Similar Triangles (Geometry Curriculum - Unit 6) | All Things Algebra®
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This Similar Triangles Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:
• Ratio and Proportion: Includes extended ratio problems.
• Similar Figures: Identifying scale factors, and solving problems with similar figures using scale factors and proportions
• Proving Triangles Similar: Angle-Angle, Side-Side-Side, and Side-Angle-Side Similarity.
• Direct Similar Triangle Proofs
• Parallel Lines and Proportional Parts
• Parts of Similar Triangles: Altitudes, Angle Bisectors, and Medians
• Triangle Angle Bisector Theorem
ADDITIONAL COMPONENTS INCLUDED:
(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice. Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.
(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
This resource is included in the following bundle(s):
Geometry First Semester Notes Bundle
Geometry Curriculum
Geometry Curriculum (with Activities)
More Geometry Units:
Unit 1 – Geometry Basics
Unit 2 – Logic and Proof
Unit 3 – Parallel and Perpendicular Lines
Unit 4 – Congruent Triangles
Unit 5 – Relationships in Triangles
Unit 7 – Right Triangles and Trigonometry Unit 8 – Polygons and Quadrilaterals
Unit 9 – Transformations
Unit 10 – Circles
Unit 11 – Volume and Surface Area Unit 12 – Probability
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
© All Things Algebra (Gina Wilson), 2012-present
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8th - 9th , similar triangles, 9th - 12th , proportion word problems, 4th - 8th , similar shapes, 7th - 9th , proving triangles similar & similar tria..., 9th - 10th .
Unit 6 Similar Triangles
9th - 10th grade, mathematics.
23 questions
Introducing new Paper mode
No student devices needed. Know more
- 4. Multiple Choice Edit 3 minutes 1 pt If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts? **hint: draw it out** 41.7 ft 36.6 ft 34.6 ft 38.8 ft
- 11. Multiple Choice Edit 30 seconds 1 pt The ratio of 3 angles of a triangle are 4:5:6. Find the measure of the smallest angle. 12 48 60 72
- 14. Multiple Choice Edit 3 minutes 1 pt A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building? 9 m 15.2 m 12 m 17.5 m
- 23. Multiple Choice Edit 1 minute 1 pt Two shapes that are congruent are also similar False True
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All Things Algebra®
Geometry Unit 6: Similar Triangles
This unit includes 48 pages of guided notes, homework assignments, two quizzes, a study guide, and a unit test that cover the topics listed in the description below.
- Description
- Additional Information
- What Educators Are Saying
This unit contains the following topics:
• Ratio and Proportion: Includes extended ratio problems. • Similar Figures: Identifying scale factors, and solving problems with similar figures using scale factors and proportions • Proving Triangles Similar: Angle-Angle, Side-Side-Side, and Side-Angle-Side Similarity. • Direct Similar Triangle Proofs • Parallel Lines and Proportional Parts • Parts of Similar Triangles: Altitudes, Angle Bisectors, and Medians • Triangle Angle Bisector Theorem
This unit does not contain activities.
This is the guided notes, homework assignments, quizzes, study guide, and unit test only. For suggested activities to go with this unit, check out the ATA Activity Alignment Guides .
This resource is included in the following bundle(s):
Geometry Curriculum Geometry Curriculum (with Activities)
License Terms:
This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. A t ransferable license is not available for this resource.
Copyright Terms:
No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
What standards is this curriculum aligned to?
What format are the files in, will i have access to materials if they are updated, are answer keys included, are videos included.
Best Geometry curriculum ever! So very well put together. My student loved it and says she only wants to use resources from this vendor for her math classes.
I always look at All Things Algebra first when I need additional practice or supportive resources for my students. These products are so well organized, thorough, and can be used in a variety of ways. I truly appreciate this work!
Absolutely love how these units are organized and laid out. I wish I could afford to buy them all at once, but buying them one at a time works for my monthly budget. My students appreciate how thorough the notes are and how the examples match throughout the unit.
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Geometry Unit 4: Congruent Triangles
Geometry Unit 3: Parallel & Perpendicular Lines
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Question: Unit 6: similat triangles Homework: Parts of similar triangles can you please all problems both pages
Unit 6: similat triangles Homework: Parts of similar triangles can you please all problems both pages
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Geometry Unit 6: Similar Figures
Similar figures are the topic of Geometry Unit 6. Each of the four resources in the unit module contains a video, teacher reference, practice packets, solutions, and corrective assignments. In the first lesson, pupils learn the definition of similar figures and their corresponding angles and sides. Using the definition, individuals calculate the lengths of missing sides and practice using the definition to find missing lengths, determine the scale factor between similar figures, and create and solve equations based on lengths of corresponding sides. Scholars then learn three different methods to show two similar triangles: Angle-Angle, Side-Side-Side, and Side-Angle-Side. They practice applying these methods to determine whether two given triangles are similar and then apply the methods to determine missing sides in triangles. Appling perspective to similarity, young mathematicians learn about the Side Splitter Theorem by looking at perspective drawings and using the theorem and its corollary to find missing lengths in figures. They also practice using the theorem and corollary on their own, applying them to coordinate geometry. After a short review of the material from the Similar Figures Unit, pupils work through 18 problems to further practice the skills from the unit. Scholars apply those skills in the application problems at the end of the review.
Common Core
Similar Figures
Similar Figures (.html)
Practice packet (.pdf), practice solutions (.pdf), corrective assignment (.pdf).
Prove Triangles Similar
Prove triangles similar (.html).
Side Splitter Theorem
Side splitter theorem (.html).
Unit 6 Review: Similar Figures
Unit 6 review: similar figures (.html), unit 6 algebra review, unit 6 review packet (.pdf).
Wilson Honors Pre-Calculus and Trigonometry: Unit 6 Similarity
- Unit 1: Functions and their graphs
- Unit 4: Trigonometry
- Unit 4B Graphing Trig Functions
- Unit 5: Trig Identities
- Unit 6: Law of Sines and Cosines
- Unit 2: Polynomials
- Unit 3: Exponentials and Logarithms
- Unit 8 Matrices
Unit 6 Similar Figures
- Practice Problems for Similarity Look at the activities under similarity. (P.1- P.11)
7-1: ratios and proportions
- 7-1 notes and stations activity Today we took notes over section 7-1 then completed the stations with a partner
p. 436 # 4, 6, 14, 15, 18, 40, 44, 47
- 7-2 similar polygons
guided practice: p. 444 #9, 12, 13, 15, 17
assignment: p. 444 # 10, 18, 20, 23, 32, 38; p. 435 #16, 32
7-3 Proving Triangles Similar
- 7-3 similar triangles
guided practice p. 455 # 9 - 13
assignment p. 455 # 6, 14, 16, 24; p. 444 # 25, 35, 42, 58 - 61
Computer Lab Day!!
- Online worksheet! Click here! Open the worksheet. Do not print. Answer all questions on separate paper.
- Quiz Please show work and answers on the same sheet you completed your online activities on. Thanks!
7-4 Right Triangle Similarity Notes
Page 464: 13, 20, 22, 25, 40
Page 455: 15, 26
Page 444: 24
Page 435: 45
7-5 triangle proportions
- 7-5 triangle proportion notes
- Last Updated: Apr 30, 2019 1:44 PM
- URL: https://libguides.ops.org/WilsonHPC
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COMMENTS
Using the triangle similarity theorems, the given pairs of triangles can be proven to be similar:. 1. are similar by the SSS similarity theorem. 2. are similar by the AA similarity theorem.. 3. are similar by SAS similarity theorem.. 4. are similar by the AA similarity theorem.. 5. are similar by the SAS similarity theorem.. 6. are similar by the SSS similarity theorem.
14 Qs. 20 Qs. Unit 6 - HW 3 - Similar Triangle Theorems quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!
om. ementary angles is 3:7. Find the measures of both angles.7. e ratio of the measures of the angles. in. triangle is 4:7:9. Find the measures o. angles.6. The ratio of two. up. ementary angles is 4:1. Find the measures of both angles.8. T. e ratio of the measures of the angles in a.
Geometry questions and answers; Name: Unit 6: Similar Triangles Date: Bell: Homework 3: Proving Triangles Similar ** This is a 2-page document! ** Directions: Determine whether the triangles are congruent by AA, SSS, SAS, or not similar. 1. 2. 55 17/ 25 4. 45 29 105 28 5. 0 49 64 7. 8. no! 3 D 9. 10. 72 15 28 20 22 21 2 ciri2014 11. 42 is
Geometry Unit 6 - Similar Triangles Study Guide KEY. S SS Similar By: LADE Similar By: Topic 4: Parallel Lines & Proportional Parts Diæöons: Sotve for x. - 6Qo Similar By: AA Similar By: SAS N X+5 _ 5 x + J 36 X + 115 : 15'x+S 2.x-2 Gina Wilson {Al Thinø Alee". 2014. Title. Geometry Unit 6 - Similar Triangles Study Guide KEY .pdf. Created Date.
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. x=10. Study with Quizlet and memorize flashcards containing terms like Angle-Angle Similarity Postulate (AA~), Side-Angle-Side Similarity (SAS~) Theorem, Side-Side Side Similarity Theorem (SSS~) and more.
congruent. When triangles are similar, the angles are... proportional. When triangles are similar, the sides are.... similar (symbol) ~. proportion. An equation stating that two ratios are equal to each other. Study with Quizlet and memorize flashcards containing terms like AA similarity, SSS similarity, SAS similarity and more.
1,618 solutions. Terms in this set (19) Similar Figures. 1) All corresponding angles are congruent2) All corresponding sides are proportional3) Same shape, but not the same size. 4) result of a dilation. Dilation. A transformation that changes the size of an object, but not the shape. Similarity Ratio. *The ratio of two corresponding sides of a ...
Unit 6: Similar Triangle Notes Date: Period: (1) Worksheet 8.1 and 8.2 Odds (2) Page 376 #15, 18, 30 - 36, 40 AND Page 382 - 383 #8, 10, 12 - 16, 21 ... Geometry Notes 8.6 Proportions in Similar Triangles Theorem 8.4 Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it ...
Questions & Answers. This Similar Triangles Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:• Ratio and Proportion: Includes extended ratio problems.•. Similar Figures: Identifying scale factors, and solving problems with similar figures ...
State the postulate that proves these triangles are similar. 3. Multiple Choice. If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts? Determine whether the triangles are similar or not. If so, state how they are similar. To find the height of a very tall pine tree, you place a mirror on ...
This unit contains the following topics: • Ratio and Proportion: Includes extended ratio problems. • Similar Figures: Identifying scale factors, and solving problems with similar figures using scale factors and proportions. • Proving Triangles Similar: Angle-Angle, Side-Side-Side, and Side-Angle-Side Similarity. • Direct Similar ...
Triangles are similar if they have two congruent angles or two sides of one are proportional to two sides of the other and the included angle are equal.. Correct responses:. 9. ΔSUT ~ ΔWUV by AA similarity postulate. 10. ΔKDH ~ ΔABD by SAS similarity. 11. ΔKJL and ΔGJH are not similar. 12. ΔSRT ~ ΔPRQ by SAS similarity 13. ΔAEB ~ ΔCED are similar by SAS similarity
Question: Name: Unit 6: Similar Triangles Date: Belli Homework 3: Proving Triangles similar ** This is a 2-page documenti Directions: Determine whether the triangles are congruent by At SSS, SAS, O no similar 72 ♡ 10. There are 3 steps to solve this one.
Solution. ** This is a 2-page document! ** rections: Given each pair of similar triangles, find the missing value. If AABD - AHGE and AC and HF are angle 2. If ALIK - APQN, find x. bisectors, find x. N 42.9 B G e 30 1 39 17 P 24 A 35 E H 14 4 2.5 9.60 X-33 3.
If two triangles are similar, then their altitudes, angle bisectors, and medians are also proportional to the corresponding sides. An angle bisector in a triangle separates the opposite sides into two segments that are proportional to the lengths of the other two sides. Study with Quizlet and memorize flashcards containing terms like Ratio ...
Since the specific details of the triangles in question are not provided, I cannot give a final answer. To solve your question, you would need to follow the steps outlined above, using the actual measurements and angles from your specific problem. If you provide the details of the triangles, I would be able to assist you further
Collector: Ann V. Reviewed by Lesson Planet. Similar figures are the topic of Geometry Unit 6. Each of the four resources in the unit module contains a video, teacher reference, practice packets, solutions, and corrective assignments. In the first lesson, pupils learn the definition of similar figures and their corresponding angles and sides.
Unit 6 Similar Figures. Practice Problems for Similarity. Look at the activities under similarity. ... 7-3 Proving Triangles Similar. 7-3 similar triangles. guided practice p. 455 # 9 - 13. ... Do not print. Answer all questions on separate paper. Quiz. Please show work and answers on the same sheet you completed your online activities on ...
two sides are proportional and included (inside) angle is congruent, then the two triangles are similar. 1. Find two corresponding sides that have numerical values. 2. Find scale factor. 3. Set scale factor = corresponding sides with variable. 4. Solve for variable.
Click here 👆 to get an answer to your question ️ Gina Wilson (All Things Algebra), 2014 Unit 6: similar triangles homework 3: proving triangles similar answe ... Final answer: To prove triangles are similar, one can use AA, SSS, or SAS similarity criteria. Corresponding sides of similar triangles have proportional lengths, and this ...
Verified answer. Unit 6 homework 3 proving triangles similar Gina Wilon All Things Algebra). 2014 Any help at all would be useful. star. 4.4 /5. heart. 98. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48.