Mathematics Practice Test – Plane and Circle Geometry

What is the focus of the point X which moves relative to two fixed points P and M on a plane such that angle PXM = 30^o?

A. The bisector of the straight line joining and .
B. An arc of a circle with as a chord.
C. The bisector of angle
D. A circle center and radius

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statement is true?

A. ΔZYX ≡ ΔOMN     B. ΔYZX ≡ ΔNOM     C. ΔZXY ≡ ΔMON     D. ΔXYZ ≡ ΔNOM

In the diagram,

|QR| = 10 m, |SR| = 8 m, angle QPS = 30^o, angle QRP = 90^o and |PS| = x. Find x.

A. 1.32 m     B. 6.32 m     C. 9.32 m     D. 17.32 m

In the diagram, PRST is a square. If |PQ| = 24cm, |QR| = 10cm and angle PQR = 90^o; find the perimeter of the polygon PQRST

A. 112cm     B. 98cm     C. 86cm     D. 84cm

The diagram below is a polygon.

Find the largest of its interior angles.

A. 30^o     B. 100^o     C. 120^o     D. 150^o