Question Text
Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b9e273b2305849799de.png' />
In the given figure, if $\angle$ ACB = $\angle$ CDA, AC= 8 cm and AD = 3 cm, Find BD.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c55273b230584979aba.PNG' />
In the above fig, if LM || CB and LN || CD, Is $\frac{AM}{AB}$ = $\frac{AN}{AD}$ ?
Question 3 :
Diagonals of a trapezium PQRS intersect each other at the point O, PQ is parallel to RS and PQ = 3 RS. Find the ratio of the areas of triangles POQ and ROS.
Question 4 :
Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles find out if $\frac{OA}{OC}$ =$\frac{OB}{OD}$ ?
Question 5 :
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c52273b230584979ab7.PNG' />
In the above figure, are the quadrilaterals similar ?
Question 7 :
E and F are points on the sides PQ and PR respectively of a ∆ PQR. State whether EF || QR if PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
Question 8 :
In an equilateral triangle ABC, D is a point on side BC such that BD = $\frac{1}{3}BC$. Is $9 AD^2$ = $7 AB^2$ ?
Question 9 :
Two polygons of the same number of sides are similar, if (a) their corresponding angles are ___________ and (b) their corresponding sides are ___________.
Question 10 :
State True or False: D is a point on side QR of $\Delta$PQR such that PD is perpendicular to QR. Then it is correct to say that $\Delta$PQD ~ $\Delta$RPD ?
