Unit 2 Translate Figures and Use Vectors Transformation

Unit 2 Translate Figures and Use Vectors

Transformation: Moves or changes a figure Preimage: Original figure Image: Transformed figure “P prime” Isometry: A congruent transformation

Translation: An isometry that moves every point a certain distance in a certain direction P Q

Translation: Note: and

Motion Rule: Moves each point left, right, down, or up Left or Right Down or Up

Use the translation What is the image of D(4, 7)? D +2 – 5 (4 + 2, 7 – 5) (6, 2)

Use the translation What is the image of R(2, – 4)? (2 – 7, – 4 + 4) (– 5, 0) +4 – 7 R

Use the translation What is the preimage of M +6 – 4 (– 5, 3)? (– 5 – 4, 3 + 6) (– 9, 9)

Use the translation What is the preimage of (4, – 1)? (4 + 5, – 1) (9, – 1) +5 A

The vertices of ABC are A(– 1, 1), B(4, – 1), and C(2, 4). Graph the image of the triangle using prime notation. (– 1 – 3, 1 + 5) (– 4, 6) C A B (4 – 3, – 1 + 5) (1, 4) (2 – 3, 4 + 5) (– 1, 9)

The vertices of ABC are A(– 1, 1), B(4, – 1), and C(2, 4). Graph the image of the triangle using prime notation. (– 1 , 1 – 3) (– 1, – 2) C A B (4, – 1 – 3) (4, – 4) (2, 4 – 3) (2, 1)

is the image of ABC after a translation. Write a rule for the translation. +3 – 5

is the image of ABC after a translation. Write a rule for the translation. +2 – 5

Find the value of each variable in the translation. a = 80° 2 b = 8 b=4 c = 13 5 d = 100 d = 20°

Find the value of each variable in the translation. b – 5 = 12 b = 17 a = 180 – 90 – 31 a = 59° 3 c + 2 = 20 3 c = 18 c=6

HW Problems LT 2. 1 576 -577 3 -11 odd, 12, 28 -29