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Vidaara.orgClass 9 · Mathematics
CodeVID-M9-07-CT
Triangles — Full Chapter Test
Chapter: Triangles
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • 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.
Congruent triangles have equal corresponding sides and:
  • A.areas only
  • B.angles
  • C.perimeters
  • D.medians
2.
In an isosceles triangle, the base angles are:
  • A.unequal
  • B.equal
  • C.right
  • D.supplementary
3.
The sum of any two sides is greater than the:
  • A.perimeter
  • B.third side
  • C.largest angle
  • D.area
4.
SAS stands for:
  • A.Side-Angle-Side
  • B.Side-Area-Side
  • C.Sum-Angle-Sum
  • D.Side-Altitude-Side
5.
The angle opposite the longest side is the:
  • A.smallest
  • B.largest
  • C.right
  • D.base
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Name the congruence criterion that uses all three sides.
7.
An isosceles triangle has vertex angle $40^\circ$. Find each base angle.
8.
Can sides $3,4,5$ form a triangle?
9.
If $\triangle ABC\cong\triangle DEF$ and $AB=5$, find $DE$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State the SAS congruence rule.
11.
In $\triangle ABC$, $AB=AC$ and $\angle B=50^\circ$. Find $\angle A$.
12.
Two sides of a triangle are $8$ and $5$. The third side $x$ satisfies what inequality?
13.
In $\triangle ABC\cong\triangle PQR$, if $\angle A=50^\circ$, find $\angle P$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
In $\triangle ABC$ and $\triangle DEF$, $AB=DE$, $\angle B=\angle E$ and $BC=EF$. State the congruence rule and one conclusion.
15.
In $\triangle ABC$, $AB=AC$ and the bisector of $\angle A$ meets $BC$ at $D$. State what can be concluded about $BD$ and $DC$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) angles
  2. (B) equal
  3. (B) third side
  4. (A) Side-Angle-Side
  5. (B) largest
Section B — Short Answer (2 marks)
  1. SSS.
  2. $70^\circ$.
  3. Yes.
  4. $5$.
Section C — Short Answer (3 marks)
  1. Two sides and the included angle of one equal the corresponding parts of the other.
  2. $80^\circ$.
  3. $3
  4. $50^\circ$.
Section D — Long Answer (5 marks)
  1. SAS; $\triangle ABC\cong\triangle DEF$, so $AC=DF$.
  2. $BD=DC$ (D is the midpoint).
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