TRIGONOMETRY

TRIGONOMETRY

STUDY OF TRIANGLES BY APPLYING THE RELATIONSHIP BETWEEN THE SIDES AND THE ANGLES

TRIGONON

GREEK WORD MEANS TRIANGLES

METRIA

GREEK WORD MEANS MEASUREMENT

PLANE AND SPHERICAL

BRANCHES OF TRIGONOMETRY

PLANE TRIGONOMETRY

DEALS WITH TRIANGLES IN THE TWO DIMENSIONS OF THE PLANE

SPHERICAL TRIGONOMETRY

CONCERNS WITH TRIANGLES EXTRACTED FROM THE SURFACE OF A SPHERE

PYTHAGORAS

WHO FORMULATED PYTHAGOREAN THEOREM

PTOLEMY’S THEOREM

The sum of the two pairs of opposite sides of a convex quadrilateral inscribed in a circle is equal to the product of the lengths of the diagonals

PTOLEMY’S THEOREM

This theorem was named after the geographer, mathematician and astronomer, Ptolemy or Claudius Ptolemaeus of Alexandria

CIRCUMCENTER

the point of concurrency of the perpendicular bisectors of the sides of a triangle

CIRCUMCENTER

also the center of the circumscribing circle (also known as circumcircle). It can be inside or outside the triangle.

HYPOTENUSE

For right triangle, the circumcenter is at the midpoint of where?

INCENTER

the point of concurrency of the angle bisector of a triangle. The point of intersection of the angle bisectors of a triangle.

the center of the inscribed circle

ORTHOCENTER

the point of concurrency of the altitudes of a triangle

CENTROID

the point of concurrency of the medians of the triangle. It is the geometric center of the triangle

MEDIAN

Refers to the line that connects the vertex to the midpoint of the line opposite the vertex

ORTHOCENTER

WHAT IS THE POINT OF CONCURRENCY WHERE ALL THREE ALTITUDES OF A TRIANGLE INTERSECT?

INCIRCLE

THE POINT OF CONCURRENCY OF THE THREE INTERIOR ANGLE BISECTORS SERVES AS THE CENTER OF WHICH CIRCLE?

ALTERNATE INTERIOR ANGLES

WHEN TWO PARALLEL TRANSMISSION LINES ARE INTERSECTED BY A TRANSVERSAL LINE, WHICH PAIR OF ANGLES ARE ALWAYS EQUAL IN MEASURE?