Geometry Review

Front

What is the distance formula in geometry?

Back

The distance formula is given by: d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of two points.

Front

How do you find the midpoint between two points?

Back

The midpoint M between two points (x1, y1) and (x2, y2) is calculated as: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does it mean for points to be coplanar?

Back

Points are coplanar if they lie on the same plane.

Front

If T is the midpoint of segment SU, how do you find the value of x?

Back

To find x, use the midpoint formula: T = ((x1 + x2)/2, (y1 + y2)/2) and solve for x.

Front

What is the definition of distance in geometry?

Back

Distance is the length of the shortest path between two points.

Front

What is the significance of the Pythagorean theorem in finding distances?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, which is used to calculate distance.

Front

How do you determine if three points are collinear?

Back

Three points are collinear if the area of the triangle formed by them is zero, which can be checked using the slope formula.

Front

What is the formula for the area of a triangle given its vertices?

Back

The area A can be calculated using the formula: A = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints.