCQ and ∠OBQ is equal to 90° as PCQ and RBQ are tangents to the circle at C and B respectively.
Therefore, ∠BOC + ∠BQC = 180°
Sum of interior angle for quadrilateral is 360°
ALL opposite angle have a total of 180°, therefore OBQC is a cyclic quad.
Thank you !
See 2 Answers
Thank you
done
0 Upvotes
clear 0 Downvotes
For explanation, refer to main comments. Hope this helps.
Date Posted:
1 year ago
360 Tutoring Program