Question 1

Given the quadrilateral QRST with vertices $$Q(-7, -2)$$, $$R(2, -2)$$, $$S(2, 2)$$, and $$T(-7, 2)$$, what are the coordinates of $$Q'$$ after a translation 4 units right and 5 units up?

Accepted Answer

$$(-3, 3)$$

Question 2

After translating the point $$R(2, -2) by 4 $$units right and 5 units up, what are the new coordinates $$R'$$?

Accepted Answer

$$(6, 3)$$

Question 3

What is the image of $$S(2, 2)$$ after a translation 4 units right and 5 units up?

Accepted Answer

$$(6, 7)$$

Question 4

If $$T(-7, 2) is $$translated 4 units right and 5 units up, what are the coordinates of $$T'$$?

Accepted Answer

$$(-3, 7)$$

Question 5

Which of the following describes the translation rule applied to all vertices in the problem?

Accepted Answer

$$(x, y) \rightarrow (x+4, y+5)$$

Question 6

If a point $$A(x, y) is $$translated 4 units right and 5 units up, what is the general formula for the new coordinates $$A'$$?

Accepted Answer

$$(x+4, y+5)$$

Question 7

Which of the following is the correct set of coordinates for the translated quadrilateral $$Q'R'S'T'$$?

Accepted Answer

$$Q'(-3, 3), R'(6, 3), S'(6, 7), T'(-3, 7)$$

Question 8

A translation moves every point of a figure the same distance in the same direction. If $$Q(-7, -2) is $$translated to $$Q'(-3, 3)$$, what is the translation vector?

Accepted Answer

$$(4, 5)$$

Question 9

If the translation $$(x, y) \rightarrow (x+4, y+5) is $$applied to the entire coordinate plane, what happens to the origin $$(0, 0)$$?

Accepted Answer

$$(4, 5)$$

Question 10

A rectangle has vertices at $$(-7, -2)$$, $$(2, -2)$$, $$(2, 2)$$, and $$(-7, 2). $$After a translation 4 units right and 5 units up, what is the length of the side parallel to the x-axis?

Accepted Answer

$$9$$

Question 11

Suppose a translation moves a point from $$(-7, 2) to$$ $$(-3, 7). $$What is the translation rule?

Accepted Answer

$$(x, y) \rightarrow (x+4, y+5)$$

Question 12

If a translation is described by $$(x, y) \rightarrow (x+a, y+b)$$, what are the values of $$a$$ and $$b$$ for a translation 4 units right and 5 units up?

Accepted Answer

$$a=4, b=5$$

Translating Vertices on the Coordinate Plane

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