Respuesta :
In the following graph, the coordinates of the vertices of quadrilateral QPRS are Q(2,4), P(4,4), R(3,1), and S(1,1). If quadrilateral QPRS is reflected across the x-axis to create quadrilateral GHIJ l, these coordinates are G(1,-1), H(3,-1) , I(2,-4) and J(4,-4).
Answer:
As, when Graph is reflected across the X axis
1. The two, Image which is Quadrilateral G H I J and Pre image which is Quadrilateral QPRS will be congruent.
2. Distance from X axis to each of the vertices of Quadrilateral QPRS will be same as distance from each of the vertices of Quadrilateral G H I J from X axis.
As, Quadrilateral QPRS lies in first Quadrant, so when it is reflected across X axis, it moves in Second Quadrant which is Quadrilateral GHIJ.
Q→→G, P→→H, R→→I, S→→J.
Coordinates of S=(1,1)
Coordinates of J=(-1,1)
