Mathematics

Grade9

Easy

Question

Graph the reflection of the polygon in the given line: x- axis.

hint Hint:

Reflect the given points on the graph directly, to obtain the efficient reflection points.

The correct answer is:

* In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
It is a type of transformation that produces mirror image of the shape.
The reflection transformation can be done in many ways.
Reflection over X-axis
*Reflection over Y=X
Given That:

>>>The reflection of a point (a, b) with respect to x-axis becomes (a, -b).
>>>Similarly, the coordinates of vertices of the given polygon becomes:
A (2,3) → A’ (2, -3)
B (6,1) → B’ (6, -1)
C (7,5) → C’ (7, -5)
>>>Therefore, the image becomes:

If (a, b) is reflected in the x-axis, its image is the point (a, -b).
A (2,3) → A’ (2, -3)
B (6,1) → B’ (6, -1)
C (7,5) → C’ (7, -5)
>>>Therefore, the points of reflection of the given polygon are: (2,-3); (6,-1); (7,-5).

If (a, b) is reflected in the y-axis, its image is the point _____.

If (a, b) is reflected in the y-axis, its image is the point (-a, b)

If (a, b) is reflected in the y-axis, its image is the point _____.

MathematicsGrade9

If (a, b) is reflected in the y-axis, its image is the point (-a, b)

Grade9

Mathematics

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 0 row 0 1 end table close square brackets space B equals open square brackets table attributes columnalign left end attributes row 1 1 row 1 1 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Multiply: $M equals open square brackets table attributes columnalign left end attributes row 1 2 end table close square brackets comma space N equals open square brackets table attributes columnalign left end attributes row a row b end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 4 3 row 9 8 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 4 row 7 row 9 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 3 row 6 row 8 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Add the matrices: $open square brackets table row 2 4 6 row 8 10 12 row 14 16 18 end table close square brackets comma open square brackets table row 1 3 5 row 7 9 11 row 13 15 17 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Add the matrices: $open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets comma open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Is the product defined of the matrices AB and BA?
$A equals open square brackets table attributes columnalign left end attributes row 1 2 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 4 row 5 row 6 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 5 row 6 end table close square brackets$ .

MathematicsGrade9

Grade9

Mathematics

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 1 2 row 4 5 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 3 4 row 1 3 end table close square brackets$ .

MathematicsGrade9

Grade9

Mathematics

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 21 45 67 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 98 56 34 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Add the matrices: $open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets comma space open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Add the matrices: $open square brackets table row cell negative 2 end cell row 4 end table close square brackets comma space open square brackets table row 3 row cell negative 2 end cell end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 2 3 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 4 row 5 end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Subtract the matrices: $open square brackets table row 8 2 row 3 5 row cell negative 7 end cell 3 end table close square brackets comma space open square brackets table row 2 9 row cell negative 1 end cell cell negative 6 end cell row 7 0 end table close square brackets$

MathematicsGrade9

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Graph the reflection of the polygon in the given line: x- axis.

Reflect the given points on the graph directly, to obtain the efficient reflection points.

The correct answer is:

Related Questions to study

If (a, b) is reflected in the y-axis, its image is the point _____.

If (a, b) is reflected in the y-axis, its image is the point _____.

Multiply:

Multiply:

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Subtract the matrices:

Subtract the matrices:

Subtract the matrices:

Subtract the matrices:

Add the matrices:

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Add the matrices:

Add the matrices:

Is the product defined of the matrices AB and BA?

Is the product defined of the matrices AB and BA?

Multiply: .

Multiply: .

Subtract the matrices: .

Subtract the matrices: .

Subtract the matrices:

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Add the matrices:

Add the matrices:

Add the matrices:

Multiply:

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Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 0 row 0 1 end table close square brackets space B equals open square brackets table attributes columnalign left end attributes row 1 1 row 1 1 end table close square brackets$

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 0 row 0 1 end table close square brackets space B equals open square brackets table attributes columnalign left end attributes row 1 1 row 1 1 end table close square brackets$

Multiply: $M equals open square brackets table attributes columnalign left end attributes row 1 2 end table close square brackets comma space N equals open square brackets table attributes columnalign left end attributes row a row b end table close square brackets$

Multiply: $M equals open square brackets table attributes columnalign left end attributes row 1 2 end table close square brackets comma space N equals open square brackets table attributes columnalign left end attributes row a row b end table close square brackets$

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 4 3 row 9 8 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets$

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 4 3 row 9 8 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets$

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 4 row 7 row 9 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 3 row 6 row 8 end table close square brackets$

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Add the matrices: $open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets comma open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets$

Add the matrices: $open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets comma open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets$

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 5 row 6 end table close square brackets$ .

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 5 row 6 end table close square brackets$ .

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 1 2 row 4 5 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 3 4 row 1 3 end table close square brackets$ .

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Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 21 45 67 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 98 56 34 end table close square brackets$

Subtract the matrices: $open square brackets table attributes columnalign left end attributes row 21 45 67 end table close square brackets comma space open square brackets table attributes columnalign left end attributes row 98 56 34 end table close square brackets$

Add the matrices: $open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets comma space open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets$

Add the matrices: $open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets comma space open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets$

Add the matrices: $open square brackets table row cell negative 2 end cell row 4 end table close square brackets comma space open square brackets table row 3 row cell negative 2 end cell end table close square brackets$

Add the matrices: $open square brackets table row cell negative 2 end cell row 4 end table close square brackets comma space open square brackets table row 3 row cell negative 2 end cell end table close square brackets$

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 2 3 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 4 row 5 end table close square brackets$

Multiply: $A equals open square brackets table attributes columnalign left end attributes row 2 3 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 4 row 5 end table close square brackets$

Subtract the matrices: $open square brackets table row 8 2 row 3 5 row cell negative 7 end cell 3 end table close square brackets comma space open square brackets table row 2 9 row cell negative 1 end cell cell negative 6 end cell row 7 0 end table close square brackets$

Subtract the matrices: $open square brackets table row 8 2 row 3 5 row cell negative 7 end cell 3 end table close square brackets comma space open square brackets table row 2 9 row cell negative 1 end cell cell negative 6 end cell row 7 0 end table close square brackets$