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Vidaara.orgClass 7 · Mathematics
CodeVID-M07-07-SIM-01
Identifying Similar Polygons - Assignment
Chapter: Scale Drawings & Similar Figures
Topic: Identifying Similar Polygons
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.
Similar polygons have the same shape but not necessarily the same:
  • A.angles
  • B.size
  • C.sides
  • D.name
2.
Corresponding angles of similar polygons are:
  • A.equal
  • B.supplementary
  • C.different
  • D.zero
3.
Corresponding sides of similar polygons are:
  • A.equal
  • B.proportional
  • C.perpendicular
  • D.unrelated
4.
The symbol for similarity is:
  • A.$\cong$
  • B.$\sim$
  • C.$=$
  • D.$\parallel$
5.
Two squares are always:
  • A.congruent
  • B.similar
  • C.different
  • D.unequal
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Do similar figures have equal corresponding angles?
7.
Are the corresponding sides of similar figures proportional?
8.
The scale factor is the ratio of which sides?
9.
Are two squares always similar?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Two similar rectangles: the first is $4\times6$ and the second has width $8$. Find its length.
11.
A triangle with sides $3,4,5$ is similar to one with shortest side $6$. Find the other two sides.
12.
The ratio of corresponding sides is $3:5$. If a side of the first figure is $9$, find the matching side of the second.
13.
Two similar polygons have corresponding sides $5$ cm and $15$ cm. Find the scale factor.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
$\triangle ABC\sim\triangle DEF$ with $AB=6$, $BC=8$, $AC=10$ and $DE=9$. Find the scale factor and the lengths $EF$ and $DF$.
15.
A photo $10$ cm by $15$ cm is enlarged so the $10$ cm side becomes $25$ cm. Find the scale factor and the new length.

Answer Key

Section A — Multiple Choice Questions
  1. (B) size
  2. (A) equal
  3. (B) proportional
  4. (B) $\sim$
  5. (B) similar
Section B — Short Answer (2 marks)
  1. Yes.
  2. Yes.
  3. Corresponding sides.
  4. Yes.
Section C — Short Answer (3 marks)
  1. $12$.
  2. $8$ and $10$.
  3. $15$.
  4. $3$.
Section D — Long Answer (5 marks)
  1. Scale factor $1.5$; $EF=12$, $DF=15$.
  2. Scale factor $2.5$; new length $37.5$ cm.
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