Question

The side of the given figure of tangram is 8 unit long. If the top left vertex is placed on (3,4) such that

the sides of the squares are parallel to X and y axis. Write the co-ordinates of each vertex and the points

shown in the figure. ​

Answer 1

Given : side of the given figure of tangram is 8 unit long .  the top left vertex is placed on (3,4)  such that  the sides of the squares are parallel to X and y axis.

To find :  coordinates of each vertex

Solution:

A is the  top left vertex ( 3 , 4)

AB = 8  

=> B = ( 11 , 4)

AD = 8

=> D = (3 , - 4)

C = ( 11 , - 4)

A ( 3 , 4)  ,  B = ( 11 , 4) , C = ( 11 , - 4) and  D = (3 , - 4)  

G is mid point of AC

=> G  =  ( 7 , 0)

E is mid point of   A & G

E = ( 5 , 2)

H is mid point of C & G

=> H = (9 , - 2)

F is mid point of A & D

=> F = ( 3 , 0)

I is 4 unit below E

=> I = ( 5 , -2 )

A ( 3 , 4)  ,  B = ( 11 , 4) , C = ( 11 , - 4) , D = (3 , - 4)   E = ( 5 , 2)  

F = ( 3 , 0)   G  =  ( 7 , 0)   H = (9 , - 2)   I = ( 5 , -2 )  

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