Fall Final Review (2023)

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What are the properties of an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length, and the angles opposite those sides are also equal.

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the formula for finding the midpoint of a line segment?

Back

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

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart and have the same slope.

Front

How do you find the slope of a line given two points?

Back

The slope m of a line through points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c^2 = a^2 + b^2.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle can be calculated using the formula A = (1/2) * base * height.