Translations

Trapezoid L'M'N'P' was constructed using trapezoid LMNP.

For the transformation to be a translation, which statements must be true? Select four options

• LL'=PP'

• LL'=MM'

• Trapezoid LMNP is congruent to trapezoid L'M'N'P'

• NN'= 1/2PP'

• All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

• (x, y) → (x – 3, y + 5

• (x, y) → (x – 3, y – 5)

• (x, y) → (x + 3, y – 5)

• (x, y) → (x + 3, y + 5)

Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y – 3.5) to create the image ΔA'B'C' shown on the coordinate plane.

Which graph shows the pre-image, ΔABC?

• 
• 
• 
• 

Triangle ABC was translated according to the rule

T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image?

• (3.5, –9.2)

• (–2.7, –4.7)

• (–5.5, 3.2)

• (0.7, –1.3)

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

• (13, –23)

• (5, 7)

• (18, 1)

• (–6, –4)

If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'?

• (–5, –2)

• (1, –12)

• (4, –15)

• (–9, –6)

If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?

• (1, –5)

• (–4, –10)

• (–3, –12)

• (3, –12)

Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?

• (7, –8)

• (–7, 6)

• (3, –12)

• (2, 1)

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

(4, –5), what are the coordinates of B'?

• (2, 3)

• (1, –9)

• (–3, –4)

• (6, –13)

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are

(–9, 2), what are the coordinates of F'?

• (–17, 5)

• (–6, –6)

• (–17, –1)

• (–12, –6)