Question

1. lines j and k are parallel. mark any four congruent angles.

Explanation:

Step1: Recall parallel - line angle rules

When two parallel lines are cut by a transversal, corresponding angles are congruent, alternate - interior angles are congruent, and alternate - exterior angles are congruent.

Step2: Identify congruent angles

Let's assume the transversal intersects lines \(j\) and \(k\). If we label the angles formed, for example, the top - left angle on line \(j\) and the top - left angle on line \(k\) are corresponding angles and are congruent. Also, the bottom - left angle on line \(j\) and the bottom - left angle on line \(k\) are corresponding angles and are congruent. The top - right angle on line \(j\) and the top - right angle on line \(k\) are corresponding angles and are congruent. And the bottom - right angle on line \(j\) and the bottom - right angle on line \(k\) are corresponding angles and are congruent.

Answer:

Any four corresponding angles (or any four alternate - interior or alternate - exterior angles) formed by the transversal and the parallel lines \(j\) and \(k\) are congruent. For example, if we label the angles as \(\angle1\), \(\angle2\), \(\angle3\), \(\angle4\) which are corresponding angles.