Translations – Rules and Properties

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| Questions: 20 | Updated: Oct 14, 2025
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1) Which of the following best describes a translation?

Explanation

A translation means the figure moves (slides) to a new position without rotating or flipping.

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About This Quiz
Translations Rules And Properties - Quiz

Are you ready to see how shapes can slide without changing? In this quiz, you’ll learn what a translation is, read and write vector rules like ⟨a, b⟩ and (x,y)→(x+a, y+b)(x,y)to(x+a,,y+b)(x,y)→(x+a,y+b), and practice moving points and polygons on the grid. You’ll check what translations preserve—lengths, angles, parallel lines, and orientation—so you... see morecan spot when two figures still match exactly. see less

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2) Which property is preserved after a translation?

Explanation

Translations keep distance, angles, shape, and size the same—so all these properties are preserved.

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3) If point A(2, –5) is translated by (x, y) → (x + 6, y + 4), what are the coordinates of A'?

Explanation

Rule (x + 6, y + 4): (2 + 6, –5 + 4) = (8, –1).

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4) The translation rule (x, y) → (x – 3, y + 7) moves a point:

Explanation

Subtracting 3 moves left, adding 7 moves up.

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5) Which vector represents a movement of 5 units right and 2 units down?

Explanation

Positive 5 = 5 right; negative 2 = 2 down.

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6) A triangle with vertices (0, 0), (2, 1), and (1, 3) is translated by ⟨–4, –2⟩. Which is one vertex after translation?

Explanation

(0 – 4, 0 – 2) = (–4, –2). That’s one translated vertex.

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7) The image of point P(–1, 4) is P'(–6, 9). What translation rule was applied?

Explanation

From (–1, 4) to (–6, 9): subtract 5 from x and add 5 to y.

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8) Which figure will remain congruent to its preimage after translation?

Explanation

Every figure keeps its size and shape after a translation.

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9) If a translation is represented by vector ⟨0, 0⟩, the transformation is:

Explanation

Vector ⟨0, 0⟩ means no movement—the figure stays in place.

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10) Which of the following is not true about translations?

Explanation

Translations do not change side lengths—this statement is false.

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11) Translate B(–3, –1) by (x, y) → (x + 2, y + 5). Where is B'?

Explanation

Rule (x + 2, y + 5): (–3 + 2, –1 + 5) = (–1, 4).

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12) Which transformation undoes a translation by vector ⟨a, b⟩?

Explanation

To undo a translation, move in the exact opposite direction.

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13) Which vector would map C(2, 7) to C'(–1, 3)?

Explanation

From (2, 7) to (–1, 3): x decreases by 3, y decreases by 4.

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14) A figure is moved 8 units left and 2 units down. Which rule describes this?

Explanation

Left means subtract 8 from x; down means subtract 2 from y.

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15) Which transformation is equivalent to two consecutive translations?

Explanation

Two translations combine into one equivalent translation.

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16) Which of these would NOT be preserved by a translation?

Explanation

Translations change the location (position) but not orientation, distance, or area.

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17) The vector ⟨–6, 0⟩ moves a point:

Explanation

Negative x direction = move left.

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18) If Q(5, –3) → Q'(10, –3), what is the vector?

Explanation

From (5, –3) to (10, –3): +5 in x direction, no change in y.

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19) A rectangle slides without turning. This is an example of:

Explanation

Sliding without turning is the definition of translation.

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20) Which statement is true?

Explanation

They keep shape and size the same, so figures remain congruent.

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Which of the following best describes a translation?
Which property is preserved after a translation?
If point A(2, –5) is translated by (x, y) → (x + 6, y + 4), what...
The translation rule (x, y) → (x – 3, y + 7) moves a point:
Which vector represents a movement of 5 units right and 2 units down?
A triangle with vertices (0, 0), (2, 1), and (1, 3) is translated by...
The image of point P(–1, 4) is P'(–6, 9). What translation rule...
Which figure will remain congruent to its preimage after translation?
If a translation is represented by vector ⟨0, 0⟩, the...
Which of the following is not true about translations?
Translate B(–3, –1) by (x, y) → (x + 2, y + 5). Where is B'?
Which transformation undoes a translation by vector ⟨a, b⟩?
Which vector would map C(2, 7) to C'(–1, 3)?
A figure is moved 8 units left and 2 units down. Which rule describes...
Which transformation is equivalent to two consecutive translations?
Which of these would NOT be preserved by a translation?
The vector ⟨–6, 0⟩ moves a point:
If Q(5, –3) → Q'(10, –3), what is the vector?
A rectangle slides without turning. This is an example of:
Which statement is true?
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