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19 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
State AAA similarity criterion.
Answer
If in two triangles, corresponding angles are respectively equal then the triangles are similar.
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Question 61 Mark
ABC is an isosceles triangle right angled at C with AC = 4cm Find the length of AB.
Answer
$4 \sqrt{2}$ cm
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Question 71 Mark
In Fig. 7.173, $D E \| B C$. Find the length of side AD, given that AE = 1.8 cm BD = 7.2 cm and CE = 5.4 cm
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Answer
2.4 cm
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Question 101 Mark
The lengths of the diagonals of a rhombus are 30 cm and 40 cm. Find the side of the rhombus.
Answer
25 cm
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Question 121 Mark
If $\triangle A B C$ and $\triangle D E F$ are similar triangles such that AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm, write the perimeter of $\triangle D E F$.
Answer
15 cm
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Question 131 Mark
If $A B C$ and $D E F$ are similar triangles such that $\angle A=57^{\circ}$ and $\angle E=73^{\circ}$, what is the measure of $\angle C$?
Answer
$50^{\circ}$
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Question 141 Mark
In $\triangle A B C$, D and E are points on sides AB and AC respectively such that $D E \| B C$. IF AD = 2.4 cm, DB = 3.6cm and AC = 5 cm. Find AE.
Answer
2 cm
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