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

Question 14 Marks
Draw a circle with 'O' as centre and radius 4 cm. Take a point P at a distance of 7.5 cm from 'O'. Draw tangents to the circle through the point P.
Answer
self
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Question 24 Marks
$\Delta$ΑΜΤ ~ $\Delta$ΑΗΕ, construct $\Delta$ΑΜT such that MA = 6.3 cm, $\angle$MAT = 120°, AT = 4.9 cm and $\frac{ MA }{ HA }=\frac{7}{5}$, then construct $\Delta$ΑΗΕ.
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self
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Question 34 Marks
$\triangle PQR \sim \triangle PAB , m \angle P =60^{\circ}, PQ =6 cm, PR =4 cm$. Construct $\triangle PAB$, if $PQ : PA =3: 2$.
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self
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Question 44 Marks
$\triangle PQR \sim \Delta PEF , m \angle P =70^{\circ}, PQ =5 cm, PR =3.5 cm$ Construct $\triangle PEF$, if $PQ : PE =5: 7$.
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self
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Question 54 Marks
$\triangle PQR \sim \triangle ABC , PQ =3 cm, QR =4 cm, PR =5 cm$ $A (\triangle PQR ): A (\triangle ABC )=1: 4$. Construct both triangles
Answer
self
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Question 64 Marks
Draw $\triangle A B C$ with side $B C=6 cm, A B=5 cm$, and $\angle A B C=60^{\circ}$. Also, construct $\triangle X Y Z$ whose sides are $\frac{3}{4}$ of the corresponding sides of $\triangle X Y Z$.
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self
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Question 74 Marks
$\triangle PQR \sim \triangle PAB , m \angle P =60^{\circ}, PQ =6 cm, PR =4 cm$. Construct $\triangle PAB$, if $PQ : PA =3: 2$.
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Question 84 Marks
$\triangle PQR \sim \triangle ABC , PQ =3 cm, QR =4 cm, PR =5 cm$ $A (\triangle PQR ): A (\triangle ABC )=1: 4$. Construct both triangles
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Question 94 Marks
$\triangle PQR \sim \Delta PEF , m \angle P =70^{\circ}, PQ =5 cm, PR =3.5 cm$ Construct $\triangle PEF$, if $PQ : PE =5: 7$.
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Question 104 Marks
Draw $\triangle A B C$ with side $B C=6 cm, A B=5 cm$, and $\angle A B C=60^{\circ}$. Also, construct $\triangle X Y Z$ whose sides are $\frac{3}{4}$ of the corresponding sides of $\triangle X Y Z$.
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Question 114 Marks
Draw a circle with 'O' as centre and radius 4 cm. Take a point P at a distance of 7.5 cm from 'O'. Draw tangents to the circle through the point P.
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Question 124 Marks
$\Delta$ΑΜΤ ~ $\Delta$ΑΗΕ, construct $\Delta$ΑΜT such that MA = 6.3 cm, $\angle$MAT = 120°, AT = 4.9 cm and $\frac{ MA }{ HA }=\frac{7}{5}$, then construct $\Delta$ΑΗΕ.
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