Ontario 10 Academic (MPM2D)

Geometrical problems in coordinate geometry

Consider the triangle shown below:

Loading Graph...

a

Determine the slope of the line segment $AB$`A``B`.

b

Similarly, determine the slope of side $AC$`A``C`:

c

Next determine the length of the side $AB$`A``B`.

d

Now determine the length of the side $AC$`A``C`.

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

Sign up to try all questions

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

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