Question

In the graph above, the cordinates of the vertices of quadrilateral QPRS are Q(2,4), P(2,4), R(3,1), and S(1,1). If quadrilateral QPRS is reflected across the x-axis to create quadrilateral GHIJ l, find tge coordinates of point j

Answer 1

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)

Answer 2

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).