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Chapter 7 Similarity

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Chapter 7 Similarity Big idea: showing two triangles are similar 15 minutes of D.E.A.R Agenda DO NOW: center point of rotation is P (1, 1), the shape to rotate 40 ... – PowerPoint PPT presentation

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Title: Chapter 7 Similarity


1
Chapter 7 Similarity
  • Big idea showing two triangles are similar

2
  • 15 minutes of D.E.A.R

3
Agenda
  1. DO NOW center point of rotation is P (1, 1), the
    shape to rotate 40 degrees has the ordered pairs
    A (5, 1), B (8, 1), and C (3, 3)
  2. Launch grab bag (are the objects similar)
  3. Chapter 7 (get a book)
  4. Quiz
  5. Practice
  6. Wrap up

4
7-1
  • Proportions statement equating 2 ratios
  • Extreme 3 5 mean
  • Mean 5 x extreme
  • Pg. 456
  • The cross products of proportions are equal
  • Product of means equals product of extremes
  • Properties of Proportions pg. 458

5
Proportions We Do
  • Pg. 459 10, 12
  • Pg. 460 18, 20
  • Pg. 460 28, 30
  • You do 7 1 worksheet (1, 5, 7, 8, 10, 12, 14)

6
Do Now
  • Solve the following proportions
  • 1)
  • x/4 77/ 281
  • 2)
  • 8 / (2y 3) 6 / (y 4)

7
launch
  • About congruence and similarity and triangle thms.

8
Proving similar triangles
  • 2 triangles are similar if and only if
    corresponding angles are congruent
    corresponding sides are proportional
  • Pg. 461 50

9
Theorems
  • 7 -1 SAS pg. 475
  • 7-2 SSS
  • Examples pg. 476
  • Proof pg. 477

10
Algebra review
  • Solving quadratic equations pg. 462

11
Do now
  • Pg. 480 8 9 in book
  • Follow directions, use sentences to prove
  • When everyone here we are going to media center,
    you dont need to bring anything, except
    pen/pencil

12
AA similarity postulate
  • Angle angle postulate
  • If two angles of one triangle are congruent to
    two angles of another triangle then the triangles
    are similar
  • Pg. 474

13
10-10-12
  • 15 minutes of D.E.A.R
  • Warm up on board
  • Bring test up when done
  • When done get a book, turn to page 515 and read
    about pythagorean thm

14
7- 2 similar polygons
  • Similar figures have same shape, not necessarily
    same size ( similar)
  • Similar polygons pg. 463
  • Scale factor ratio of corresponding linear
    measurements of two similar figures

15
We do
  • Scale drawing and scale pg. 467
  • Pg. 469 12, 16
  • Pg. 470 22, 24
  • Pg. 470 32
  • Pg. 471 50, 52, 54

16
We do
  • Pg. 480 8, 10
  • Pg. 481 16
  • You do pg. 481 20, pg. 482 26,
  • You do pg. 482 38, 40

17
Wrap up
  • Solve the following proportion
  • 3
  • X 2 x 1
  • Describe corresponding angles of parallel lines
    and how do they compare with corresponding angles
    in polygons

18
homework
  • Remember, your area/scale factor drawing is due
    Friday
  • Test Tuesday 10/9/12
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