Geometry - Semester 1 review

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is given by: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$.

Front

What is the definition of a trapezoid?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides.

Front

What is the converse of a conditional statement?

Back

The converse of a statement 'If P, then Q' is 'If Q, then P'.

Front

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

Back

The midpoint M is given by: $$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$.

Front

What is the triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the range of possible lengths for the third side of a triangle with sides of lengths a and b?

Back

The range is given by: $$|a - b| < x < a + b$$.

Front

What is the formula for the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles is given by: $$(n - 2) \times 180^\circ$$.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.