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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 ________________.

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Today’s Lesson:

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  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”

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