QQuestionMathematics
QuestionMathematics
# 3.7.3 Test (CST): Constructions and Transformations
Which of these figures has rotational symmetry?
O. B.
C.
D.
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Answer
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Step 1:I'll solve this step by step, focusing on identifying rotational symmetry.
Step 2:: Understanding Rotational Symmetry
Rotational symmetry occurs when a figure can be rotated around its center point by a certain angle and look exactly the same as the original figure.
Step 3:: Analyze Figure A
- This figure appears to be an irregular shape - No consistent rotation would make it look identical to its original position - Does NOT have rotational symmetry
Step 4:: Analyze Figure B
- A hexagon can be rotated 60° ($$\frac{360°}{6}$$) and look identical
- This figure looks like a regular hexagon - HAS rotational symmetry
Step 5:: Analyze Figure C
- This appears to be an irregular triangle - No consistent rotation would make it look identical - Does NOT have rotational symmetry
Step 6:: Analyze Figure D
- This looks like an irregular quadrilateral - No consistent rotation would make it look identical - Does NOT have rotational symmetry
Final Answer
The key characteristic is that Figure B (the hexagon) can be rotated by 60° increments and still look exactly the same, which defines rotational symmetry.
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