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10.04 Polygons in the coordinate plane

Interactive practice questions

Consider the triangle shown below:

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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 precise answer.

An acute isosceles triangle.

A

An isosceles right triangle.

B

A scalene right triangle.

C

An equilateral triangle.

D
Easy
8min

Consider the triangle shown below:

Easy
7min

Consider the triangle shown below:

Easy
15min

A triangle is formed by three points; Point A $\left(6,9\right)$(6,9), Point B $\left(3,4\right)$(3,4) and Point C $\left(9,4\right)$(9,4).

Easy
4min
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Outcomes

I.G.GPE.4

Use coordinates to prove simple geometric theorems algebraically.

I.G.GPE.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g. Using the distance formula.

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