Chapters

## Exercise 1

Write the equation (in all possible forms) of the line that passes through the points and .

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## Exercise 2

Identify the type of triangle formed by the points: and .

## Exercise 3

Determine the slope and y-intercept of the line .

## Exercise 4

Find the equation of the line r which passes through the point and is parallel to the line .

## Exercise 5

Find the equation of the line that passes through the point and is parallel to the straight line that joins the points and .

## Exercise 6

The points and are vertices of an isosceles triangle ABC that has its apex C on the line . If AC and BC are the equal sides, calculate the coordinates of Point C.

## Exercise 7

The line passes through the point and is parallel to the line . Calculate the values of m and n.

## Exercise 8

Given triangle ABC with coordinates and , calculate the equation of the median that passes through the vertex C.

## Exercise 9

A parallelogram has a vertex , and the point of intersection of its two diagonals is . If the other vertex is at the origin, calculate:

1 The other two vertices.

2 The equations of the diagonals.

3 The length of the diagonal.

## Solution of exercise 1

Write the equation (in all possible forms) of the line that passes through the points and .

## Solution of exercise 2

Identify the type of triangle formed by the points: and .

Isosceles

Right triangle

## Solution of exercise 3

Determine the slope and y-intercept of the line .

## Solution of exercise 4

Find the equation of the line r which passes through the point and is parallel to the line .

## Solution of exercise 5

Find the equation of the line that passes through the point and is parallel to the straight line that joins the points and .

## Solution of exercise 6

The points and are vertices of an isosceles triangle ABC that has its apex C on the line . If AC and BC are the equal sides, calculate the coordinates of Point C.

## Solution of exercise 7

The line passes through the point and is parallel to the line . Calculate the values of m and n.

## Solution of exercise 8

Given triangle ABC with coordinates and , calculate the equation of the median that passes through the vertex C.

## Solution of exercise 9

A parallelogram has a vertex , and the point of intersection of its two diagonals is . If the other vertex is at the origin, calculate:

1 The other two vertices.

M is the midpoint of

M is the midpoint of

2 The equations of the diagonals.

Equation of AC

Equation of OB

3 The length of the diagonal.

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