Math

Geometry Hard 1

⏱ 10:00

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• In the figure above, what is the value of x?
• In the coordinate plane, the points F (-2, 1), G (1, 4) and H (4, 1) lie on a circle with center P. What are the coordinates of point P?
• If ∠XYZ in the figure above is a right angle, what is the value of x?
• In the figure above, triangles ABC and CDE are equilateral and line segment AE has length 25. What is the sum of the perimeters of the two triangles?
• In the figure above, if l ||m and r = 91, then t + u =
• In the figure above, AOB is a straight line. What is the average of a, b, c and d?
• ABCD is a square and AB is also the chord of the circle with center O. What is the area of the square?
• What is the average of the five angles shown inside the circle?
• In the figure above, lines l and m are parallel. Which one of the following, if true, makes lines p and q parallel?
• In rectangle ABDF above, C and E are midpoints of sides  and  respectively. What fraction of the area of the rectangle is shaded?
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