Area (Parallelogram) to Missing Coordinate - Including Negative (Level 2)

This math topic involves determining missing coordinates on a Cartesian grid for a parallelogram when given its area, incorporating both positive and negative values. The problems require understanding and applying the formula for the area of a parallelogram, which requires calculation skills in algebra and geometry. Each question presents a parallelogram plotted on a coordinate grid and proposes multiple choice answers for the missing x or y coordinate based on a given area. This set of problems is designed to enhance skills in geometry logic specifically related to parallelograms in a Cartesian coordinate context.

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

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

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Cartesian Grid - Area (Parallelogram) to Missing Coordinate - Including Negative
1
An svg image showing a math problem
Find the missing value for x if the parallelogram has an area of 52
a
10
b
8
c
-1
d
9
e
6
f
1
2
An svg image showing a math problem
Find the missing value for x if the parallelogram has an area of 54
a
2
b
10
c
-7
d
-6
e
4
f
-5
3
An svg image showing a math problem
Find the missing value for y if the parallelogram has an area of 72
a
9
b
2
c
12
d
16
e
7
f
4
4
An svg image showing a math problem
Find the missing value for x if the parallelogram has an area of 54
a
2
b
15
c
8
d
-2
e
14
f
13
5
An svg image showing a math problem
Find the missing value for y if the parallelogram has an area of 84
a
6
b
5
c
2
d
0
e
-5
f
13
6
An svg image showing a math problem
Find the missing value for y if the parallelogram has an area of 63
a
-10
b
-4
c
4
d
-13
e
-14
f
-8
7
An svg image showing a math problem
Find the missing value for y if the parallelogram has an area of 60
a
-8
b
1
c
-7
d
-2
e
-6
f
0
8
An svg image showing a math problem
Find the missing value for x if the parallelogram has an area of 63
a
3
b
-3
c
2
d
5
e
-1
f
7