Geometry Sem 1 Review

Front

What is the formula for the area of a trapezoid?

Back

A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases and h is the height.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse; CAH: Cosine = Adjacent/Hypotenuse; TOA: Tangent = Opposite/Adjacent.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

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 Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction, while an irrational number cannot.