Geometry Fall 24 Final Exam Review

Front

What is the Pythagorean Theorem?

Back

Front

How do you find the midpoint of a line segment with endpoints A(x1, y1) and B(x2, y2)?

Back

The midpoint M of a line segment with endpoints A(x1, y1) and B(x2, y2) is given by the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the distance formula in a coordinate plane?

Back

Front

If m∠4 = 133°, what is m∠6 if they are corresponding angles?

Back

If m∠4 = 133°, then m∠6 = 133° because corresponding angles are equal.

Front

What is the formula to find the endpoint S of a line segment PS if the midpoint M is known?

Back

If P(x1, y1) is one endpoint and M(xm, ym) is the midpoint, then the endpoint S can be found using: S = (2xm - x1, 2ym - y1).

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects. They are equal when the lines are parallel.

Front

What is the definition of consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that are on the same side of a transversal and inside the two lines it intersects. They are supplementary when the lines are parallel.

Front

How do you solve for x in a linear equation?

Back

To solve for x in a linear equation, isolate x on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until x is alone.

Front

What is the formula for the area of a triangle?

Back

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°.