Compositions

May 26, 2015

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

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

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

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

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

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

SWBAT: Draw Compositions in the Coordinate Plane

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

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

a) 𝑻𝟑.𝟐,𝟎

b) They are perpendicular by Reflections in Parallel Lines.

c) 3.2 cm

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane

Solution: 160° rotation about point P.

SWBAT: Draw Compositions in the Coordinate Plane

SWBAT: Draw Compositions in the Coordinate Plane