TRANSLATING A POINT IN THE COORDINATE PLANE WORKSHEET

Problem 1 :

a. On the graph, draw and label ΔABC, whose vertices have the coordinates A(1 , 1), B(6 , 2), and C(4 , 4).

b. Under the translation (x , y) -->(x - 4, y + 2), on the same graph, draw and label ΔA`B`C`.

c. Map the Translation

A(1 , 1) -->

B(6 , 2) -->

C(4 , 4) -->

Solution

Problem 2 :

Graph the original triangle and the image of ΔDEF under the translation T_{3 , -1}.

b. Rewritten as:

c. Map the translation:

D(0 , 2)

E(1 , -3) 

F(3 , -1)

Solution

Problem 3 :

Rewrite the translation in a different form:

a. T_{-2, 5}  __________

b. (x, y) --> (x + 4, y – 1) - ___________

Solution

Problem 4 :

Does the image remain congruent after a translation? Explain your answer.

Solution

Problem 5 :

 The rule for the translation so the image of A is A` is:

A(2 , 5) --> A`(-1 , 1)

a) T_{1, -4}         b) T_{-3 , -4}       c) T_{3, 4}       d) T_-1,4

Solution

Problem 6 :

Which point is the image of P(4 , -3) under the translation

P(x , y) --> `(x - 4, y) ?

a) P`(-8 , 0)     b) P` (8 , -3)     c) P`(0 , -3)    d) P`(0 , 0)

Solution

Problem 7 :

 Find the image of with the given translation rule.

T_{2 , -3}

H (-2, 0) --> 

O(0 , 0) --> 

T (0 , 4) --> 

Solution

Problem 8 :

The coordinates of ΔABC are

A(0 , -2), B(3 , 1), and C(4 , -3).

Graph and label these points.

b. Under the translation (x , y) --> (x +1, y - 3), draw and label ΔA`B`C`.

c. Map the Translation

Solution

Problem 9 :

Map the translation of ΔBUG under the rule given below.

T_{-2 , 4}

B(-2 , -3) --->

U(1 , 0) ---->

G(3 , -4) --->

Solution

Problem 10 :

Which of the following is the rule of the translation in which every point moves 6 units to the right on a graph?

a) (x , y) --> (x , y + 6)          b) (x , y) -->(x +6, y)

c) (x , y) --> (x +6, y + 6)      d) (x , y) -->(x -6, y)

Solution

Problem 11 :

Which quadrant does the point (-2, 4) lie in?

Solution