Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 19 — Chapter 19: Constructions (Circles)
Time Allowed: 32 minutes
Max Marks: 16
1. What property helps construct a tangent from an external point? [1]
(A) Tangent perpendicular to radius at contact
(B) Tangent parallel to radius
(C) No specific property
(D) Tangent equals radius length
2. What is an incircle? [1]
(A) A circle touching all three triangle sides
(B) A circle through all three vertices
(C) A circle outside the triangle
(D) A random circle
3. Where is the incircle's centre found? [1]
(A) Intersection of angle bisectors
(B) Intersection of perpendicular bisectors
(C) At a random point
(D) At the triangle's vertex
4. What is a circumcircle? [1]
(A) A circle passing through all three vertices
(B) A circle touching all three sides
(C) A circle outside the triangle only
(D) A random circle
5. Where is the circumcircle's centre found? [1]
(A) Intersection of perpendicular bisectors
(B) Intersection of angle bisectors
(C) At a random point
(D) At the triangle's vertex
6. What tools are needed for these constructions? [1]
(A) Compass and ruler
(B) Only a ruler
(C) Only a compass
(D) No tools needed
7. Why practice circle constructions? [1]
(A) To build precision and geometric understanding
(B) No reason
(C) It's not useful
(D) Only for tests
8. What connects circles and triangles in construction? [1]
(A) Special points like incircle and circumcircle
(B) No connection exists
(C) Only random chance
(D) They are unrelated shapes
9. What property helps construct a tangent from an external point? [1]
(A) Tangent perpendicular to radius at contact
(B) Tangent parallel to radius
(C) No specific property
(D) Tangent equals radius length
10. What is an incircle? [1]
(A) A circle touching all three triangle sides
(B) A circle through all three vertices
(C) A circle outside the triangle
(D) A random circle
11. Where is the incircle's centre found? [1]
(A) Intersection of angle bisectors
(B) Intersection of perpendicular bisectors
(C) At a random point
(D) At the triangle's vertex
12. What is a circumcircle? [1]
(A) A circle passing through all three vertices
(B) A circle touching all three sides
(C) A circle outside the triangle only
(D) A random circle
13. Where is the circumcircle's centre found? [1]
(A) Intersection of perpendicular bisectors
(B) Intersection of angle bisectors
(C) At a random point
(D) At the triangle's vertex
14. What tools are needed for these constructions? [1]
(A) Compass and ruler
(B) Only a ruler
(C) Only a compass
(D) No tools needed
15. Why practice circle constructions? [1]
(A) To build precision and geometric understanding
(B) No reason
(C) It's not useful
(D) Only for tests
16. What connects circles and triangles in construction? [1]
(A) Special points like incircle and circumcircle
(B) No connection exists
(C) Only random chance
(D) They are unrelated shapes