Geometry Semester Review

Front

What is the definition of a slope in geometry?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line. It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (-6, -4) and (-1, 6)?

Back

The slope is 2.

Front

What is the equation of a line with a slope of -3 and a y-intercept of 8?

Back

The equation is y = -3x + 8.

Front

What is the value of x if 2x + 4 = 38?

Back

x = 17.

Front

What is the value of x if 3x - 5 = 43?

Back

x = 16.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

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): a² + b² = c².

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

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.