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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-10-CON-01
Congruence of Triangles - Assignment
Chapter: Triangles
Topic: Congruence of Triangles
Maximum Marks: 35
Time: 75 minutes
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.
Congruent triangles have the same:
  • A.shape only
  • B.size only
  • C.shape and size
  • D.colour
2.
SSS means three pairs of equal:
  • A.angles
  • B.sides
  • C.medians
  • D.altitudes
3.
SAS means two sides and the:
  • A.opposite angle
  • B.included angle
  • C.hypotenuse
  • D.median
4.
ASA means two angles and the:
  • A.opposite side
  • B.included side
  • C.hypotenuse
  • D.median
5.
RHS applies to ___ triangles.
  • A.equilateral
  • B.right-angled
  • C.obtuse
  • D.scalene
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Name the congruence rule with three equal sides.
7.
Name the rule with two sides and the included angle.
8.
Do congruent triangles have equal areas?
9.
What symbol denotes congruence?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Which rule: two angles and the included side equal?
11.
Which rule: hypotenuse and one side of right triangles equal?
12.
If $\triangle ABC\cong\triangle DEF$ and $AB=4$, find $DE$.
13.
If $\triangle ABC\cong\triangle PQR$, which angle equals $\angle A$?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
State the four standard congruence rules (SSS, SAS, ASA, RHS) with a one-line meaning each.
15.
$\triangle ABC\cong\triangle DEF$ with $AB=5$, $BC=6$, $\angle B=70^\circ$. Write the corresponding equal parts in $\triangle DEF$.

Answer Key

Section A — Multiple Choice Questions
  1. (C) shape and size
  2. (B) sides
  3. (B) included angle
  4. (B) included side
  5. (B) right-angled
Section B — Short Answer (2 marks)
  1. SSS.
  2. SAS.
  3. Yes.
  4. $\cong$.
Section C — Short Answer (3 marks)
  1. ASA.
  2. RHS.
  3. $4$.
  4. $\angle P$.
Section D — Long Answer (5 marks)
  1. SSS: three sides; SAS: two sides + included angle; ASA: two angles + included side; RHS: right angle, hypotenuse and one side.
  2. $DE=5,\ EF=6,\ \angle E=70^\circ$.
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