Intermediate Geometry : How to find the endpoints of a line segment

Example Questions

Example Question #21 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and a midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #22 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #23 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #24 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #25 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #26 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #27 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #28 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #29 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and midpoint at . Find the coordinates of the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at .

Example Question #30 : How To Find The Endpoints Of A Line Segment

A line segment has an endpoint at  and a midpoint at . Find the other endpoint.

Explanation:

Recall how to find the midpoint of a line segment:

,

where  are the endpoints.

Let's first focus on the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

Solve for .

Next, find the  coordinate of the other endpoint. Using the information given by the question, we can write the following equation:

The second endpoint must be at