Self Practice 2025-01-10 Geometry: Written Solutions

• Secant line

• Chord

• Radius

• Diameter

• Tangent Line

• Secant line

• Chord

• Radius

• Diameter

• Tangent Line

• Secant line

• Chord

• Radius

• Diameter

• Tangent Line

• Secant line

• Chord

• Radius

• Diameter

• Tangent Line

• Secant line

• Chord

• Radius

• Diameter

• Tangent Line

[AOPS Geo 1.3.3]

What is the maximum number of possible points of intersection of a circle and a triangle?

[AOPS Geo 1.3.4]

Two circles and three straight lines lie in the same plane. If neither the circles nor the lines are coincident (meaning the two circles are different and the three lines are all different lines), what is the maximum possible number of points at which at least two of the five figures intersect?

[AOPS Geo 2.4.1]

Find x and y.

[Express your answer as pair (x, y)]