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Master Enlargement and Reduction Scale Factors in Geometry

Grade 12 Math: Master Advanced Concepts & Skills

Geometric constructions

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Classifying triangles

Isosceles and equilateral triangles

Conics - Parabola

Conics - Circle

Conics - Ellipse

Conics - Hyperbola

Parallel and perpendicular lines

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Circle geometry

Angles in a circle

Circles and circumference

Circle properties

Arcs of a circle

Areas and sectors of circles

Transformations of 2D shapes

Line symmetry

Rotational symmetry and transformations

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Non-Euclidean geometries

Combining transformations of functions

Surface area of 3-dimensional shapes

Transformations of functions: Horizontal translations

Transformations of functions: Vertical translations

Reflection across the y-axis: y = f(-x)

Reflection across the x-axis: y = -f(x)

We&apos;ve got you covered with our complete help for Grade 12 math, whether it&apos;s Ontario curriculum, <a href="https://www.alberta.ca/writing-diploma-exams.aspx">Diploma exam</a> (Alberta), <a href="http://www.edu.gov.mb.ca/k12/assess/tests/index.html">Provincial test</a> (Manitoba) or <a href="https://www.saskatchewan.ca/residents/education-and-learning/departmental-exams">Departmental exam</a> (Saskatchewan).

Aligned with your class or textbook, you will get grade 12 math help on topics like Trigonometric identities, Vectors, Permutations and Combinations, Matrices, Polynomial functions and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 12 math questions. Then, strengthen your understanding with tons of grade 12 math practice. 

All our lessons are taught by experienced Grade 12 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Geometry 12

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade12math.png

Intro

- Hi, welcome to this question right here. So, we're trying to redraw this shape right here, using a scale factor of one-quarter. So, it's gonna get smaller. But, how much smaller? About a quarter smaller, right? 
So, what we're gonna do is, we're gonna figure out the, I guess, how many units you have on the original part first, right? So, if I count it on the middle line right there, that's about 8 boxes in total. And the high here is just gonna be 2 boxes here, and 2 boxes here. And from here to here, it's just going to be 1, 2, 3, 4, looks like a 5, okay? 
Now, we're gonna take this whole...every dimension here and we're gonna divide by 4. So, let's look at the center line first, because it's easier. 8 divided by 4, what do we have? We've got 2. So it's gonna be very small. So I come over to the center line right here. I'm gonna draw a center line and that's gonna be a new shape right there. If I divide this 8 by 4, right? So, I've got 2 right now. Now, it's gonna go from the center down to this one before. Remember, you're multiplying by a quarter, which means you're dividing by four. So, what's 2 divided by 4? It's gonna be a one-half and one-half is 0.5. So from the center line I'm gonna go down 0.5 so, about here I'm gonna stop. Go up 0.5 and I'm going to stop. Because I've got to figure out how much is, how long is here and how long is here. Well, this is 5. From the center of the figure here, this is 5 so, if I take this 5 here and divide by 4, I've got 1.25. And it's like this, a 1.25 is the total length. From here to here is 1.25 so, it's a little bit approximate. It doesn't have to be very exact. So, here's my 1.25. Here's my little 1.25 right there. Let me redraw it a little bit. So, 1.25. So at the end we're just gonna put everything together. And there you go. That is your new drawing. If you times it by a one-quarter? Kind of look small but, there's nothing else we can do. Divide everything by 4, that's what you get. Thanks for watching.

When you are asked to make an object bigger or smaller, you will ask, "by how much?" In this case, scale factor can help answer the question. In this lesson, we will practice how to enlarge and reduce objects according to the scale factors given to us.

What is a scale factor?

Ratios

Rates

Proportions