Geometry Chapter 1 Exam

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).

Front

Define a line in geometry.

Back

A line is a straight one-dimensional figure that extends infinitely in both directions with no endpoints.

Front

What is a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

Define a line segment.

Back

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

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance d is given by d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Front

How do you find the length of a line segment on a number line?

Back

The length of a line segment AB is found by taking the absolute difference of the coordinates: |A - B|.

Front

What is the definition of an angle?

Back

An angle is formed by two rays that share a common endpoint, called the vertex.

Front

What is the formula for calculating the distance between two points in a coordinate plane?

Back

The distance d between points (x_1, y_1) and (x_2, y_2) is given by d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Front

What is the significance of the negative sign in coordinates?

Back

A negative sign in coordinates indicates a position to the left (for x) or below (for y) the origin in the Cartesian plane.

Front

How do you determine if a point lies on a line segment?

Back

A point lies on a line segment if it is between the endpoints of the segment and satisfies the segment's equation.