Enlargement using negative scale factor

Great for teachers, homeschoolers, parents, and students.Includes 2 math lessons, 2 practice sheets, a homework sheet, and a quiz.An enlargement using a negative scale factor is similar to an enlargement using a positive scale factor, but this time the image is on the other side of the center of enlargement, and it is upside down.

3.Scale Factor - Mrs. Bramall

An enlargement is a transformation that produces an image that is the same shape as the original, but is a different size.

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.Enlargements using a positive and negative scale factor Finding the centre of enlargement.The line PQ is the image of the line BA. (a) Write down the scale factor of the enlargement.When we make things bigger using dilation we refer to that as an expansion or enlargement whereas if we use a dilation to make something smaller we use the term contraction or reduction.

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An enlargement is a type of transformation that produces an image that could be bigger or smaller than the original but will retain the same side length ratio.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).

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Students learn how to perform enlargements for negative scale factors.

The scale factor of enlargement is the number that all the original lengths are multiplied by to produce the image.Scale Factor 2 If the scale factor is between 0 and 1, the image is a reduction (a shrink).

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Watch the image invert as it travels through the center of enlargement into negative enlargement, and follow the.

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Geogebra is used to demonstrate dynamic transformations of various objects with negative scale factors.

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Because absolute values are always positive, the absolute value of this scale factor is positive 2, causing our image to be twice as large as the pre-image.For example, if the length of a shape is 2x the length of the original shape, it has an enlarged scale factor of 2.Students will also be given two similar cages, and must find the scale factor between the two.SUCCESS CRITERIA Identify centre of enlargement Identify scale factor Enlargement greater than 1 Enlargement less than 1 Enlargements that are negative.

Identify and construct enlargements including using negative scale factors. Grade 5. If you have any questions regarding these resources or come across any errors, please contact.View, download and print Edexcel Gcse Mathematics (linear) - Enlargement: Negative Scale Factor pdf template or form online. 90 Gcse Maths Worksheet Templates are collected for any of your needs.Since this scale factor is negative, our image will be a 180-degree rotation of the pre-image.The shape will also change size depending on the value of the enlargement.

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Just follow these steps and you’ll be OK at Enlargements

GCSE Maths Revision Enlargement Negative Scale Factors A GCSE Maths Worksheet covering scale factors and focusing on negative enlargements.Use the coordinate grid to solve problems involving translations, rotations, reflections and enlargements.

Geogebra Transformations Worksheet 2 Enlargement

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Enlargement-how to enlarge a shape by negative scale factor up vote 1 down vote favorite The diagram shows a shaded shape.Corbettmaths - This video shows how to enlarge shapes with a negative scale factor.Make markings on both triangles to indicate all corresponding sides and angles.The first number is called the ratio of magnification or dilation factor or scale factor or similitude ratio.

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Edexcel Gcse Mathematics (linear) - Enlargement: Negative

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What happens to an enlarged image when the scale factor of enlargement is greater than one.

For each of the following, find the centre of enlargement, scale factor and label the image.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.