Transversals: Solving for X

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.

Tags

CCSS.8.G.A.5

Front

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

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Tags

CCSS.8.G.A.5

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between the two lines and on opposite sides of the transversal.

Tags

CCSS.8.G.A.5

Front

What is the relationship between alternate interior angles 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.

Tags

CCSS.8.G.A.5

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie between the two lines and on the same side of the transversal.

Tags

CCSS.8.G.A.5

Front

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

Back

When two parallel lines are cut by a transversal, the consecutive interior angles are supplementary (add up to 180 degrees).

Tags

CCSS.8.G.A.5

Front

If two angles are supplementary, what is their sum?

Back

The sum of two supplementary angles is 180 degrees.

Tags

CCSS.7.G.B.5

Front

How do you find the value of x in an equation involving angles?

Back

To find the value of x, set up an equation based on the relationships between the angles and solve for x.

Tags

CCSS.7.G.B.5

Front

What is the formula for finding the measure of an angle if it is given as a function of x?

Back

The measure of the angle can be expressed as an equation, such as 2x + 10, and you can solve for x.

Tags

CCSS.4.MD.C.7