Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - Positive Only (Level 2)

This math topic focuses on using a Cartesian grid to find missing coordinates of an acute triangle when given its area. It involves understanding geometric principles and applying algebraic operations to determine the correct values that satisfy the conditions set by the triangle's area. The problems included are all in the context of a grid that only uses positive values, and each problem is presented with multiple-choice answers. This encourages practice in logical reasoning and spatial visualization, while also reinforcing knowledge of triangle area calculations 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 - Positive Only Worksheet

Math worksheet on 'Cartesian Grid - Area (Acute Triangle) to Missing Coordinate - 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

Find the missing value for y if the triangle has an area of 9

a

3

b

6

c

14

d

12

e

16

f

8

2

Find the missing value for y if the triangle has an area of 10.5

a

7

b

6

c

13

d

9

e

5

f

-4

3

Find the missing value for x if the triangle has an area of 21

a

15

b

17

c

9

d

10

e

14

f

16

4

Find the missing value for y if the triangle has an area of 15

a

4

b

-1

c

2

d

1

e

10

f

7

5

Find the missing value for y if the triangle has an area of 24.5

a

10

b

9

c

11

d

13

e

15

f

2

6

Find the missing value for x if the triangle has an area of 24.5

a

4

b

1

c

15

d

2

e

0

f

8

7

Find the missing value for x if the triangle has an area of 9

a

16

b

14

c

4

d

8

e

-2

f

12