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1 / 10

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Use Determinants To Find The Area Of Certain Shapes

If the determinant of a 2x2 matrix formed by vectors representing two sides of a parallelogram is -8, what is the area of the parallelogram?

8 -8

If the determinant of a 2x2 matrix representing the sides of a parallelogram is 0, what can be concluded about the parallelogram?

It is a square.

It has no area.

6 If the vertices of a quadrilateral in the Cartesian plane are (0, 0), (3, 0), (3, 2), and (0, 2), what is the area of the quadrilateral using determinants?

6

9 True or False: The determinant of a matrix is only applicable for finding the area of rectangles.

True

False

How does scaling one of the vectors in a 2x2 matrix affect the area of the parallelogram it represents?

It has no effect.

It scales the area by the same factor.

How does the orientation of vectors affect the determinant when finding the area of a parallelogram?

It has no effect.

It changes the sign of the determinant.

If the determinant of a matrix representing the sides of a parallelogram is 12, what is the area of the parallelogram?

6

12 True or False: The determinant method can be applied to find the area of irregular shapes with curved sides.

True

False

If the vertices of a triangle in the Cartesian plane are (1, 2), (4, 5), and (6, 1), what is the area of the triangle using determinants?

5

10 If the vertices of a parallelogram in the Cartesian plane are (1, 1), (4, 1), (5, 4), and (2, 4), what is the area of the parallelogram using determinants?

9

12

Questions

Time

Score

Use Determinants To Find The Area Of Certain Shapes

If the determinant of a 2x2 matrix formed by vectors representing two sides of a parallelogram is -8, what is the area of the parallelogram?

8

-8

If the determinant of a 2x2 matrix representing the sides of a parallelogram is 0, what can be concluded about the parallelogram?

It is a square.

It has no area.

6 If the vertices of a quadrilateral in the Cartesian plane are (0, 0), (3, 0), (3, 2), and (0, 2), what is the area of the quadrilateral using determinants?

6

9

True or False: The determinant of a matrix is only applicable for finding the area of rectangles.

True

False

How does scaling one of the vectors in a 2x2 matrix affect the area of the parallelogram it represents?

It has no effect.

It scales the area by the same factor.

How does the orientation of vectors affect the determinant when finding the area of a parallelogram?

It has no effect.

It changes the sign of the determinant.

If the determinant of a matrix representing the sides of a parallelogram is 12, what is the area of the parallelogram?

6

12

True or False: The determinant method can be applied to find the area of irregular shapes with curved sides.

True

False

If the vertices of a triangle in the Cartesian plane are (1, 2), (4, 5), and (6, 1), what is the area of the triangle using determinants?

5

10

If the vertices of a parallelogram in the Cartesian plane are (1, 1), (4, 1), (5, 4), and (2, 4), what is the area of the parallelogram using determinants?

9

12

Incorrect

Great!