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Geometry 7.4 Applying Properties of Similar Triangles Mr. Deyo

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Page 1: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Geometry7.4ApplyingPropertiesofSimilarTriangles

Mr.Deyo

Page 2: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

HomeWorkReview(2problemsmax.)

Page 3: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Studentswillapplypropertiesofsimilartriangles,proportionalityandtriangleanglebisectortheoremstofindsegmentlengths.

Studentswilldemonstratethisbyusingagraphicorganizer,answeringquestions,andsolvingproblems.

Learning Target

Page 4: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Questions on which to ponder and answer: 1.   How are the two pictures similar? 2.   How are they different? 3.   How can these two pictures be related to math?

Page 5: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

1)  Ratio2)  Proportion3)  CrossProduct4)  Scale

Vocabulary 1.  Teachersaystheword.

•  ALLStudentsrepeattheword.

2.  Teachercountsoutsyllablesass/hesaystheword.

•  ALLstudentsrepeatsyllablecountastheysaytheword.

3.  Studentteamscreateaphysicalrepresentationoftheword.

•  ClasschoosesonephysicalrepresentationforALLstudents.

4.  Studentteamscreateafriendlydefinitionfortheword.

•  Classchoosesonefriendlydefinitionfortheword.

Page 6: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

DAY 3 and/or DAY 4 1. Review the word

¨ Friendly Definition ¨ Physical Representation

2. Show how the word works ¨ Synonyms/antonym ¨ Word Problems ¨ Related words/phrases ¨ Example/non-example

Friendly Definition Sketch

Wordwork Sentence

DAY 2 1. Review word

¨ Friendly Definition ¨ Physical Representation

2. Draw a sketch

DAY 5 1. Review the word

¨ Friendly definition ¨ Physical Representation

3. Write a sentence  at least 2 rich words (1 action)  correct spelling  correct punctuation  correct subject/predicate agreement  clear and clean writing

DAY 1 1.   Use Visuals

2.   Introduce the word ¨ Friendly Definition ¨ Physical Representation

3.   Use Cognates

4.   Write friendly definition

5.   Physical Representation

WordList1.  2.  3.  4. 

Page 7: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

3.

2.

4.

1.

Page 8: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

What is the Converse of the Triangle Proportionality Theorem?

Ifalineintersectstwosidesofatriangleanditdividesthosesidesproportionally,thenthatlineisparalleltothethirdsideofthetriangle.

Page 9: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

StormCheckWhatwordsdidyouhearbutnotunderstandinthesedefinitionsandexamples?

ThewordsthatIheardbutdidnotunderstandinthesedefinitionsandexampleswere__________,__________,and_________.

Page 10: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Sidesare__________________?

‐‐‐‐‐‐‐‐=‐‐‐‐‐‐‐‐=‐‐‐‐‐‐‐‐

A

Page 11: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Sidesare__________________?

‐‐‐‐‐‐‐‐=‐‐‐‐‐‐‐‐=‐‐‐‐‐‐‐‐

B

Page 12: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Learning Target Review Studentswillapplypropertiesofsimilartriangles,proportionalityandtriangleanglebisectortheoremstofindsegmentlengths.

Studentswilldemonstratethisbyusingagraphicorganizer,answeringquestions,andsolvingproblems.

Page 13: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

What is Two Transversal Proportionality?

Page 14: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

A

Page 15: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

B

Page 16: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

StormCheckInyourownwords,whatisTwoTransversalProportionality?

Inmyownwords,TwoTransversalProportionalityis____________________________________

______________________________________.

Page 17: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

What is the Triangle Angle Bisector Theorem?

AB=ACBDDC

Page 18: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

A

Page 19: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

D

B

Page 20: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Storm Check Review

3.

2. 1.  

4.

Page 21: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

1)  Ratio2)  Proportion3)  CrossProduct4)  Scale

Vocabulary Review 1.  Teachersaystheword.

•  ALLStudentsrepeattheword.

2.  Teachercountsoutsyllablesass/hesaystheword.

•  ALLstudentsrepeatsyllablecountastheysaytheword.

3.  Studentteamscreateaphysicalrepresentationoftheword.

•  ClasschoosesonephysicalrepresentationforALLstudents.

4.  Studentteamscreateafriendlydefinitionfortheword.

•  Classchoosesonefriendlydefinitionfortheword.

Page 22: Geometry 7.4 Applying Properties of Similar Trianglesmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/geom_ch_7-4... · Students will apply properties of similar triangles, proportionality

Learning Target Review Studentswillapplypropertiesofsimilartriangles,proportionalityandtriangleanglebisectortheoremstofindsegmentlengths.

Studentswilldemonstratethisbyusingagraphicorganizer,answeringquestions,andsolvingproblems.