SAT Practice Test For Geometry Transformations
Questions and Answers
- 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
Correct Answer
E. None of theseExplanation
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).Rate this question:
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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
Correct Answer
A. Reflection, reflectionExplanation
The correct answer is reflection, reflection. This means that the shape was reflected twice to obtain /\ X"Y"Z".Rate this question:
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- 3.
What type of transformation is shown in the diagram.
- A.
Slide
- B.
Translation
- C.
Reflection
- D.
Rotation
- E.
Isometry
Correct Answer
C. ReflectionExplanation
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.Rate this question:
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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
Correct Answer
D. 8Explanation
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.Rate this question:
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- 5.
Which of the following is not a rotation of this figure?
- A.
A
- B.
B
- C.
C
- D.
D
- E.
E
Correct Answer
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
Correct Answer
B. 1Explanation
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.Rate this question:
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