Mathematics

Grade9

Easy

Question

The vertices of $triangle$ LMN are L(-3, 6), M(0, 3), and N(-6, 0). Use scalar multiplication to find the image of $triangle$ LMN after a dilation with its center at the origin and a scale factor of $1 third$ . Find the coordinates of the image.

$[\begin{matrix} 1 & 0 & - 2 \\ 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & 2 \\ 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & - 2 \\ - 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & - 2 \\ 2 & 1 & 0 \end{matrix}]$

Hint:

Find out the co-ordinates of the image of the triangle by the multiplication of scale factor with matrix of the coordinates of the given triangle.

The correct answer is: $open square brackets table row cell negative 1 end cell 0 cell negative 2 end cell row 2 1 0 end table close square brackets$

$G i v e n comma F o r space increment L M N comma L open parentheses x subscript 1 comma y subscript 1 close parentheses space equals space L open parentheses negative 3 comma 6 close parentheses M open parentheses x subscript 2 comma y subscript 2 close parentheses space equals space M open parentheses 0 comma 3 close parentheses N open parentheses x subscript 3 comma y subscript 3 close parentheses space equals space N open parentheses negative 6 comma 0 close parentheses S c a l e space f a c t o r space equals space 2 T o space f i n d comma L apostrophe open parentheses x subscript 4 comma y subscript 4 close parentheses M apostrophe open parentheses x subscript 5 comma y subscript 5 close parentheses N apostrophe open parentheses x subscript 6 comma y subscript 6 close parentheses H e r e comma W e space w i l l space u s e space s c a l a r space m u l t i p l i c a t i o n space t o space f i n d space t h e space c o o r d i n a t e s space o f space t h e space i m a g e. T h e r e f o r e comma open parentheses S c a l e space f a c t o r close parentheses open square brackets table attributes columnalign left left left end attributes row cell x subscript 1 end cell cell x subscript 2 end cell cell x subscript 3 end cell row cell y subscript 1 end cell cell y subscript 2 end cell cell y subscript 3 end cell end table close square brackets equals open square brackets table attributes columnalign left left left end attributes row cell x subscript 4 end cell cell x subscript 5 end cell cell x subscript 6 end cell row cell y subscript 4 end cell cell y subscript 5 end cell cell y subscript 6 end cell end table close square brackets 1 third open square brackets table row cell negative 3 end cell 0 cell negative 6 end cell row 6 3 0 end table close square brackets equals open square brackets table row cell negative 1 end cell 0 cell negative 2 end cell row 2 1 0 end table close square brackets T h e r e f o r e comma space t h e space c o o r d i n a t e s space o f space t h e space i m a g e space o f space increment L M N space a r e open square brackets table row cell negative 1 end cell 0 cell negative 2 end cell row 2 1 0 end table close square brackets$

Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

MathematicsGrade9

Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.

Grade9

Mathematics

Find the value of m.

MathematicsGrade9

Grade9

Mathematics

Simplify the product
$negative 3 open square brackets table row cell negative 4 end cell 1 0 row 9 cell negative 5 end cell cell negative 7 end cell end table close square brackets$

MathematicsGrade9

Grade9

Mathematics

Find the scale factor.

MathematicsGrade9

Grade9

Mathematics

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement.

MathematicsGrade9

Grade9

Mathematics

Describe the type of composition of transformation

MathematicsGrade9

Grade9

Mathematics

Describe the type of composition of transformation

The graphs can be translated or moved about the xy-plane. They can also be stretched, or a combination of these transformations.

Describe the type of composition of transformation

MathematicsGrade9

The graphs can be translated or moved about the xy-plane. They can also be stretched, or a combination of these transformations.

Grade9

Mathematics

Describe the type of composition of transformation

The graphs can be translated or moved about the xy-plane. They can also be stretched, or a combination of these transformations.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

The vertices of $triangle$ LMN are L(-3, 6), M(0, 3), and N(-6, 0). Use scalar multiplication to find the image of $triangle$ LMN after a dilation with its center at the origin and a scale factor of $1 third$ . Find the coordinates of the image.

$[\begin{matrix} 1 & 0 & - 2 \\ 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & 2 \\ 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & - 2 \\ - 2 & 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 & - 2 \\ 2 & 1 & 0 \end{matrix}]$

Find out the co-ordinates of the image of the triangle by the multiplication of scale factor with matrix of the coordinates of the given triangle.

The correct answer is: $open square brackets table row cell negative 1 end cell 0 cell negative 2 end cell row 2 1 0 end table close square brackets$

Related Questions to study

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

Find the value of m.

Find the value of m.

Simplify the product
$negative 3 open square brackets table row cell negative 4 end cell 1 0 row 9 cell negative 5 end cell cell negative 7 end cell end table close square brackets$

Simplify the product
$negative 3 open square brackets table row cell negative 4 end cell 1 0 row 9 cell negative 5 end cell cell negative 7 end cell end table close square brackets$

Find the scale factor.

Find the scale factor.

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement.

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement.

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

The vertices of LMN are L(-3, 6), M(0, 3), and N(-6, 0). Use scalar multiplication to find the image of LMN after a dilation with its center at the origin and a scale factor of . Find the coordinates of the image.

Find out the co-ordinates of the image of the triangle by the multiplication of scale factor with matrix of the coordinates of the given triangle.

The correct answer is:

Related Questions to study

The vertices of ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

The vertices of ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

Find the value of m.

Find the value of m.

Simplify the product

Simplify the product

Find the scale factor.

Find the scale factor.

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement.

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement.

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

Describe the type of composition of transformation

The vertices of $triangle$ LMN are L(-3, 6), M(0, 3), and N(-6, 0). Use scalar multiplication to find the image of $triangle$ LMN after a dilation with its center at the origin and a scale factor of $1 third$ . Find the coordinates of the image.

The correct answer is: $open square brackets table row cell negative 1 end cell 0 cell negative 2 end cell row 2 1 0 end table close square brackets$

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

The vertices of $triangle$ ABC are A(2, 1), B(4, 3), and C(6, 1). Use scalar multiplication to find the image of $triangle$ ABC after a dilation with its center at the origin and a scale factor of 2. Find the coordinates of the image.

Simplify the product
$negative 3 open square brackets table row cell negative 4 end cell 1 0 row 9 cell negative 5 end cell cell negative 7 end cell end table close square brackets$

Simplify the product
$negative 3 open square brackets table row cell negative 4 end cell 1 0 row 9 cell negative 5 end cell cell negative 7 end cell end table close square brackets$