Math 2: Review #3

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 does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

Front

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

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

How do you find the missing length in a geometric figure?

Back

Use properties of similar triangles, the Pythagorean theorem, or algebraic equations based on the figure.

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

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function.

Front

How do you determine the solutions of a quadratic equation?

Back

Solutions can be found using factoring, completing the square, or the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.

Front

What is the effect of changing the 'a' value in the quadratic function y = a(x - h)² + k?

Back

Changing 'a' affects the width and direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.