1 / 16

Today’s Lesson:

Today’s Lesson:. What: similar Figures Why : To use proportions to solve problems involving similar figures. Vocabulary: Similar figure– figures that are the same shape, but a different ____________________. Corresponding sides are ________________.

carl
Télécharger la présentation

Today’s Lesson:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Today’s Lesson: What: similar Figures Why: To use proportions to solve problems involving similar figures.

  2. Vocabulary: Similar figure– figures that are the same shape, but a different ____________________. Corresponding sides are________________. Corresponding angles are_______________ . ~symbol – means “is __________________ to.” size proportional congruent similar SAME shape! DIFFERENT size! CONGRUENT angles! PROPORTIONAL sides!

  3. C D X W Z B Y A Identifying corresponding sides: Trapezoid ABCD ~ Trapezoid WXYZ : (one is a reflection of the other) Side AD corresponds to side _____ . Side AB corresponds to side _____ . Side BC corresponds to side _____ . Side CD corresponds to side _____ . Angle X corresponds to angle _____ . Angle Z corresponds to angle _____ . WZ WX XY YZ B D

  4. Identifying corresponding sides: Triangle ABC ~ Triangle DEF: (one is a rotation of the other) B E D F A C Side AB corresponds to side _____ . Side AC corresponds to side _____ . Side BC corresponds to side _____ . Angle A corresponds to angle _____ . Angle B corresponds to angle _____ . DE DF EF D E

  5. C D W X Y Z A B Solve for a missing side length: Trapezoid ABCD is similar to trapezoid WXYZ (one is a reflection of the other). Solve for the missing side-length. 12.5 cm 2 cm ? 5 cm x = 5 cm

  6. Solve for a missing side length: Triangle ABC is similar to triangle DEF (one is a rotation of the other). Solve for the missing side-length. B E D F C A 4 cm ? 9 cm 7.2 cm x = 5 cm

  7. Solve for a missing side length: 2 Similar Triangles – What is the value of “x”? x 12 in. 10 in. 16 in. x = 19.2 in.

  8. Solve for a missing side length: • Scenario: The length and width of a rectangular box are 24 in. and 14 in. respectively. Another rectangular box has a length of 12 in. What is the smaller box’s width? x = 7 in.

  9. Solve for a missing side length: A 9.5 ft. tall tree casts a shadow 15 ft. in length. A nearby building casts a shadow that is 45 ft. in length. How tall is the building? x x = 28.5 ft. 9.5ft 45 ft 15 ft

  10. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

  11. NAME: DATE: ______/_______/_______ C D Math-7 NOTES W X A B Z Y What: similar Figures Why: To use proportions to solve problems involving similar figures. B E D F C A SAME shape! DIFFERENT size! CONGRUENT angles! PROPORTIONAL sides! Identifying corresponding sides: Trapezoid ABCD ~ Trapezoid WXYZ : (one is a reflection of the other) Side AD corresponds to side _____ . Side AB corresponds to side _____ . Side BC corresponds to side _____ . Side CD corresponds to side _____ . Angle X corresponds to angle _____ . Angle Z corresponds to angle _____ . Vocabulary: Similar figure – figures that are the same shape, but a different _________. Corresponding sides are __________________________. Corresponding angles are _________________________ . ~ symbol – means “is ___________________ to. Triangle ABC ~ Triangle DEF: (one is a rotation of the other) Side AB corresponds to side _____ . Side AC corresponds to side _____ . Side BC corresponds to side _____ . Angle A corresponds to angle _____ . Angle B corresponds to angle _____ .

  12. C D X W Y A B Z • Solve for a missing side length: • Trapezoid ABCD is similar to trapezoid • WXYZ (one is a reflection of the • other). Solve for the missing • side-length. • Triangle ABC is similar to triangle DEF • (one is a rotation of the other). Solve for • the missing side-length. • 2 Similar Triangles – What is the value of “x”? • Scenario: The length and width of a rectangular box are 24 in. and 14 in. respectively. Another rectangular box has a length of 12 in. What is the smaller box’s width? • A 9.5 ft. tall tree casts a shadow 15 ft. in length. A nearby building casts a shadow that is 45 ft. in length. How tall is the building? B E D 12.5 cm 2 cm F ? 5 cm C A 4 cm ? x 12 in. 7.2 cm 9 cm 10 in. 16 in. x 9.5ft 15 ft 45 ft

  13. NAME:_____________________________________________________________________________NAME:_____________________________________________________________________________ DATE: ______/_______/_______ D B 3 ft 4.5 ft C A 4 ft E F x F B C 12 ft 14 ft 18 ft J G D A x H 20 in L M 15 in Q R 12 in x S T N O Math-7 Classwork “Similar Figures”

  14. NAME:_______________________________________________________________________________NAME:_______________________________________________________________________________ DATE: ______/_______/_______ Math-7 Practice/ homework “Similar Figures”

More Related