Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Including Negative (Level 2)

This math topic focuses on practicing the calculation of missing coordinates on a Cartesian grid to ensure the area of an acute triangle meets a specified value, which includes dealing with negative coordinates. Each problem involves a visual representation of a triangle with one or more coordinates missing, and students are tasked with calculating the missing coordinate using the given triangle area. The problems progressively include various scenarios and challenge the students to apply their knowledge of geometry and coordinate system logic.

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 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

Find the missing value for x if the triangle has an area of 31.5

a

-6

b

0

c

-2

d

-1

e

8

f

1

2

Find the missing value for y if the triangle has an area of 52.5

a

-2

b

-8

c

-4

d

-5

e

-9

f

-10

3

Find the missing value for y if the triangle has an area of 119

a

-16

b

-2

c

-8

d

-1

e

1

f

-9

4

Find the missing value for y if the triangle has an area of 55

a

6

b

8

c

16

d

4

e

10

f

3

5

Find the missing value for x if the triangle has an area of 45.5

a

9

b

4

c

7

d

0

e

-1

f

5

6

Find the missing value for x if the triangle has an area of 75

a

8

b

-3

c

12

d

9

e

2

f

6

7

Find the missing value for x if the triangle has an area of 35

a

0

b

-2

c

7

d

6

e

9

f

4