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.
The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B
<h3>What is a locus?</h3>
A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.
It is important to note that:
The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
A circle is the locus of all the points in the plane which are equidistant from the points in that plane
The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square
We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.
Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B