Geometry Finals

Front

What does subtracting the x-coordinates of two points give you?

Back

The horizontal distance.

Front

Why do we square the differences when using the Distance Formula?

Back

To avoid negative distances.

Front

What is the total area of a trapezoid with triangle areas of 18 and 21 square units?

Back

39 square units.

Front

What is the center of the circle found in the example?

Back

(8, 1).

Front

What does squaring the differences in the Distance Formula accomplish?

Back

It eliminates negative values.

Front

What is the Distance Formula?

Back

d = √((x2 - x1)² + (y2 - y1)²) where d is the distance between two points (x1, y1) and (x2, y2).

Front

What is the formula for the area of a trapezoid?

Back

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

Front

What is the Pythagorean Theorem?

Back

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

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.