Vidaara.orgClass 9 · Mathematics
CodeVID-M09-06-PAR-01
Transversal & Parallel Lines — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
Corresponding angles (parallel lines) are:
- A.supplementary
- B.equal
- C.complementary
- D.unequal
2.
Alternate interior angles are:
- A.supplementary
- B.equal
- C.complementary
- D.right
3.
Co-interior angles are:
- A.equal
- B.supplementary
- C.complementary
- D.vertical
4.
The sum of co-interior angles is:
- A.$90^\circ$
- B.$180^\circ$
- C.$360^\circ$
- D.$45^\circ$
5.
If alternate interior angles are equal, the lines are:
- A.perpendicular
- B.parallel
- C.intersecting
- D.equal
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Parallel lines cut by a transversal: an alternate angle is $65^\circ$. Find its pair.
7.
Co-interior angles: one is $110^\circ$. Find the other.
8.
A corresponding angle is $80^\circ$. Find its pair.
9.
What is the sum of a pair of co-interior angles?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
$l\parallel m$; a transversal makes $3x$ with $l$ and co-interior $2x$ with $m$. Find $x$.
11.
Two parallel lines cut by a transversal: one angle is $75^\circ$. Find its alternate and co-interior partners.
12.
If alternate interior angles are equal, what can you conclude about the lines?
13.
Find the angle corresponding to a $50^\circ$ angle.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
$l\parallel m$; a transversal makes angles $(2x+10)^\circ$ and a co-interior angle $(3x-30)^\circ$. Find $x$ and both angles.
15.
Prove that if a transversal makes a pair of alternate interior angles equal, the two lines are parallel.
Answer Key
Section A — Multiple Choice Questions
- (B) equal
- (B) equal
- (B) supplementary
- (B) $180^\circ$
- (B) parallel
Section B — Short Answer (2 marks)
- $65^\circ$.
- $70^\circ$.
- $80^\circ$.
- $180^\circ$.
Section C — Short Answer (3 marks)
- $x=36^\circ$.
- Alternate $75^\circ$; co-interior $105^\circ$.
- They are parallel.
- $50^\circ$.
Section D — Long Answer (5 marks)
- $x=40$; both angles $90^\circ$.
- The lines are parallel (converse of the alternate-angles theorem).
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