Enlargement with a negative scale factor

Centre of Enlargement | Shape | Fraction (Mathematics)

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.Enlargement is when a shape is larger by a corresponding length to the original shape by a specific scale factor.Fractional Scale Factor - Displaying top 8 worksheets found for this concept.Note: here we call it resizing, but other people call it dilation, contraction, compression, enlargement or even expansion.GCSE mathematics enlargement by a negative scale factor questions appear on many exam papers and you can download the questions here.This is a complete lesson on enlargements with negative scale factor that looks at how to enlarge a shape using a negative number as the scale factor.An enlargement requires a centre of enlargement and a scale factor.

Negative Scale Factor Assessment for 9th - 12th Grade

A negative scale factor is a scale factor but it makes the enlargement appear opposite to the original shape and also upside down, I will include an example.The original dimensions of the flag (260 cm x 400 cm) could easily be reduced to a scale factor of 1:10 (the new flag would be 1/10 the size of the original flag 26 cm x 40 cm) although would not fit onto one A4 page.As learning progresses they are challenged to consider more complex transformations such as fractional scale factor enlargements.

The diagram shows an enlargement, centre O with a scale factor of 2.Change the centre of enlargement, the enlargement scale factor, or the shape itself to further challenge your students Video Tutorials The following video takes you through, step-by-step, some of the ways you can use Autograph to look at the topic of enlargements.Scale factors, negative and fractional scale factors, centre of enlargement and anything else.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).

Geometry Resizing - Math is Fun - Maths Resources

The scale factor is the ratio of distances between equivalent points on two geometrically similar shapes. scale factor is the number you multiply the original lengths by to get the lengths on the model.A dilation is an enlargement if and only if the scale factor is greater than 1 or less than -1.Top GCSE Maths - Channel Subscribe Subscribed Unsubscribe 19.The scale factor of enlargement is the number that all the original lengths are multiplied by to produce the image.

The main things to remember when working with these types of questions are.

GCSE Maths Revision Enlargement Negative Scale Factors A GCSE Maths Worksheet covering scale factors and focusing on negative enlargements.The scale factor for an enlargement tells how much an object has been enlarged by.So, if the scale factor is three, then the dimensions of the new shape will be three times larger than that of the original.

A negative scale factor means the object and the image are on opposite sides of the centre of enlargement.Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance.You take the absolute value, just because sometimes you swap these vectors you might get a negative sign, so you take the absolute value.

enlargement | mho maths

Full lesson on Promethean software, for teaching enlargement with a negative scale factor, including:-differentiated learning objectives-key words-slides containing examples for use when teaching the content.

If you begin with the smaller figure, your scale factor will be less than one.Students learn how to perform and describe enlargements on a grid using a centre and scale factor.Algebraic Fractions Simultaneous Equations with a Quadratic.

Autograph Newsletter 10 - Enlargement - Mr Barton Maths Blog

Similar triangle XYZ has a scale factor of 2 compared to triangle ABC.In this case, negative scale factors can be given, in which case the new distance is measured in the opposite direction from the centre of enlargement.An enlargement is a transformation that produces an image that is the same shape as the original, but is a different size.