Similarity with All Transformations

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| By Thames
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Thames
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Quizzes Created: 7288 | Total Attempts: 9,526,295
| Questions: 20 | Updated: Nov 24, 2025
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1) A rotation of 180° about the origin sends (3, –4) to:

Explanation

A 180° rotation about the origin sends (x, y) → (–x, –y).

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About This Quiz
Similarity With All Transformations - Quiz

Want to see how shapes can match by more than just resizing? In this quiz, you’ll combine dilations with translations, rotations, and reflections to show similarity—equal angles and proportional sides. You’ll choose the right sequence to map one figure to another and explain which properties stay the same (and which... see moreones change).
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2) Which transformation produces a mirror image across a line?

Explanation

Reflections create mirror images across a line.

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3) A triangle with angles 40°, 60°, and 80° is dilated to create a larger similar triangle. Which property remains unchanged after the transformation?

Explanation

Dilations keep angles the same; lengths and perimeter scale.

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4) Which statement is true about translations?

Explanation

Translations slide figures only.

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5) Which is NOT a similarity transformation?

Explanation

Shears change angles, so they are not similarity transformations.

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6) Which transformation best demonstrates congruence by a slide (no turn or flip)?

Explanation

A translation is a slide with no turn or flip, and it preserves congruence.

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7) Which transformation can change the size of a figure?

Explanation

Dilations change size by a scale factor.

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8) Two triangles are similar if:

Explanation

That is the definition of similarity.

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9) Triangle A has vertices at (0,0), (2,0), (0,2) and Triangle B has vertices at (0,0), (4,0), (0,4). Which transformation maps Triangle A onto Triangle B?

Explanation

Each coordinate doubles, so side lengths double.

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10) A reflection across the y-axis sends (–5, 3) to:

Explanation

Reflect across y-axis: (x, y) → (–x, y).

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11) Which is the correct definition of similar figures?

Explanation

That is the definition of similar figures.

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12) Point A is located at (2,3). After reflection across the x-axis, the coordinates of A are:

Explanation

Reflect across x-axis: (x, y) → (x, –y).

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13) If a figure is rotated 360°, the image is:

Explanation

A 360° rotation returns the figure to its original position.

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14) A rectangle is dilated by a factor of 3. Which is true?

Explanation

Dilations preserve angle measures; side lengths scale.

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15) A triangle has coordinates (0,0), (1,2), (3,1). After dilation with scale factor 2, the new coordinates are:

Explanation

Scale factor 2 multiplies each coordinate by 2.

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16) What is the center of rotation that maps a figure onto itself at 120°?

Explanation

A figure that maps to itself by 120° has rotational symmetry about its center.

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17) Which sequence of transformations proves two rectangles are similar?

Explanation

Dilation creates proportional sides, translation repositions without changing shape.

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18) What sequence transforms a triangle into a similar triangle of different size but same orientation?

Explanation

A dilation changes size but keeps orientation if the scale factor is positive.

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19) Which transformation changes orientation but preserves distance?

Explanation

Reflections reverse orientation but preserve distances and angles.

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20) A square has vertices at (0,0), (0,2), (2,2), (2,0). A 90° counterclockwise rotation of this square about the origin places the bottom-right corner at:

Explanation

90° counterclockwise: (x, y) → (–y, x). For (2, 0), result is (0, 2).

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A rotation of 180° about the origin sends (3, –4) to:
Which transformation produces a mirror image across a line?
A triangle with angles 40°, 60°, and 80° is dilated to create a...
Which statement is true about translations?
Which is NOT a similarity transformation?
Which transformation best demonstrates congruence by a slide (no turn...
Which transformation can change the size of a figure?
Two triangles are similar if:
Triangle A has vertices at (0,0), (2,0), (0,2) and Triangle B has...
A reflection across the y-axis sends (–5, 3) to:
Which is the correct definition of similar figures?
Point A is located at (2,3). After reflection across the x-axis, the...
If a figure is rotated 360°, the image is:
A rectangle is dilated by a factor of 3. Which is true?
A triangle has coordinates (0,0), (1,2), (3,1). After dilation with...
What is the center of rotation that maps a figure onto itself at...
Which sequence of transformations proves two rectangles are similar?
What sequence transforms a triangle into a similar triangle of...
Which transformation changes orientation but preserves distance?
A square has vertices at (0,0), (0,2), (2,2), (2,0). A 90°...
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