7Acc 11-1 Translations

Use the translation (x,y)→(x+1,y−3) to graph the image of  $\Delta D'E'F$  

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The coordinates of ΔDEF are D(4,3)​, E(7,3)​, and F(6,8). If you translate ΔDEF 4 units left and 3 units up​, what are the coordinates of F′​?

• (2, 11)

• (9, 4)

• (0, 6)

• (3, 6)

Quadrilateral Q′R′S′T′ is the image of quadrilateral QRST after a translation. If the perimeter of QRST is about 12.4​ units, what is the perimeter of Q′R′S′T′​? If m∠S=115°​, what is m∠S′​?

• The perimeter and corresponding angle measures will be smaller.

• The perimeter and corresponding angle measures will be larger.

• Both the perimeter and corresponding angle measures will be unchanged.

• The perimeter will be larger, and corresponding angle measures will be unchanged.

Quadrilateral WXYZ is translated to quadrilateral W′X′Y′Z′. Write a rule that describes the translation.

• (x,y)→​(x−10​,y+8​)

• (x,y)→​(x+10​,y−8​)

• (x,y)→​(x−8​,y+10​)

• (x,y)→​(x+8​,y−10​)

ΔJKL has vertices ​J(4​,3​), ​K(4​,7​), and ​L(7​,3​). Which graph shows ΔJKL and ΔJ′K′L′​, its image after a​ translation?

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The vertices of parallelogram GRAM are G(−8,2), R(−7,6), A(−4,6), and M(−5,2). Graph GRAM and​ G'R'A'M', its image after a translation 11 units right and 1 units up.

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The vertices of pentagon VWXYZ are V(4,5), W(6,5), X(6,7), Y(5,8), and Z(4,7). Graph VWXYZ and V′W′X′Y′Z′​, its image after a translation 10 units left and 2 units down. Use pencil and graph paper.

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The vertices of ΔQRS are​ Q(3,3), R(7,3), and​ S(5,8). Graph and label the image of ΔQRS after a translation 2 units left and 2 units up.

• Q'(1, 5) R'(5, 5) S'(3, 10)

• Q'(5, 5) R'(9, 5) S'(7, 10)

• Q'(1, 1) R'(5, 1) S'(3, 6)

• Q'(5, 1) R'(9, 1) S'(7, 6)

Determine how to translate triangle ABC to triangle A'B'C'.

• (x+2, y-5)

• (x+2, y-9)

• (x-2, y-9)

• (x-2, y+9)

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)
• (x-8, y-4)
• (x+4, y+8)
• (x-4, y-8)