### All Intermediate Geometry Resources

## Example Questions

### Example Question #41 : Coordinate Geometry

A line with endpoints of and has a midpoint of . What are the coordinates of the unknown endpoint?

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line:

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

Now, let's solve for the coordinate.

The coordinate for the other endpoint must be .

### Example Question #42 : Coordinate Geometry

A line with endpoints of and has a midpoint of . What are the coordinates of the unknown endpoint?

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line:

In other words, the coordinates of the midpoint are just the average of the and coordinates of the endpoints.

We can then solve for the coordinate of the second endpoint.

Let's start with the coordinate by using the given midpoint and endpoint.

Now, let's solve for the coordinate.

The coordinate for the other endpoint must be .

### Example Question #43 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

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 #44 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

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 #45 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

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 #46 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line segment:

,

where are the endpoints.

Solve for .

The second endpoint must be at .

### Example Question #47 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line segment:

,

where are the endpoints.

Solve for .

The second endpoint must be at .

### Example Question #48 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line segment:

,

where are the endpoints.

Solve for .

The second endpoint must be at .

### Example Question #49 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line segment:

,

where are the endpoints.

Solve for .

The second endpoint must be at .

### Example Question #50 : Coordinate Geometry

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

**Possible Answers:**

**Correct answer:**

Recall how to find the midpoint of a line segment:

,

where are the endpoints.

Solve for .

The second endpoint must be at .

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