Class 10 Similarity Mock Test (ICSE)

Topics in Similarity

• Similar triangles and criteria AA, SAS and SSS
• Basic proportionality theorem
• Areas of similar triangles
• Applications to maps and models

Similarity practice questions with answers

1. Q1Multiple choice·1 mark
   In $\triangle ABC$ and $\triangle DEF$, if $\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$, then which of the following correctly expresses the similarity relationship?

   1. (a)$\triangle ABC \sim \triangle EFD$
   2. (b)$\triangle ABC \sim \triangle FED$
   3. (c)$\triangle ABC \sim \triangle DEF$
   4. (d)$\triangle ABC \sim \triangle FDE$
   Show answer and step marks

   1. Correct option: (c) $\triangle ABC \sim \triangle DEF$+1

   Answer: (c)
2. Q2Multiple choice·1 mark
   If $\triangle DEF \sim \triangle XYZ$ such that $\text{area}(\triangle DEF) = 81\text{ cm}^2$, $\text{area}(\triangle XYZ) = 144\text{ cm}^2$ and $EF = 6\text{ cm}$, then the length of $YZ$ is:

   1. (a)$8\text{ cm}$
   2. (b)$6\text{ cm}$
   3. (c)$9\text{ cm}$
   4. (d)$7\text{ cm}$
   Show answer and step marks

   1. Correct option: (a) $8\text{ cm}$+1

   Answer: (a)
3. Q3Multiple choice·1 mark
   On a map drawn to a scale of $1 : 40000$, the distance between two railway stations is $3.5\text{ cm}$. The actual distance between the stations in kilometres is:

   1. (a)$0.14\text{ km}$
   2. (b)$1.4\text{ km}$
   3. (c)$140\text{ km}$
   4. (d)$14\text{ km}$
   Show answer and step marks

   1. Correct option: (b) $1.4\text{ km}$+1

   Answer: (b)
4. Q4Multiple choice·1 mark
   In $\triangle ABC$, $DE \parallel BC$ meets $AB$ at $D$ and $AC$ at $E$. If $AD = 2.5\text{ cm}$, $DB = 3.5\text{ cm}$ and $AE = 3\text{ cm}$, then the length of $EC$ is:

   1. (a)$5.0\text{ cm}$
   2. (b)$3.2\text{ cm}$
   3. (c)$4.5\text{ cm}$
   4. (d)$4.2\text{ cm}$
   Show answer and step marks

   1. Correct option: (d) $4.2\text{ cm}$+1

   Answer: (d)

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