Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Including Negative (Level 1)

This math topic involves solving problems related to finding missing coordinates of vertices of acute triangles plotted on a Cartesian grid. The problems entail calculating the coordinates based on the given area of the triangles, which include scenarios with negative coordinates. The skill set required includes understanding of geometric representation on Cartesian planes, application of formulas for areas of triangles, and basic coordinate geometry. This topic is designed to enhance students' ability to utilize logic in geometry to solve real-world and mathematical problems on a coordinate grid.

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

Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Including Negative Worksheet

Math worksheet on 'Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Including Negative (Level 1)'. Part of a broader unit on 'Cartesian Grid Geometry Logic - Practice' Learn online: app.mobius.academy/math/units/cartesian_grid_geometry_logic_practice/

1

Find the missing value for x if the triangle has an area of 144

a

0

b

-12

c

-5

d

-17

e

-11

f

-9

2

Find the missing value for x if the triangle has an area of 42

a

1

b

4

c

6

d

2

e

7

f

10

3

Find the missing value for x if the triangle has an area of 54

a

3

b

-3

c

7

d

5

e

12

f

2

4

Find the missing value for x if the triangle has an area of 70

a

-16

b

-14

c

-6

d

2

e

-9

f

-7

5

Find the missing value for x if the triangle has an area of 72

a

-8

b

-15

c

-10

d

-12

e

-17

f

-16

6

Find the missing value for x if the triangle has an area of 40

a

-3

b

-2

c

2

d

-8

e

0

f

-10

7

Find the missing value for x if the triangle has an area of 96

a

-6

b

-7

c

-1

d

-2

e

2

f

-9