# SAT Practice Test For Geometry Transformations

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| By MissHubbard
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MissHubbard
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Quizzes Created: 2 | Total Attempts: 790
Questions: 6 | Attempts: 698

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• 1.

### The point P(-3, 7) is reflected in the line y=x. What are the coordinates of P'?

• A.

(-3, -7)

• B.

(3, -7)

• C.

(3, 7)

• D.

(-7, 3)

• E.

None of these

E. None of these
Explanation
When a point is reflected in the line y=x, the x-coordinate and y-coordinate of the point are swapped. In this case, the x-coordinate of P is -3 and the y-coordinate is 7. When they are swapped, the new x-coordinate becomes 7 and the new y-coordinate becomes -3. Therefore, the coordinates of P' are (7, -3).

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• 2.

### What two transformations were performed to obtain /\ X"Y"Z" in the diagram?

• A.

Reflection, reflection

• B.

Reflection, rotation

• C.

Reflection, translation

• D.

Translation, reflection

• E.

Rotation, reflection

A. Reflection, reflection
Explanation
The correct answer is reflection, reflection. This means that the shape was reflected twice to obtain /\ X"Y"Z".

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• 3.

### What type of transformation is shown in the diagram.

• A.

Slide

• B.

Translation

• C.

Reflection

• D.

Rotation

• E.

Isometry

C. Reflection
Explanation
The correct answer is reflection. In a reflection, an object is flipped over a line called the line of reflection. The diagram likely shows an object that has been flipped over a line, creating a mirror image of itself. This type of transformation is called a reflection.

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• 4.

### How many lines of symmetry does the polygon at the right have?

• A.

2

• B.

10

• C.

4

• D.

8

• E.

6

D. 8
Explanation
The polygon at the right has 8 lines of symmetry. A line of symmetry is a line that divides a shape into two equal halves, where each half is a mirror image of the other. By examining the polygon, we can see that there are 8 different lines that can be drawn to divide it into two equal halves. Therefore, the correct answer is 8.

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• 5.

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

C. C
• 6.

### How many lines of symmetry does the infield of a baseball field have?

• A.

0

• B.

1

• C.

2

• D.

3

• E.

4

B. 1
Explanation
The infield of a baseball field has one line of symmetry. This means that if you were to fold the infield in half along this line, both halves would match perfectly. The other options, 0, 2, 3, and 4, are incorrect because they do not accurately represent the number of lines of symmetry in the infield of a baseball field.

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