Question

explore the properties of reflection by following these steps.
m∠ajk = 90 °
m∠bkj = 90 °
m∠clj = 90 °

1. the line of reflection has been returned to its original position. use the ruler to measure these two segments:

bk = units
kb = units
check

Explanation:

Step1: Analyze the reflection property

In a reflection, the distance from a point to the line of reflection is equal to the distance from its image to the line of reflection. So, \( BK \) and \( KB' \) should be equal because \( B' \) is the reflection of \( B \) over the line (containing \( K, J, L \)).

Step2: Measure the segments (visually from the diagram)

Looking at the diagram, the horizontal segment \( BK \) and \( KB' \) (since the line of reflection is vertical, these are horizontal distances). From the ruler at the bottom, we can see that the length from \( B \) to \( K \) and \( K \) to \( B' \) is likely 2 units (assuming the ruler markings: from the position of \( K \) (around 6 on the ruler) and \( B \) is 2 units left of \( K \), \( B' \) is 2 units right of \( K \)). So \( BK = 2 \) units and \( KB' = 2 \) units.

Answer:

\( BK = \boldsymbol{2} \) units, \( KB' = \boldsymbol{2} \) units