Draw any quadrilateral ABCD. Construct another quadrilateral AB'C'D' similar to the quadrilateral ABCD with each side equal to 4/5th of the corresponding side of quadrilateral ABCD. Write the steps of construction also.
Answer:
We draw a quadrilateral ABCD and also similar quadrilateral to AB'C'D' with scale factor , As :
Step 1 : Draw any quadrilateral ABCD .
Step 2 : Join AC . Below AC, draw a line AX As CAX is any acute angle and draw five arcs of equal radii on line AX that intersect at X1 . X2 , X3, X4 and X5 such that
AX1 = X1 X2 = X2 X3 = X3X4 = X4X5
Step 3 : Join X5 to C and than draw a line from X4 as parallel to X5C that intersect our line AC at C' .
Step 4 : Draw line from C' as parallel to CD that intersect line AD at D'
Step 5 : Draw line from C' as parallel to BC that intersect line AB at B'
Now we can say that quadrilateral AB'C'D' is similar to quadrilateral ABCD as each side of the corresponding sides. (Ans)
We draw a quadrilateral ABCD and also similar quadrilateral to AB'C'D' with scale factor , As :
Step 1 : Draw any quadrilateral ABCD .
Step 2 : Join AC . Below AC, draw a line AX As CAX is any acute angle and draw five arcs of equal radii on line AX that intersect at X1 . X2 , X3, X4 and X5 such that
AX1 = X1 X2 = X2 X3 = X3X4 = X4X5
Step 3 : Join X5 to C and than draw a line from X4 as parallel to X5C that intersect our line AC at C' .
Step 4 : Draw line from C' as parallel to CD that intersect line AD at D'
Step 5 : Draw line from C' as parallel to BC that intersect line AB at B'
Now we can say that quadrilateral AB'C'D' is similar to quadrilateral ABCD as each side of the corresponding sides. (Ans)