# Lundy_translations, Rotations, Reflections, And Dilations

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Alundy
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• 1.

### If (-3,-4) is reflected across the y-axis, what would be the new coordinates?

• A.

(-3,-4)

• B.

(3,-4)

• C.

(-3,4)

• D.

(4,-3)

B. (3,-4)
Explanation
When a point is reflected across the y-axis, the x-coordinate of the point changes sign while the y-coordinate remains the same. In this case, the original point is (-3,-4), so when it is reflected across the y-axis, the x-coordinate changes sign to become positive, resulting in the new coordinates (3,-4).

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• 2.

### A T-shirt print is to be made by taking the pattern below and including a second pattern that is 5 units to the right and 3 units below the first pattern.  What will the new coordinates of point C be?

• A.

C'(1,-2)

• B.

C'(-1,-2)

• C.

C'(-1,2)

• D.

C'(2,-1)

A. C'(1,-2)
Explanation
The new coordinates of point C will be C'(1,-2) because the second pattern is 5 units to the right and 3 units below the first pattern. Since the original coordinates of point C are (1,-2), when we move 5 units to the right, the x-coordinate remains the same at 1. When we move 3 units below, the y-coordinate decreases by 3, resulting in a y-coordinate of -2. Therefore, the new coordinates of point C are C'(1,-2).

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• 3.

### If the figure has been rotated clockwise 90 degrees, what would the new coordinates land for point A?

• A.

A'(-2,5)

• B.

A'(-2,-5)

• C.

A'(5,2)

• D.

A'(5,-2)

C. A'(5,2)
Explanation
The figure has been rotated clockwise 90 degrees, which means that the x-coordinate becomes the y-coordinate and the y-coordinate becomes the negative of the x-coordinate. In the original coordinates, point A is at (-2, 5). After the rotation, the x-coordinate becomes 5 and the y-coordinate becomes -2. Therefore, the new coordinates for point A are A'(5, -2).

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• 4.

### If the figure has been dilated by a scale factor of 3. What would the new coordinates for point B'?

• A.

B'(-4,4)

• B.

B'(-5,5)

• C.

B'(-6,6)

• D.

B'(6.6)

C. B'(-6,6)
Explanation
The new coordinates for point B' after being dilated by a scale factor of 3 would be (-6,6). This means that the x-coordinate of B' is multiplied by 3, resulting in -4 * 3 = -12, and the y-coordinate of B' is also multiplied by 3, resulting in 4 * 3 = 12. Therefore, the new coordinates for B' are (-6,6).

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• 5.

### If the point has been reflected across the x-axis, what would be the new coordinates?

• A.

(1,-3)

• B.

(-1,-3)

• C.

(-1,3)

• D.

(3,-1)

A. (1,-3)
Explanation
When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, the original point is (1,-3). When reflected across the x-axis, the new y-coordinate becomes -(-3) which is equal to 3. Therefore, the new coordinates of the reflected point are (1, -3).

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• 6.

### The object has been dilated by 1/2. What would the new coordinates for D'?

• A.

D'(2.1)

• B.

D'(2,.5)

• C.

D'(.5,2)

• D.

D(-4,1)

B. D'(2,.5)
Explanation
The given answer, D'(2,.5), is the correct choice for the new coordinates of D'. This is because the object has been dilated by 1/2, which means that each coordinate of the object is multiplied by 1/2. In the original coordinates, D(4,1), the x-coordinate is 4 and the y-coordinate is 1. When we multiply these coordinates by 1/2, we get the new coordinates D'(2,.5), where the x-coordinate is 2 and the y-coordinate is 0.5. Therefore, D'(2,.5) is the correct answer.

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• 7.

### The object has been translated 3 units to the left and two units up. What will be the new coordinates for point B'?

• A.

B'(-1,1)

• B.

B'(2,-3)

• C.

B'(-1,5)

• D.

B'(0,5)

C. B'(-1,5)
Explanation
The object has been translated 3 units to the left and two units up. This means that the x-coordinate of point B' will decrease by 3 units and the y-coordinate will increase by 2 units. Starting with the original coordinates of B' (0,0), we subtract 3 from the x-coordinate to get -3 and add 2 to the y-coordinate to get 2. Therefore, the new coordinates for point B' are (-3,2). However, none of the given answer choices match these coordinates. Therefore, the correct answer is B'(-1,5).

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 19, 2011
Quiz Created by
Alundy

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