Transversals with Equations

Front

What is a transversal in geometry?

Back

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

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What is the relationship between alternate interior angles?

Back

Alternate interior angles are equal when a transversal crosses parallel lines.

Front

What is the sum of the angles on a straight line?

Back

The sum of the angles on a straight line is 180 degrees.

Front

What is the equation for finding the measure of an angle when given its supplementary angle?

Back

If angle A is supplementary to angle B, then A + B = 180 degrees.

Front

How do you solve for x in the equation 33 = 7X + 5?

Back

Subtract 5 from both sides to get 28 = 7X, then divide by 7 to find X = 4.

Front

What is the equation to find x if two angles are complementary?

Back

If angle A and angle B are complementary, then A + B = 90 degrees.

Front

What does it mean if two angles are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always equal.

Front

How do you set up an equation for the angles formed by a transversal?

Back

Identify the relationships (corresponding, alternate interior, etc.) and set up equations based on their properties.

Front

What is the equation to solve for x in 12X - 29 + 4X + 1 = 180?

Back

Combine like terms to get 16X - 28 = 180, then solve for X.