Chapter 14.6, Problem 27WE

To determine

To explain the construct a line.

Answer to Problem 27WE

The composite of reflection line $k\text{ and }j.$

Explanation of Solution

Given information: Given line.

Calculation:

Step 1: First place the compass on the given point $B$ and draw two point across the line $k$ .

Step 2: Now from each point on the line draw arcs which intersect at a point $C.$

The line, join Point A and the intersection of the arcs, point $C$ , will be perpendicular to the link $k$ and the point. Where the arcs meet would be the reflection of the point $B$ .

Step3: Now, as the point $A$ is the pre-image of the point C, therefore, the line $AC$ should be perpendicular to the line $j$ ,the line of reflection.

Step 4: Use compass to draw both side of the line $AC$ to bisect the line segment $AC.$

Step 5: The line, join intersection of the arcs will be perpendicular to the segment $AC.$

  

Thus above figure to show the composite of reflection line $k\text{ and }j.$