 Geometrical problems in coordinate geometry

## Interactive practice questions

Consider the triangle shown below:

a

Determine the slope of the line segment $AB$AB.

b

Similarly, determine the slope of side $AC$AC:

c

Next determine the length of the side $AB$AB.

d

Now determine the length of the side $AC$AC.

e

Hence state the type of triangle that has been graphed. Choose the most correct answer:

An equilateral triangle.

A

An acute isosceles triangle.

B

An isosceles right-angled triangle.

C

A scalene right-angled triangle.

D

An equilateral triangle.

A

An acute isosceles triangle.

B

An isosceles right-angled triangle.

C

A scalene right-angled triangle.

D
Easy
Approx 9 minutes

Consider the triangle shown below:

Consider the triangle shown below:

### Outcomes

#### 10D.AG2.05

Solve problems involving the slope, length, and midpoint of a line segment

#### 10D.AG3.02

Verify, using algebraic techniques and analytic geometry, some characteristics of geometric figures