Translations – Coordinate Applications

1) Translate point W(–1, –2) by (x, y) → (x + 6, y + 5). What is W'?

(5, 3)

(7, 3)

(–7, –7)

(5, –7)

2) Which is preserved under translations?

Midpoints of line segments

Parallel lines

Perpendicular lines

All of the above

3) A translation sends Z(4, –3) → Z'(–2, 1). Which rule is correct?

(x, y) → (x – 6, y + 4)

(x, y) → (x + 6, y + 4)

(x, y) → (x – 6, y – 4)

(x, y) → (x + 6, y – 4)

4) Which translation moves every point the same distance in the same direction?

Rotation

Dilation

Translation

Reflection

5) If a figure is moved but not rotated, reflected, or resized, it has undergone a:

Rotation

Reflection

Translation

Dilation

6) The vector ⟨12, 0⟩ moves a point:

12 units up

12 units right

12 units left

12 units down

7) Translate P(–6, –1) → P'(–6, 9). What vector describes this?

⟨0, 10⟩

⟨10, 0⟩

⟨–10, 0⟩

⟨0, –10⟩

8) Which statement is true about translations?

They preserve distance and angles

They distort length but keep shape

They change orientation

They enlarge figures

9) Translate A(2, 3) by vector ⟨–8, –7⟩. Where is A'?

(–6, –4)

(10, –4)

(–6, 10)

(10, 10)

10) If a figure is translated 15 units left, what is the rule?

(x, y) → (x + 15, y)

(x, y) → (x – 15, y)

(x, y) → (x, y – 15)

(x, y) → (x, y + 15)

11) Which best describes translations?

Non-rigid transformations

Movements that preserve congruence

Transformations that reverse orientation

Movements that resize figures

12) A translation is also known as:

A flip

A slide

A turn

A stretch

13) Which of the following does NOT describe a translation?

It changes the position of a figure

It preserves size

It preserves shape

It flips a figure over a line

14) A quadrilateral has vertices (0, 0), (2, 0), (2, 3), (0, 3). After a translation ⟨5, –2⟩, what is one new vertex?

(5, 2)

(–5, 2)

(2, –2)

(7, –2)

15) If M(–2, 5) → M'(3, 1), which vector was applied?

⟨–5, 4⟩

⟨5, –4⟩

⟨–5, –4⟩

⟨5, 4⟩

16) Which transformation rule shifts a figure 4 units right and 6 units down?

(x, y) → (x – 4, y – 6)

(x, y) → (x + 4, y – 6)

(x, y) → (x + 4, y + 6)

(x, y) → (x – 4, y + 6)

17) Which is another way of describing translation?

Rigid motion

Scale factor change

Angle bisector

Enlargement

18) Translate point K(7, –8) using (x, y) → (x – 10, y + 3). Where is K'?

(–3, –5)

(–3, –11)

(17, –5)

(17, –11)

19) Which of the following is always true after a translation?

The figure is rotated

The figure is congruent to its image

The figure changes size

The figure flips

20) If vector ⟨a, b⟩ translates P(x, y) to P'(x + a, y + b), what is the vector for P(–4, 6) → P'(–7, 2)?

⟨–3, –4⟩

⟨3, 4⟩

⟨–3, 4⟩

⟨3, –4⟩