Question Paper
Class / Subject: Class 9 (ICSE) · Mathematics
Chapter: Chapter 12 — Chapter 12: Mid-Point and Its Converse (Equal Intercept Theorem)
Time Allowed: 32 minutes
Max Marks: 16
1. What does the mid-point theorem state? [1]
(A) The line joining midpoints is parallel to and half the third side
(B) The line joining midpoints equals the third side
(C) No relationship exists
(D) The midpoints are always equal
2. If D, E are midpoints of AB, AC, what is DE parallel to? [1]
(A) BC
(B) AB
(C) AC
(D) Nothing
3. What is DE's length compared to BC? [1]
(A) Half of BC
(B) Equal to BC
(C) Double BC
(D) Unrelated to BC
4. What does the converse of this theorem state? [1]
(A) A line through a midpoint, parallel to a side, bisects the third side
(B) The same as the original theorem
(C) Nothing new
(D) Only applies to right triangles
5. What does the equal intercept theorem involve? [1]
(A) Parallel lines and transversals
(B) Only circles
(C) Only triangles
(D) Only squares
6. Why are these theorems useful? [1]
(A) Proving triangle and quadrilateral properties
(B) No reason
(C) They're not useful
(D) Only for tests
7. What is required to apply the mid-point theorem? [1]
(A) Two midpoints of a triangle's sides
(B) Any two points on a triangle
(C) Only one point
(D) No specific points
8. Why practice these theorems? [1]
(A) To build geometry proof skills
(B) No reason
(C) It's not useful
(D) Only for tests
9. What does the mid-point theorem state? [1]
(A) The line joining midpoints is parallel to and half the third side
(B) The line joining midpoints equals the third side
(C) No relationship exists
(D) The midpoints are always equal
10. If D, E are midpoints of AB, AC, what is DE parallel to? [1]
(A) BC
(B) AB
(C) AC
(D) Nothing
11. What is DE's length compared to BC? [1]
(A) Half of BC
(B) Equal to BC
(C) Double BC
(D) Unrelated to BC
12. What does the converse of this theorem state? [1]
(A) A line through a midpoint, parallel to a side, bisects the third side
(B) The same as the original theorem
(C) Nothing new
(D) Only applies to right triangles
13. What does the equal intercept theorem involve? [1]
(A) Parallel lines and transversals
(B) Only circles
(C) Only triangles
(D) Only squares
14. Why are these theorems useful? [1]
(A) Proving triangle and quadrilateral properties
(B) No reason
(C) They're not useful
(D) Only for tests
15. What is required to apply the mid-point theorem? [1]
(A) Two midpoints of a triangle's sides
(B) Any two points on a triangle
(C) Only one point
(D) No specific points
16. Why practice these theorems? [1]
(A) To build geometry proof skills
(B) No reason
(C) It's not useful
(D) Only for tests