Question : Two circles intersect each other at the points A and B. A straight line parallel to AB intersects the circles at C, D, E, and F. If CD = 4.5 cm, then the measure of EF is:
Option 1: 1.50 cm
Option 2: 2.25 cm
Option 3: 4.50 cm
Option 4: 9.00 cm
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Correct Answer: 4.50 cm
Solution :
The line segments CD and EF are chords of the two intersecting circles. Since the line passing through C, D, E, and F is parallel to AB, and AB is the line of intersection of the two circles, CD and EF are equal in length due to the properties of intersecting circles.
Therefore, if CD = 4.5 cm, EF should also be 4.5 cm.
Hence, the correct answer is 4.50 cm.
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