Practice Quiz

SAT Math

Category - Geometry and Measurement

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What is the length of the shorter diagonal in the quadrilateral below?
  1. √5
  2. 4
  3. √17
  4. 5
  5. √22
Explanation
Answer: C - The length of the shorter diagonal is √17. The shorter diagonal is AC. Use formula for the distance between two points.
A(-2,2),C(2,1)
d(A,C)=√((x_2-x_1 )^2+(y_2-y_1 )^2 )=√((2-(-2))^2+(1-2)^2 )=√((2+2)^2+(-1)^2 )=√(4^2+1)=
=√(16+1)=√17
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