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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-10-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.
The angle sum of a triangle is:
  • A.$90^\circ$
  • B.$180^\circ$
  • C.$270^\circ$
  • D.$360^\circ$
2.
Congruent triangles have the same:
  • A.shape only
  • B.size only
  • C.shape and size
  • D.colour
3.
A median joins a vertex to the ___ of the opposite side.
  • A.endpoint
  • B.midpoint
  • C.third
  • D.foot
4.
Each angle of an equilateral triangle is:
  • A.$45^\circ$
  • B.$60^\circ$
  • C.$90^\circ$
  • D.$30^\circ$
5.
SSS means three pairs of equal:
  • A.angles
  • B.sides
  • C.medians
  • D.altitudes
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Two angles are $50^\circ$ and $60^\circ$. Find the third.
7.
Name the congruence rule with three equal sides.
8.
How many medians does a triangle have?
9.
Name the rule with two sides and the included angle.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the angles of a triangle in ratio $1:2:3$.
11.
Which rule: two angles and the included side equal?
12.
In what ratio does the centroid divide a median?
13.
The exterior angle is $120^\circ$ and one interior opposite angle is $50^\circ$. Find the other.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The angles of a triangle are $x,\ (x+20),\ (x+40)$. Find all three.
15.
State the four standard congruence rules (SSS, SAS, ASA, RHS) with a one-line meaning each.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $180^\circ$
  2. (C) shape and size
  3. (B) midpoint
  4. (B) $60^\circ$
  5. (B) sides
Section B — Short Answer (2 marks)
  1. $70^\circ$.
  2. SSS.
  3. $3$.
  4. SAS.
Section C — Short Answer (3 marks)
  1. $30^\circ, 60^\circ, 90^\circ$.
  2. ASA.
  3. $2:1$.
  4. $70^\circ$.
Section D — Long Answer (5 marks)
  1. $40^\circ, 60^\circ, 80^\circ$.
  2. SSS: three sides; SAS: two sides + included angle; ASA: two angles + included side; RHS: right angle, hypotenuse and one side.
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