Eric Nicholas K's answer to Irah Athirah's Secondary 3 E Maths Singapore question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Good evening Irah! Here are my workings for this question.
Properties of circles topic requires good visual observation. Also, you will need this topic and the congruency and similarity topics in E Maths to be able to do the proofs in plane geometry topic in A Maths.
Let me know if you need me to explain more in detail about these properties and I will write them down for you when I have free time.
Properties of circles topic requires good visual observation. Also, you will need this topic and the congruency and similarity topics in E Maths to be able to do the proofs in plane geometry topic in A Maths.
Let me know if you need me to explain more in detail about these properties and I will write them down for you when I have free time.
Date Posted:
4 years ago
These are the properties of circles which you will learn in E Maths.
1. Angle at centre is twice angle at circumference
2. Angle in a semicircle (opposite to the diameter) is 90 degrees (special case from the first property)
3. Angles in the same segment are equal
4. Angles in opposite segments (part of a cyclic quadrilateral) are supplementary (they add up to 180 degrees)
5. Tangent to a circle is perpendicular to the radius of a circle touching the tangent point
6. All lengths drawn from the centre to the circumference are radii
7. Tangents drawn from an external point are equal in length
Additionally, you will learn one more rule in A Maths.
8. Alternate segment theorem
Irah, let me know if you need me to explain more about these properties and I will do my best and explain and derive these properties for you so that you will have a better understanding of where these properties come from and how to use them and so that I can cover the concepts which you may have missed in class.
1. Angle at centre is twice angle at circumference
2. Angle in a semicircle (opposite to the diameter) is 90 degrees (special case from the first property)
3. Angles in the same segment are equal
4. Angles in opposite segments (part of a cyclic quadrilateral) are supplementary (they add up to 180 degrees)
5. Tangent to a circle is perpendicular to the radius of a circle touching the tangent point
6. All lengths drawn from the centre to the circumference are radii
7. Tangents drawn from an external point are equal in length
Additionally, you will learn one more rule in A Maths.
8. Alternate segment theorem
Irah, let me know if you need me to explain more about these properties and I will do my best and explain and derive these properties for you so that you will have a better understanding of where these properties come from and how to use them and so that I can cover the concepts which you may have missed in class.
360 Tutoring Program