Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Positive Only (Level 1)

This math topic focuses on using the Cartesian grid to solve geometry problems, specifically finding missing coordinates of acute triangles to attain a given area, considering only positive coordinates. Students are required to apply their understanding of the formula for the area of a triangle and coordinate geometry. Each problem presents a different triangle on a Cartesian grid, with various specified areas, requiring students to determine the missing x or y coordinate. This practical application helps improve students' problem-solving skills and deepens their understanding of geometric concepts on the Cartesian plane.

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

Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Positive Only Worksheet

Math worksheet on 'Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Positive Only (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 y if the triangle has an area of 18

a

9

b

8

c

2

d

-1

e

17

f

1

2

Find the missing value for y if the triangle has an area of 20

a

7

b

1

c

3

d

14

e

-2

f

6

3

Find the missing value for x if the triangle has an area of 12

a

8

b

2

c

1

d

-3

e

10

f

-8

4

Find the missing value for y if the triangle has an area of 28

a

5

b

-1

c

6

d

7

e

10

f

9

5

Find the missing value for x if the triangle has an area of 12

a

10

b

11

c

-3

d

3

e

1

f

5

6

Find the missing value for y if the triangle has an area of 18

a

-9

b

0

c

7

d

-1

e

1

f

5

7

Find the missing value for x if the triangle has an area of 12

a

7

b

14

c

17

d

9

e

13

f

11