About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Similar Polygons: Definition, Examples, and Applications

Grade 11 Math: Master Advanced Concepts & Skills

FM20.1

auto-gen

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Frequency distribution and histograms

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Frequency polygons

Census and bias

Census and Bias

Classifying Bias

Shapes of distributions

FM20.2

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

FM20.3

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

FM20.4

Classifying triangles

Isosceles and equilateral triangles

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

FM20.5

Introduction to bearings

Bearings and direction word problems

Bearings and Direction Word Problems

Angle of elevation and depression

Law of sines

Ambiguous case: SSA triangles

Law of cosines

Applications of the sine law and cosine law

FM20.6

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Measures of relative standing - z-score, quartiles, percentiles

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

FM20.7

Point estimates

Confidence levels and critical values

Margin of error

Margin of Error

Making a confidence interval

Chi-Squared confidence intervals

Chi-Squared Confidence Intervals

Confidence intervals to estimate population mean

Student's t-distribution

Student"s t-distribution

Determining a Confidence Interval for a Population Mean using t-distributions

FM20.8

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Graphing systems of linear inequalities

Applications of inequalities

FM20.9

Characteristics of quadratic functions

Transformations of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Converting general form into vertex form by applying the vertex formula

Vertex Formula Application

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

Quadratic function in vertex form: y = a(x-p)^2 + q

<p>Aligned with your class and textbook, our comprehensive Grade 11 math help covers all topics that you would expect in any typical grade 11 math classes, whether it&apos;s <a href="http://www.edu.gov.on.ca/eng/curriculum/secondary/grade11.html">Ontario math curriculum</a>, <a href="https://curriculum.gov.bc.ca/curriculum/10-12#m">B.C.</a>, <a href="https://education.alberta.ca/mathematics-10-12/programs-of-study/">Alberta</a>, <a href="http://www.edu.gov.mb.ca/k12/cur/math/framework_9-12/index.html">Manitoba</a>, <a href="https://www.curriculum.gov.sk.ca/webapps/moe-curriculum-BBLEARN/index.jsp?lang=en&subj=mathematics&level=precalc20">Saskatchewan</a>, <a href="http://www.ed.gov.nl.ca/edu/k12/curriculum/guides/mathematics/">Newfoundland</a>, or other provinces.</p>

<p>Our video lessons walk you through all topics in trigonometry like Unit circle, Factoring trinomials, Radicals, Rational expressions, Quadratic equations, Sequences and series, and so many more. Learn the concepts with our tutorials that show you step-by-step solutions to even the hardest math problems. Then, reinforce your understanding with tons of grade 11 math practice.</p>

<p>All our lessons are taught by experienced Grade 11 Math teachers. Let&apos;s finish your homework in no time, and ACE that final.</p>

Foundations of Mathematics 20

Mathematics as a Human Endeavour

math

<h2>Is grade 11 math hard?</h2>
<p>Grade 11 math can be a struggle and will definitely put your math skills to the test. This can make it seem like grade 11 math is hard and overwhelming. But fear not &ndash; here at StudyPug we&apos;ve made sure to address all your questions and concerns! From topics such as quadratic functions to Sigma notation, down to unraveling the Vertex formula, (and even more!) we&apos;re here to provide you help with grade 11 math. Our carefully crafted Grade 11 math tutorials are well suited for all &ndash; so whether you are a student that requires a refresher on fundamentals or a keener looking to get ahead of the game, we have content covering Grade 11 math for dummies as well as more advanced, challenging content. Regardless of the level of difficulty, we&apos;re here to help you every step of the way with step-by-step examples and lots of practice questions. Grade 11 Math does not have to be hard folks! With help from our review lessons and methodical-disciplined practice, you&apos;ll find yourself powering through the difficult questions with ease and confidence in no time!</p>

<h2>How to prepare for grade 11 math?</h2>
<p>Feeling unprepared for another year of math? Unsure about how and where to get started with grade 11 math? StudyPug has all the tools and resources for you to get you prepared and equipped for grade 11 math!</p>
<p>Understanding grade 11 math will take time and that can be difficult if you only see your tutor once a week or feel like you need a refresher on topics previously covered in class. Here at StudyPug our Grade 11 math tutors and all of our content are readily at your disposal whenever you need them. With 24/7 help and 1000&apos;s of lessons at your fingertips, we are here to help you exercise your understanding of grade 11 math topics and prepare for your upcoming Grade 11 math test and/or Grade 11 math exam preparation. Still feeling like you need more support and background information on some of the topics covered in grade 11 math? Some of the topics you are learning in Grade 11 math (e.g. Quadratic relations, completing the square) we started introducing in <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math</a>. <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math</a> is a prerequisite course for Grade 11 math and we strongly recommend a strong command of the knowledge and skills learned in Grade 10 to help you succeed in Grade 11 math. Head over to our <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math page</a> to begin your revision now!</p>

<h2>How do I use StudyPug to study Grade 11 Math?</h2>
<p>Our intention for StudyPug was to create a 24/7, online companion to meet all your Grade 11 math tutoring needs. We&apos;ve carefully designed our website to be intuitive and easy to navigate but we&apos;ve also included this section for those of you that are visiting or trying us out for the first time. Keep in mind that if you are a student that is still unsure about whether StudyPug is for you, you can still sample our product/service by beginning with the free lessons that are accessible immediately without hassle.</p>
<p>As a general guideline, before jumping into any of our topics in grade 11 math, we recommend starting with assessing your prior knowledge. This is simply done by reviewing your familiarity with concepts we believe you should have a relatively strong command of. Almost all of our topics begin with an outline on the basic concepts you should know as well as other related, pertinent concepts.</p>
<p>If you know exactly what you are looking for, we recommend jumping straight to using our search engine tool. Use this to hone in on the concepts, topics, or questions you are finding the most difficult. Remember; don&apos;t be afraid if you feel like you need to begin with some of the rudimentary foundations you covered previously in grade 10 math or elsewhere.</p>
<p>Once you have identified the topic you require more work on, our short but informative video lessons wills walk you through examples (from easy to complex problems) to flesh out the concepts you need to learn as well as study tips and strategies. Watch and re-watch these lessons as many times as you need! We also provide a paraphrased transcript on the gist of what was addressed in the video if you prefer to learn and revise this way instead.</p>
<p>Last but certainly not the least of these steps, we encourage you to put your knowledge and skills to the test! We&apos;ve prepared plenty of questions per topic for you to master and perfect! See how well you have learnt and acquire more practice from a wide variety and range (i.e. easy to hard) of questions.</p>
<p>Looking for a more entertaining read and method to learn some grade 11 math? <a href="https://www.studypug.com/blog/beauty-and-the-beast/">Swing by our blog to learn about the fibonacci sequence and Kim Kardashian!</a></p>

<h2>How to pass 11th grade math?</h2>
<p>Preparing for a grade 11 Math test or exam? You&apos;ve come to right place! Our home page <a href='[[region_textbook.html|{"textbook_key":"grade11"}]]'>https://www.studypug.com/ca/grade11</a> has everything you need to learn Grade 11 Math. Here at StudyPug we exist to help you achieve your academic goals. So whether you are gearing up for a chapter test on the unit circle or require a quick overview of several topics for your big final exam, we want to make sure you are feeling confident in tackling all your assessments.</p>
<p>At StudyPug we provide numerous Grade 11 math lessons spanning multiple provincial, and international curriculums. We also build content around several renowned textbooks, so we&apos;re well on our way to helping you focus on the numerous topics and types of questions you may be struggling with in 11th grade math.</p>
<p>Remember this &ndash; learning and preparing to pass 11th grade math will not happen overnight! So do not fret if you are finding certain chapters or problems more challenging than others. The key is to first ensure a strong grasp of the underlying concepts and then get into the habit of exercising your knowledge through practice. With over 290 unique practice questions in total for 11th grade math, we readily supplement your classroom learning with the objective of not to merely pass 11th grade math, but to also obtain excellent grades while in the process. Our inventory of practice questions is available to you immediately and should make easy practice out of 11th grade math questions.</p>

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade11math.png

Intro

<p>- Hi. Welcome to this question right here. So we're here to find the perimeter, which is all the sides added up together, of the smaller quadrilateral right here. Okay? So it seems like we&apos;ve got a big one and a small one. Now, I guess it's by assuming they are similar to each other, or else we cannot do this question. So we know the big quadrilateral on the outside is 25.2, 21, 44.1, 33.6. We're looking for this number, this number and that number right there in order to calculate the total perimeter, right? So far we're given. . .the information we have is the 25.2 and the 16.8 here. They are the similar sides of the two figures, right? So figuring out the ratio is the first thing you have to do. So the ratio is take the bigger one, 25.2, divided by the smaller one, 16.8, and let's see what we&apos;ve got. 25.2 divided by 16.8, we have a 1.5, which is a good number. I like that. Okay? So the ratio is one and a half. So it means the bigger one is one and a half times bigger than the smaller one. So how do we figure out the rest of the information? We're just going to do it one at a time. So what happens is this is the big one, right? That is the smaller one. So you can actually just say that 33.6 divided by the smaller one is equal to 1.5. Okay?<br />
For this missing side right there. So all we have to do is just crisscross these two guys. So mathematically to figure out the answer is actually just 33.6 divided by 1.5. So let me work that out for you right here. So 33.6 divided by 1.5 will give you this missing box, which is 33.5 divided by 1.5. We have 22.33. Okay? 22.33 repeating. So what happens is we're going to go ahead and do the same thing to every single side. Okay? So for the next one right there, we're going to follow the same math. 44.1 divided by 1.5. Okay. Sorry about my writing right there. Let's put 1.5 one more time. So 44.1 divided by 1.5, we&apos;ve got ourselves 29.4. So this is my 29.4 right there. Okay? So I'm going to write down 29.4 on this side. And finally you come down to the last one, the last person right there. It's the 21 divided by 1.5 again. So we&apos;ve got 21 divided by 1.5. It's just 14. How nice. We&apos;ve got a nice number finally. So this one here turns out to be a 14. So to get the total perimeter, guess what? It's just the 16.8, plus the 22.33, plus the 29.4 and finally the 14 at the very last. Okay?<br />
So 16.8 plus the 22.333 plus the 29.4 and the 14 at the very end. We&apos;ve got ourselves 82.53. Okay? 82.53. And that is your final answer. If you add up all of the sides of the smaller quadrilateral, that is the perimeter. Thanks for watching.</p>


In this lesson, we will learn how to determine whether a pair of polygons is similar to each other. Once we know that the polygons are similar, we can calculate unknowns such as, side lengths, scale factors, and surface areas.

Understanding similar polygons