What is the formula for enlargement?
Enlargement using lengths New length = original length × scale factor. A triangle of base 3 m and height 2 m is enlarged using a scale factor 5.
What does Centre mean in enlargement?
Enlarging a shape changes its size. To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.
How is a dilation different from other transformations?
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. If the scale factor is 1, the figure and the image are congruent.
Which is an example of an enlargement in maths?
All the sides of the triangle X’Y’Z’ are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2. Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape. To enlarge a shape, a centre of enlargement is required.
How is an enlargement an example of a transformation?
Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape. To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.
How to calculate the enlargement of a triangle?
Enlarge the triangle PQR by a scale factor of 3 about the centre of enlargement O. First draw ray lines from O to each corner of the triangle and extend them. Next measure the distance from O to each corner of PQR. Multiply this distance by 3 and plot the points P’ Q’ and R’.
Where does the enlargement of an image take place?
The centre of enlargement may be outside an object, or it may be inside a shape, on an edge or at a corner. The image may overlap the shape or one may be inside the other. First draw ray lines from O to each corner of the triangle and extend them.
How do you enlarge a shape in math?
Enlarging a shape means to change its size. To enlarge a shape, multiply all lengths of the shape by the scale factor. The scale factor tells us how many times larger the shape will be. For example, enlarging a shape by scale factor 2 means that all of the sides will become 2 times longer.
What is the formula of scale factor?
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
How do you describe enlargement in math?
Enlarging a shape changes its size. A transformation is a way of changing the size or position of a shape. To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.
How do you do an enlargement GCSE?
Example
- Enlarge the triangle ABC by a scale factor of 2 about the centre of enlargement O.
- First, draw ray lines from O to each corner of the triangle and extend them.
- Next, measure the distance from O to each corner of ABC.
- Finally, join up the points A’ B’ C’
How do you find the scale factor of a dilation?
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
How to calculate the scale of an enlargement?
Divide the distance by two and plot the points E’ F’ G’ and H’ on the other side of the centre of enlargement. Finally, join up the points E’ F’ G’ and H’ An enlargement by a scale factor of -1 is the same as a rotation of 180°.
How to write a syllabus for GCSE Maths?
Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries Use the standard conventions for labelling and referring to the sides and angles of triangles Draw diagrams from written description