Geo Q1 Mixed IA Review

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

If m∠RSP = 3x and m∠RSQ = 9x - 120, how do you find x?

Back

Set the two angles equal since SP is an angle bisector: 3x = 9x - 120. Solve for x.

Front

What are the roots of the equation x² - 9x + 20 = 0?

Back

The roots are x = 4 and x = 5, found using factoring or the quadratic formula.

Front

What is the slope of a line parallel to y = 4x - 9?

Back

The slope is 4, as parallel lines have the same slope.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y₁ = m(x - x₁), where (x₁, y₁) is the point and m is the slope.

Front

What is the solution for y if the equation is y = 3?

Back

The solution is simply y = 3.

Front

How do you find the measure of an angle if given a related angle?

Back

Use the properties of angles, such as supplementary or complementary relationships, to find the unknown angle.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.