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 triangle are congruent? A B C : A B=10\ c m ,\ /_A=40^0,\ /_B=55^0; X Y Z : X Y=10,/_Y=40^0,\ /_Z=85^0 P Q R : P R=5\ c m ,\ /_P=37^0,\ /_R=64^0;\ D E F : D E=5\ c m ,\ /_D=37^0,\ /_F=64^0

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? (a)D F=5c m ,\ /_F=60^0 (b) D E=5c m ,\ /_E=60^0 (c)D F=5\ c m ,\ /_E=60^0 (d) D E=5c m ,\ /_D=40^0

Draw P Q R in which P Q=3\ c m , Q R=4\ c m and R P=5\ c mdot Also, draw the bisector of /_Q .

P Q R S is a quadrilateral. P R\ a n d\ Q S intersect each other O . In which of the following cases, P Q R S is a parallelogram? (i) _∠P = 100°, ∠Q = 80°, ∠R = 95° (ii) /_P=85^0,\ /_Q=85^0,\ /_R=95^0 (iii) P Q=7C M ,\ Q R=7C M ,\ R S=8C M ,\ S P=8C M (iv) O P=6. 5 c m ,\ O Q=6. 5 c m ,\ O R=5. 2 c m ,\ O S=5. 2 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 MN||QR : (i) 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 the figure given below D E || B C . If A D=2. 4 c m , D B=3. 6 c m and A C=5c m , Find A E .

Construct a quadrilateral A B C D given A B=5. 6 c m ,\ B C=4. 1 c m ,\ C D=4. 4 c m ,\ A D=3. 3 c m\ a n d\ /_A=75^0dot

Construct a quadrilateral A B C D given B C=6. 6 c m ,\ C D=4. 4 c m ,\ A D=5. 6 c m\ a n d\ /_D=100^0a n d\ /_C=95^0dot

If A B C\ a n d\ D E F are two triangles such that A C=2. 5\ c m ,\ B C=5\ c m ,\ /_C=75^0,\ DE=2.5 cm ,\ DF=5\ cm\ a n d\ /_D=75^0 . Are two triangles congruent?