proving parallel lines

Front

What is the condition for two lines to be parallel in geometry?

Back

Two lines are parallel if they never intersect and are equidistant from each other.

Front

What are Alternate Interior Angles?

Back

Alternate Interior Angles are pairs of angles that are on opposite sides of a transversal and inside the two lines.

Front

What is the relationship between Alternate Exterior Angles?

Back

Alternate Exterior Angles are pairs of angles that are on opposite sides of a transversal and outside the two lines.

Front

What are Vertical Angles?

Back

Vertical Angles are the angles opposite each other when two lines intersect. They are always equal.

Front

How can you prove that two lines are parallel using Corresponding Angles?

Back

If a transversal intersects two lines and the corresponding angles are equal, then the lines are parallel.

Front

What is the significance of the value of x in proving parallel lines?

Back

The value of x can represent the measure of angles that, when calculated, can show whether the angles satisfy the conditions for parallel lines.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What are Consecutive Interior Angles?

Back

Consecutive Interior Angles are pairs of angles that are on the same side of the transversal and inside the two lines. They are supplementary if the lines are parallel.

Front

What is the relationship between the angles formed when two parallel lines are cut by a transversal?

Back

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

Front

How can you identify Alternate Interior Angles in a diagram?

Back

Look for angles that are on opposite sides of the transversal and between the two lines.