Question

explore the properties of reflection by following these steps.

☑️ the angles change.
□ the angles do not change.
☑️ the angles are always right angles.

1. use the protractor to measure these angles:

( mangle ajk = square^circ )
( mangle bkj = square^circ )
( mangle clj = square^circ )

check

Explanation:

Step1: Recall reflection property (perpendicular)

In a reflection, the line of reflection is perpendicular to the segment joining a point and its image. So, \( \angle AJK \), \( \angle BKJ \), \( \angle CLJ \) should be right angles (90°) due to the reflection's property (the line of reflection is perpendicular to \( AJ \), \( BK \), \( CL \) as \( J, K, L \) are on the line of reflection and \( A - A', B - B', C - C' \) are reflected pairs).

Step2: Measure angles (theoretical)

Since the line of reflection is perpendicular to the segments (from the figure's symmetry and reflection properties), each angle \( \angle AJK \), \( \angle BKJ \), \( \angle CLJ \) is \( 90^\circ \).

Answer:

\( m\angle AJK = \boldsymbol{90}^\circ \), \( m\angle BKJ = \boldsymbol{90}^\circ \), \( m\angle CLJ = \boldsymbol{90}^\circ \)