Cartesian Gri

Diagram Coordinates to Area (Right Triangle) - Positive Only (Level 2)

This math topic focuses on finding the area of right triangles when given coordinates on a Cartesian grid. It is exclusively concerned with positive coordinates, helping learners enhance their understanding of triangulation within the first quadrant. This subject is part of a larger module dedicated to triangle area calculations. Each question requires calculating triangle areas using vertex coordinates provided in a diagram, testing both geometric visualization and analytical skills in a single coordinate plane setup.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Diagram Coordinates to Area (Right Triangle) - Positive Only

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

10

Find the area of the triangle formed by these coordinates

yx(9,4)(2,4)(2,9)

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Teaching Transcript

🎙️

Find the area of the shape on the Cartesian grid from its coordinates

To find the width, we notice that the X coordinates go from negative 2 to 3

So that's a width of 5

And for the height, the Y coordinates go from negative 4 to 3

So that's a height of 7

Our shape is a rectangle, so the area is width times height, which is 35. This approach works for any shape as you can find the dimensions from the grid.

Cartesian Grid - Diagram Coordinates to Area (Right Triangle) - Positive Only Worksheet

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Math worksheet on 'Cartesian Grid - Diagram Coordinates to Area (Right Triangle) - Positive Only (Level 2)'. Part of a broader unit on 'Cartesian Grid Geometry Logic - Practice' Learn online: app.mobius.academy/math/units/cartesian_grid_geometry_logic_practice/
1
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
13.5
b
18
c
15
d
9
e
22.5
f
16.5
2
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
21
b
13
c
1
d
39
e
29
f
9
3
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
0.5
b
19.5
c
15.5
d
5.5
e
10.5
f
17.5
4
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
2.5
b
29.5
c
8.5
d
17.5
e
14.5
f
31
5
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
7
b
9
c
11.5
d
10
e
13.5
f
11
6
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
17.5
b
23.5
c
20.5
d
25
e
10
f
19
7
An svg image showing a math problem
Find the area of the triangle formed by these coordinates
a
33
b
21
c
9
d
5
e
37
f
3