Which of the following pairs of triangles are congruent? ` A B C : A B=2\ c m ,\ A C=4\ c m ,\ /_A=40^0; X Y Z : X Z=Y Z=4,/_Z=40^0` ` P Q R : P Q=5\ c m ,\ P R=6\ c m ,\ /_P=55^0;\ D E F : D E=6\ c m ,\ E F=5\ c m ,\ /_D=55^0`

Which of the following pairs of triangles are congruent? If they are congruent, write out the pairs of equal angles. A B C : A B=3c m , B C=4c m , C A=2 c m D E F : D E=2 c m , E F=3 c m a n d F D=4 c m P Q R : P Q=17 c m , Q R=15 c m , P R=18 c m D E F : D E=18 c m , E F=17 c m , D F=15 c m .

If A B C and DEF are two triangles such that A B C ~= F D E a n d A B=5c m , /_B=40^0 a n d /_A=80^0dot Then, which of the following is true? D F=5c m , /_F=60^0 (b) D E=5c m , /_E=60^0 D F=5 c m , /_E=60^0 (d) D E=5c m , /_D=40^0

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m (ii) A D=5. 7 c m ,\ \ B D=9. 5 c m ,\ \ A E=3. 3 c m\ a n d\ E C=5. 5 c m .

M and N are points on the sides P Q and P R respectively of a P Q R . For each of the following cases, state whether M N Q R : P M=4c m ,\ \ Q M=4. 5 c m ,\ \ P N=4c m ,\ \ N R=4. 5 c m (ii) P Q=1. 28 c m ,\ \ P R=2. 56 c m ,\ \ P M=0. 16 c m , P N=0. 32 c m

In a A B C , D a n d E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=12 c m , A D=8 c m , A E=12 c m a n d A C=18 c m . (ii) A B=5. 6 c m , A D=1. 4 c m , A C=7. 2 c m a n d A E=1. 8 cm

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=5c m , A C=10 c m , B D=1. 5 c m and C D=3. 5 c m (ii) A B=4c m , A C=6c m , B D=1. 6 c m and C D=2. 4 c m (iii) A B=8c m , A C=24 c m , B D=6c m and B C=24 c m

In the following list of English alphabets, one alphabet has not been used. Identify the same. X N F A P S R W L T M D E X M G B C X Q J L O P V R C J Z O H S G O D I P T S M R A B E F G N U N E

In A B C and D E F , it is being given that: A B=5c m , B C=4c m and C A=4. 2 c m ; D E=10 c m , E F=8c m and F D=8. 4 c m . If A L_|_B C and D M_|_E F , find A L : D M .

A B C is such that A B=3c m , B C=2c m and C A=2. 5 c m . If D E F A B C and E F=4c m , then perimeter of D E F is 7. 5 c m (b) 15 c m (c) 22. 5 c m (d) 30 c m .

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .