Enlargement negative fractional scale factor

The top number represents the x axis and the bottom number represents the y axis.GCSE mathematics enlargement by a negative scale factor questions appear on many exam papers and you can download the questions here.In the previous lesson, the scaling factor was greater than 1.

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When a shape is enlarged, the scale factor tells by how much to multiply each length of the original shape to get the corresponding length on the new shape.If -2 is used as a scale factor, say by applying it to a 3-4-5 right triangle, it would have the effect of turning the triangle inside out (mirror image) and stretching it by a factor of 2.

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We already know how to draw an enlargement with a positive whole number scale factor.So, for instance, an enlargement with centre (0,0) and scale factor 3 will move a point at (2,3) to (6,9).

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The Scale Factor is used to calculate where the new points on the enlarged shape are from the centre of enlargement.

Enlarge 2-D shapes, given a centre of enlargement and a positive integer, negative or fractional scale factor, on paper and using ICT.

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The scale factor from the first figure to the second is always the reciprocal of the scale factor from the second figure to the first.

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The main things to remember when working with these types of questions are.There are two revision books you can buy, the revision guide and the revision workbook.

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The booklet consists of a worked example for student notes and to teach students how to enlarge a shape by a given scale factor, find the centre of enlargement and calculate the scale factor.For each of the following, find the centre of enlargement, scale factor and label the image.

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The scale factor of enlargement is the number that all the original lengths are multiplied by to produce the image.However, the scaling factor of a dilation However, the scaling factor of a dilation can be between 0 and 1, and it can be negative, as you will see in the next examples.Show the class a picture in its original size, an enlargement of the picture, and a distortion is to increase both the height and width by the same scale factor.Some problems require change of dimension to enlarge or reduce by whole numbers, fractions, and decimals. Th.If the scale factor is fractional positive, the image will be smaller than the object, but on the same side of the centre of enlargement. If the.If you begin with the smaller figure, your scale factor will be less than one.

The booklet then includes several differentiated enlargement exam questions, including enlarging shapes by a positive, negative and fractional scale factor.The workbook is a nice optional extra if you want questions to practise.The question is based on a series of GCSE enlargement by negative scale factor questions that can be downloaded here: This particular question asks for triangle A to be enlarges by a scale factor of -1.5 through 0 (the centre of origin).

How to enlarge a shape by scale factor - 3 Minute Maths

If the scale factor is positive, the image is larger than the object and on the same side of centre of enlargement as the object as the object.Use the coordinate grid to solve problems involving translations, rotations, reflections and enlargements.Enlarge this shape by a scale factor of -3 about the centre of enlargement (3, 3).

With a negative scale factor the number part of it tells us if the shape is to be made bigger or smaller, while the negative sign tells us that the image and object are on opposite sides of the centre of enlargement.

Enlargement by a negative scale factor - 3 Minute Maths

Three worksheets that give students plenty of chance to practise dilating shapes by positive, negative and fractional scale factors from a point given. 2. Two self-checking activities where students must dilate by diffe.If the scale factor, k, is greater than 1, the image is an enlargement (a stretch).

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The shape will also change size depending on the value of the enlargement.

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What happens to an enlarged image when the scale factor of