High School Geometry Test Questions: Consecutive Interior Angles and Parallel Lines

📚 Quick Study Guide

• 📐 Parallel Lines: Lines that never intersect. Symbol: $||$
• transversal cuts across two or more lines.
• 🤝 Consecutive Interior Angles: Angles that lie on the same side of the transversal and between the two lines.
• ❗ Consecutive Interior Angles Theorem: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary (add up to $180^{\circ}$).
• ✍️ Supplementary Angles: Two angles whose measures add up to $180^{\circ}$.

✍️ Practice Quiz

1. What is the relationship between consecutive interior angles when the lines they are formed by are parallel?
   1. They are congruent.
   2. They are complementary.
   3. They are supplementary.
   4. They are vertical.
2. If one of two consecutive interior angles measures $60^{\circ}$, and the lines are parallel, what is the measure of the other angle?
   1. $30^{\circ}$
   2. $60^{\circ}$
   3. $90^{\circ}$
   4. $120^{\circ}$
3. Which of the following is NOT a property associated with parallel lines cut by a transversal?
   1. Alternate interior angles are congruent.
   2. Corresponding angles are congruent.
   3. Consecutive interior angles are supplementary.
   4. Vertical angles are supplementary.
4. If two lines are cut by a transversal and consecutive interior angles are NOT supplementary, what can you conclude?
   1. The lines are perpendicular.
   2. The lines are parallel.
   3. The lines intersect.
   4. The lines are skew.
5. Angle A and Angle B are consecutive interior angles formed by two parallel lines cut by a transversal. If $m\angle A = (2x + 10)^{\circ}$ and $m\angle B = (3x + 20)^{\circ}$, find the value of x.
   1. 10
   2. 30
   3. 50
   4. 70
6. In the diagram, lines m and n are parallel and cut by transversal t. If one angle measures 55 degrees, which other angle must also measure 55 degrees?
   1. The consecutive interior angle on the same side of the transversal.
   2. The consecutive interior angle on the opposite side of the transversal.
   3. The corresponding angle.
   4. None of the above.
7. Which of the following statements is true about consecutive interior angles?
   1. They are always congruent.
   2. They are always supplementary.
   3. They are sometimes supplementary.
   4. They are never supplementary.