Let's start b writing down coordinates of all points: A(0,0,0) B(0,5,0) C(3,5,0) D(3,0,0) E(3,0,4) F(0,0,4) G(0,5,4) H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
Although this problem can be solved easily if given the
figure, we can simply imagine to solve this. We see that we are given two
points of the quadrilateral which are (2, 4) and (2, 3). This means that from P
to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides
therefore the perimeter is 4 units.
