Practice Quiz

SAT Math

Category - Geometry and Measurement

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The side of a square is AB=2. What is the area of square EFGH, if E,F,G and H are the midpoints of the sides of the square ABCD?
  1. √2
  2. 2
  3. 2 √2
  4. 4
  5. 8
Explanation
Answer: B - The area of square EFGH is 2. Quadrangle EFGH is a square only when its vertices are the midpoints of sides of square ABCD.
DE=DH=2/2=1
EH^2=DE^2+DH^2=1^2+1^2=1+1=2
A_EFGH=EH^2=2
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