Vectors-and-Lines-in-the-Plane-Volume 2

Hello there! Thank you for taking the time to explore this book.

This mathematics book is in PDF format and contains two chapters. I will show you its table of contents:

Chapter 1:  Vectors in the Plane.

 Introduction-Vectors- Equal vectors-Scalar multiplication- Triangle law of addition-

The parallelogram law for adding two vectors- Properties of vectors-Cartesian coordinate system-

Collinear vectors-Midpoint of a line segment-Triangles-Isosceles triangle-Equilateral triangle-Scalene triangle-

 Acute triangle-Obtuse triangle-Right triangle-Properties of triangles-The length of an altitude of a triangle-

The length of a median of a triangle- The length of an angle bisector of a triangle-

Sum of the interior angles of a polygon- Vertical angles and adjacent angles-Vertical angles-

 Adjacent angles-Parallel lines and angles-Alternate angles-Corresponding angles-

Consecutive interior angles- Similar triangles-Congruent triangles-Circles-Tangents-Circumscribed angle-

Chords-Arcs, sectors and segments- Intersection of a circle and a line- Angles in a circle-

Standard equation of a circle-The Euler line-Orthocenter of a triangle-Circumcenter of a triangle-

Centroid of a triangle-Exercises.

Chapter 2:   Lines in the plane.

Horizontal lines and vertical lines-Line passing through the origin-Reduced equation of a line in the plane-

Cartesian equation of a line in the plane-Parallel lines in the plane- Collinearity of three points in the plane-

 Perpendicular lines in the plane- Intersection of two lines in the plane-Orthogonal projection-

Distance from a point to a line in the plane-Medians of a triangle-Altitudes of a triangle-

 Perpendicular bisectors-Rhombuses-The bisector of an angle- Parallelograms-Exercises.

I hope  this book brings you inspiration, knowledge, and joy.

Happy reading.

A.  Ahmed, Teacher of Mathematics.

Thank you very much.