Translations

Move It!

100

Point (2,3) moves right 4 and down 2. Find rule and image.

(x+4, y-2), (6,1)

200

Point (-5,1) moves left 3 and up 6.

(x-3, y+6), (-8,7)

300

Triangle A(1,1), B(2,3), C(4,1) moves up 5. New coordinates?

A′(1,6), B′(2,8), C′(4,6)

400

Rectangle moves right 3 and down 4. What is the rule?

(x + 3, y − 4)

500

Point (0, −3) moves left 6 and up 2. What is the image?

(−6, −1)

Apply The Rule

100

(x, y) → (x + 2, y − 1), point (3,4)

(5, 3)

200

(x, y) → (x − 5, y + 6), point (−2, −1)

(−7, 5)

300

(x, y) → (x + 0, y − 4), point (6, 7)

(6, 3)

400

(x, y) → (x + 3, y + 3), point (−4, −2)

(−1, 1)

500

Apply (x − 2, y − 5) to (8, 10)

(6, 5)

Reverse It

100

(2,3) → (6,1). What is the rule?

(x + 4, y − 2)

200

(−4, 5) → (−1, 9). Rule?

(x + 3, y + 4)

300

Image (8,2) with rule (x + 3, y − 2). What is the pre-image?

(5, 4)

400

(7, −1) → (2, 3). Rule?

(x − 5, y + 4)

500

Image is (0, 0). Original is (−6, 5). What is the rule?

(x + 6, y − 5)

FIX THE ERROR

100

Rule (x + 4, y − 2) on (3,5) = (8,3).

 correct is (7,3)

200

Student says (x − 2, y + 3) means move right 2 and down 3.

left 2 and up 3

300

Point (1,1) moved up 5 is (1,4)

correct is (1,6)

400

A translation changes x but not y. Student says it is vertical shift.

No, it is horizontal shift

500

Rule (x + 3, y + 3) applied to (2,2) = (5,4)

correct is (5,5)

Final Challenge

100

A map moves a park 3 units right. Rule?

(x + 3, y)

200

A game character moves down 5 and left 2. Rule?

(x − 2, y − 5)

300

A building blueprint shifts up 4 units. Rule?

(x, y + 4)

400

A drone moves right 6 and up 2. Rule?

(x + 6, y + 2)

500

A logo moves left 7 and down 3. Rule?

(x − 7, y − 3)