How to Find Similarity and Ratios? (+FREE Worksheet!)
Two figures are similar if they have the same shape. Learn how to use ratios and proportions to solve similarity problems in a few simple steps.
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{{url}}/?ajax-add-to-cart={{id}}" product-item-button-custom-url-if-not-salable="{{productUrl}} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
Watch this practice video for additional examples and reinforcement:
Related Topics
Step by step guide to solve similarity and ratios problems
- Two or more figures are similar if the corresponding angles are equal, and the corresponding sides are in proportion.
- To solve the similarity problem, you usually need to create a proportion and solve for the unknown side.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Similarity and Ratios – Example 1:
A girl \(180\) \(cm\) tall, stands \(340\) \(cm\) from a lamp post at night. Her shadow from the light is \(90\) \(cm\) long. How high is the lamp post?
For education statistics and research
Write the proportion and solve for the missing side.
\(\frac{Smaller \ triangle \ height}{Smaller \ triangle \ base} = \frac{Bigger \ triangle \ height}{Bigger \ triangle \ base}\)
\(⇒ \frac{180 \ cm}{90 \ cm }= \frac{x} {90 \ + \ 340 \ cm} ⇒=180 \ × \ 430= 90 × \ x ⇒ 77400= 90 \ x ⇒ x=\frac{77400}{90}=860\) \(cm\) For additional educational resources,.
Similarity and Ratios – Example 2:
A tree \(20\) feet tall casts a shadow \(14\) feet long. Jack is \(10\) feet tall. How long is Jack’s shadow? For additional educational resources,.
Solution: For additional educational resources,.
Write a proportion and solve for the missing number.
\(\frac{20}{14}=\frac{10}{x} → 20 × \ x=10 \ × \ 14\)
\(20 \ x=140→x=\frac{140}{20}=7\) For additional educational resources,.
Similarity and Ratios – Example 3:
A tree\(160\) \(cm\) tall, stands \(360\) \(cm\) from a lamp post at night. Its shadow from the light is \(90\) \(cm\) long. How high is the lamp post?
For additional educational resources,.
Solution: For additional educational resources,.
Write the proportion and solve for the missing side.
\(\frac{Smaller \ triangle \ height}{Smaller \ triangle \ base}= \frac{Bigger \ triangle \ height}{Bigger \ triangle \ base}\)
\( ⇒ \frac{160 \ cm}{90 \ cm }= \frac{x} {90+360 \ cm} ⇒160×450= 90 × x ⇒ 72000= 90 \ x ⇒ x=\frac{72000}{90}=800\) \(cm\) For additional educational resources,.
The Best Math Book to Help You Ace the Math Test For additional educational resources,.
Similarity and Ratios – Example 4:
A tree \(32\) feet tall casts a shadow \(12\) feet long. Jack is \(6\) feet tall. How long is Jack’s shadow?
Solution:
Write a proportion and solve for the missing number.
\( \frac{32}{12}=\frac{6}{x} → 32 × x=6×12\)
\(32x=72→x=\frac{72}{32}=2.25\)
Exercises for Finding Similarity and Ratios
Each pair of figures is similar. Find the missing side.
Download Similarity and Ratios Worksheet
Answers
- \(\color{blue}{9}\)
- \(\color{blue}{2}\)
- \(\color{blue}{5}\)
- \(\color{blue}{15}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- Full-Length PSAT 10 Math Practice Test
- How to Multiply and Divide Complex Numbers? (+FREE Worksheet!)
- Getting a Math Degree: Hacks to Make Your Life Easier
- SAT Math-Test Day Tips
- 8th Grade PSSA Math Practice Test Questions
- Overview of the TExES Core Subjects Mathematics Test
- 10 Most Common TABE Math Questions
- Applying Floor And Ceiling Functions: Practical Examples And Solutions
- Measuring Length Change: Definite Integrals in Continuous Growth Analysis
- How to Find Length of a Vector
What people say about "How to Find Similarity and Ratios? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.