The figure below shows quadrilateral ABCD and a line of reflection r. Determine the coordinates of B ' reflected from B .
A) ( 2 , 2 )
B) ( 1 , 2 )
C) ( 2 , 0 )
D) ( 2 , 1 )
E) ( 1 , 0 )

Question

The figure below shows quadrilateral ABCD and a line of reflection r. Determine the coordinates of B ' reflected from B . ​  ​
A) ( 2 , 2 ) 
B) ( 1 , 2 ) 
C) ( 2 , 0 ) 
D) ( 2 , 1 ) 
E) ( 1 , 0 )

Quizplus · Accepted Answer

The line of reflection is the vertical line passing through point D. To find the reflected point B', we need to find the same distance from the line of reflection to B and B', and then draw a perpendicular to the line of reflection to find the reflected point.

The distance from point B to the line of reflection is the horizontal distance from point B to point D, which is 2 units. To find the reflected point, we need to find the point on the other side of the line of reflection that is also 2 units away from point D. This point is (2, 0), which is the same distance from D as B.

Thus, the coordinates of B' are (2, 0). The answer is C.

The Figure Below Shows Quadrilateral ABCD and a Line of Reflection