Transversals, Solving & writing equations and inequalities

Front

What is a transversal in geometry?

Back

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

Front

If two parallel lines are cut by a transversal, what can be said about the corresponding angles?

Back

Corresponding angles are equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you solve the inequality 25 - x < 15 + x?

Back

Add x to both sides: 25 < 15 + 2x; then subtract 15: 10 < 2x; divide by 2: 5 < x or x > 5.

Front

What does it mean to 'set equations equal to each other'?

Back

It means to find the value of the variable that makes both equations true.

Front

What is the solution to the equation 2x + 4 = 12?

Back

x = 4.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or not equal to the other.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you graph the equation y = -25x + 120?

Back

Start at the y-intercept (0, 120) and use the slope (-25) to find another point.

Front

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

Back

Alternate interior angles are equal, and same-side interior angles are supplementary.