Marcus and Sofia are looking at these flags. The flags are not drawn accurately. Sofia says: Flag D is an enlargement of flag A. Explain why Sofia is correct.

For enlargement of the image, the image should be similar to the original object. The image can be similar when the sides of the object and the image are in equal proportion. The height of D is four times the height of A and the base of D is also four times the base of A. Hence D is an enlargement of A with a scale factor of 4 . Therefore, Sofia is correct.

Enlarge the shape using its given scale factor. Scale factor 2

Here, the measurement of the sides of the figure is not mentioned, so let's assume the measurement of the object as 2 units and 3 units . In enlargement, the copy of the object changes the lengths, but in the same proportions. Here, the scale factor to change the enlargement is 2 . Therefore, the measurement of the image will be 4 units and 6 units .

The diagrams shows four rectangles: A, B, C, and D. Write down a rule that connects the ratio of lengths to the ratio of perimeters.

The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and has the same linear units. We know the perimeter of rectangle is equal to the sum of all sides. Where l is length and b is breadth of rectangle. Perimeter of rectangle = 2 l + b Now, Ratio of Length to perimeter = 2 l : 2 l + b The ratio of Lengths to perimeters is l : ( l + b ) Hence, If length increases perimeter will also increase.

The diagrams shows four rectangles: A, B, C, and D. Work out the perimeter of rectangle A.

The length of rectangle A is 2 units and breadth is 1 unit . We know that the perimeter of a rectangle is twice the sum of length and breadth. So, the perimeter of rectangle A = 2 l + b = 2 ( 2 + 1 ) = 2 × 3 = 6 units Hence, the perimeter of rectangle A is 6 units .

m = 3 - 4 and n = - 2 1 draw the vector m on a grid or on squared paper.

A column vector is simply a vector whose components are listed vertically in a single column. For example: x y The top number shows the horizontal movement and bottom number shows the vertical movement. Therefore, m = 3 - 4 is column vector. To represent this vector, start at any point A and move three units right and four down to B . Join the points and indicate the direction using an arrow.

This is a part of Rafael's homework. Question: Enlarge this shape using a scale factor of 3 . Solutions: Rafael has made a mistake. Draw the correct solution.

Given: A part of Rafael's homework. Enlarged this shape using a scale factor of 3 . Rafael has made a mistake while enlarging the shape as below. There are less than 9 square grids in the bottom of the enlarged shape, where the base of original diagram includes 3 square grids. Now to draw the correct solution of enlarged shape. Hence, The correct diagram as shown below.

The diagrams shows four rectangles: A, B, C, and D. Write down the scale factor of the enlargement of rectangles A to C

The length of rectangle A is 2 units and breadth is 1 unit . The length of rectangle C is 6 units and breadth is 3 units . Now we find the ratio of the length of rectangle A and the ratio of the breadth of rectangle C. The ratio of the length of A to C = 2 : 6 = 1 : 3 The ratio of the breadth of A to C = 1 : 3 It means the length of C is thrice of length of A and the breadth of C is thrice of breadth of A. Hence, the scale factor is 3 .

Enlarge the shape using its given scale factor. Scale factor 3

Here the measurement of the sides of the figure is not mentioned, so let's assume the measurement of the object as 1 . 5 units & 2 units . In enlargement, the copy of the object changes the lengths, but in the same proportions. Here, the scale factor to change the enlargement is 3 . Therefore, the measurement of the image will be 4 . 5 units & 6 units .

The diagrams shows four rectangles: A, B, C, and D. Write down the scale factor of the enlargement of rectangles A to B

The length of rectangle A is 2 units and breadth is 1 unit . The length of rectangle B is 4 units and breadth is 2 units . Now we find the ratio of the length of rectangle A and the ratio of the breadth of rectangle B. The ratio of the length of A to B = 2 : 4 = 1 : 2 The ratio of the breadth of A to B = 1 : 2 It means the length of B is twice of length of A and the breadth of B is twice of breadth of A. Hence, the scale factor is 2 .

Enlarge each shape using its given scale factor. Scale factor 3

Here the measurement of the sides of the figure is not mentioned, so let's assume the measurement of the object as 1 unit , 2 units & 3 units . In enlargement, the copy of the object changes the lengths, but in the same proportions. Here, the scale factor to change the enlargement is 3 . Therefore, the measurement of the image will be 3 units , 6 units & 9 units .

Enlarge each shape using its given scale factor. Scale factor 2

Here the measurement of the sides of the figure is not mentioned, so let's assume the measurement of the object as 1 unit , 2 units & 3 units . In enlargement, the copy of the object changes the lengths, but in the same proportions. Here, the scale factor to change the enlargement is 2 . Therefore, the measurement of the image will be 2 units , 4 units & 6 units .

This is a part of Rafael's homework. Question: Enlarge this shape using a scale factor of 3 . Solutions: Rafael has made a mistake. Explain the mistake he has made.

If we look at the figure carefully, Rafael has made the mistake on side B C . As per the question figure P Q R S should increase by 3 scale factor. All the sides of figure A B C D is increased by 3 scale factors but side B C is not increased correctly.

The diagrams shows four rectangles: A, B, C, and D. Write down the scale factor of the enlargement of rectangles A to D

The length of rectangle A is 2 units and breadth is 1 unit . The length of rectangle D is 8 units and breadth is 4 units . Now we find the ratio of the length of rectangle A and the ratio of the breadth of rectangle D. The ratio of the length of A to D = 2 : 8 = 1 : 4 The ratio of the breadth of A to D = 1 : 4 It means the length of D is four times of length of A and the breadth of D is four times of breadth of A. Hence, the scale factor is 4 .

EASY

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The following diagram show two shapes that have been enlarged. Determine the centre of enlargement in each case.

Important Questions on Transformations

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Mathematics>Geometry>Transformations>Enlargement

Marcus and Sofia are looking at these flags. The flags are not drawn accurately.

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Sofia says: Flag D is an enlargement of flag A.

Explain why Sofia is correct.

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Mathematics>Geometry>Transformations>Enlargement

Copy and complete the enlargements. Use a scale factor of $2$ .

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MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Enlarge the shape using its given scale factor.

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Scale factor $2$

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagram shows a shape and its enlargement.

What is the scale factor of the enlargement?

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MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Write down a rule that connects the ratio of lengths to the ratio of perimeters.

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Mathematics>Geometry>Transformations>Enlargement

Copy the shape onto squared paper. Enlarge each shape using its given scale factor.

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Scale factor $4$

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Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Work out the perimeter of rectangle A.

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Mathematics>Geometry>Transformations>Enlargement

$m = (\begin{matrix} 3 \\ - 4 \end{matrix})$ and $n = (\begin{matrix} - 2 \\ 1 \end{matrix})$ draw the vector $m$ on a grid or on squared paper.

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Copy the shape onto squared paper. Enlarge the shape using its given scale factor.

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Scale factor $4$

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

This is a part of Rafael's homework.

Question: Enlarge this shape using a scale factor of $3$ .

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Solutions:

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Rafael has made a mistake. Draw the correct solution.

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Write down the scale factor of the enlargement of rectangles A to C

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Statement: The rule of the ratio of lengths to the ratio of perimeters.

Will this rule work for any scale factor of enlargement?

Will this rule work for any shape. Explain the answers?

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Enlarge the shape using its given scale factor.

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Scale factor $3$

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Write down the scale factor of the enlargement of rectangles A to B

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Enlarge each shape using its given scale factor.

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Scale factor $3$

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Copy and complete these enlargements. Use a scale factor of $2$ .

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EASY

Mathematics>Geometry>Transformations>Enlargement

Cotyledons are also called-

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

Enlarge each shape using its given scale factor.

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Scale factor $2$

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

This is a part of Rafael's homework.

Question: Enlarge this shape using a scale factor of $3$ .

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Solutions:

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Rafael has made a mistake. Explain the mistake he has made.

MEDIUM

Mathematics>Geometry>Transformations>Enlargement

The diagrams shows four rectangles: A, B, C, and D.

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Write down the scale factor of the enlargement of rectangles A to D

The following diagram show two shapes that have been enlarged. Determine the centre of enlargement in each case.

Important Questions on Transformations

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