Crook Problems in Geometry

The video tutorial explains how to solve crook problems involving parallel lines and transversals with bends. It covers the procedure of marking bends, drawing parallel lines, and identifying angle relationships such as alternate interior and same side interior angles. Through examples, the tutorial demonstrates how to calculate unknown angles by using properties of parallel lines and angle addition.

What is a crook problem in geometry?

• A problem involving two intersecting lines.

• A problem involving two parallel lines and a bent transversal.

• A problem involving three parallel lines.

• A problem involving a single line and a curve.

What is the first step in solving a crook problem?

• Identify the angles.

• Draw a perpendicular line.

• Place a dot at the bend in the transversal.

• Calculate the angle measures.

What should you do after placing a dot at the bend in the transversal?

• Draw a perpendicular line.

• Calculate the angle measures.

• Identify the angles.

• Draw a line parallel to the existing lines.

What is the relationship between alternate interior angles when lines are parallel?

• They are complementary.

• They are equal to 90 degrees.

• They are congruent.

• They are supplementary.

What is the relationship between same side interior angles when lines are parallel?

• They are equal to 90 degrees.

• They are congruent.

• They are supplementary.

• They are complementary.

In the example problem with two bends, what is the first step?

• Identify the angles.

• Draw a perpendicular line.

• Place dots at each bend.

• Calculate the angle measures.

What is a common misconception about crook problems?

• That the angles are always 110 degrees.

• That all angles are equal.

• That the lines are not parallel.

• That the angles are always 90 degrees.