Similarity

 $\Delta ABC$  is similar to  $\Delta DEF$  , then  $\frac{AB}{DE}\ =\ \frac{ }{DF}$  

• BC

• AC

• AB

Sides of two similar triangles are in the ratio 3:5. Areas of these triangles are in the ratio _______.

• 25:9

• 3:5

• 9:25

A vertical pole 40m long casts a shadow 20m long on the ground. At the same time a ______ tower casts a shadow 50m long on the ground.

• 100m

• 50m

• 25m

 $\Delta LMN\$  is similar to  $\Delta PQR$  , 9 $\times$  $A\left(\Delta PQR\right)$ = 16  $\times$  $A\left(\Delta LMN\right)$ . If QR = 20, then MN= (a)   .

In $\Delta ABC$ , point D is on side BC such that B-D-C. If BD=8, BC=12, then  $\frac{A\left(\Delta ABD\right)}{A\left(\Delta ADC\right)}=$  ________  

• 1:2

• 2:1

• 2:3

In the given figure, BC ⊥ AB, AD ⊥ AB, BC = 4, AD = 8, then find  $\frac{A(ΔABC)}{A(ΔADB)}$  

(a)  

Given below are some triangles and lengths of line segments. Identify in which figures, ray PM is the bisector of ∠QPR.

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• 

In trapezium ABCD, side AB || side DC, diagonals AC and BD intersect in point O. If AB = 20, DC = 6, OB = 15 then Find OD.

(a)  

In the fig, seg DE $\parallel$ seg BC. Find AD 

(a)  

In the fig, line l $\parallel$ line m $\parallel$  line n and line p and q are their transversals. If AB=6, BC=8, EF=12, then find DF  

(a)