compositions - white plains middle school€¦ · swbat: draw compositions in the coordinate plane...
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Compositions
May 26, 2015
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
A (3, 1) A’( , ) A’’( , )
B (0, 4) B’( , ) B’’( , )
C (-5, 3) C’( , ) C’’( , )
ry=x rx-axis
1 3
4 0
3 -5
1 -3
4 0
3 5
A
B C
A’’ B’’
C’’
First Second
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
(1) ∆𝑫𝑬𝑭 ≅ ∆𝑨𝑩𝑪, ∆𝑫𝑬𝑭 𝒊𝒔 𝒂 𝟗𝟎° 𝒓𝒐𝒕𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 ∆𝑨𝑩𝑪 (2) ∆𝑲𝑳𝑴 ≅ ∆𝑺𝑻𝑼,
∆𝑲𝑳𝑴 𝒊𝒔 𝒂 𝒓𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏 𝒐𝒇 ∆𝑺𝑻𝑼 𝒊𝒏 𝒕𝒉𝒆 𝒚 − 𝒂𝒙𝒊𝒔. (3) 𝑸𝒖𝒂𝒅𝒓𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑮𝑯𝑰𝑱 ≅ 𝑸𝒖𝒂𝒅𝒓𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑵𝑷𝑸𝑹 𝑸𝒖𝒂𝒅𝒓𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑮𝑯𝑰𝑱 𝒊𝒔 𝒂 𝒕𝒓𝒂𝒏𝒔𝒍𝒂𝒕𝒊𝒐𝒏 𝟔 𝒖𝒏𝒊𝒕𝒔 𝒖𝒑
𝒐𝒇 𝑸𝒖𝒂𝒅𝒓𝒊𝒍𝒂𝒕𝒆𝒓𝒂𝒍 𝑵𝑷𝑸𝑹
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
Solution: Reflection in the x-axis followed by a translation to the right 5 units.
Solution:
𝑻𝟓,𝟎 ° 𝒓𝒙−𝒂𝒙𝒊𝒔
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SWBAT: Draw Compositions in the Coordinate Plane
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Example 3: Using the Reflections in Parallel Lines Theorem
9 4
9 4
d
c. GG” = 2d = 2(9+4) = 26
b.Yes, AC = BD because 𝐺𝐺′ 𝑎𝑛𝑑 𝐻𝐻"
are perpendicular to both k and m.
So, 𝐴𝐶 and 𝐵𝐷 are opposite sides if
a rectangle.
a. 𝐺𝐻 ≅ 𝐺′𝐻′, and 𝐺𝐻
≅ 𝐺"𝐻", 𝐻𝐵 ≅ 𝐻′𝐵, 𝐺𝐴 ≅ 𝐺′𝐴
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
a) 𝑻𝟑.𝟐,𝟎
b) They are perpendicular by Reflections in Parallel Lines.
c) 3.2 cm
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane
Solution: 160° rotation about point P.
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SWBAT: Draw Compositions in the Coordinate Plane
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SWBAT: Draw Compositions in the Coordinate Plane