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2002 AMC 8 Question 20

AMC8 · 2002 AMC 8

Question 20

The area of triangle $XYZ$ is $8$ square inches. Points $A$ and $B$ are midpoints of congruent segments $\overline{XY}$ and $\overline{XZ}.$ Altitude $\overline{XC}$ bisects $\overline{YZ}.$ The area (in square inches) of the shaded region is

Question illustration
  1. $1 \frac{1}{2}$
  2. $2$
  3. $2 \frac{1}{2}$
  4. $3$
  5. $3 \frac{1}{2}$