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If you are having difficulty with your high school geometry homework, or find that while you do OK in class you struggle with quiz and test questions that you’ve never seen before, or if you simply want to improve your geometry problem solving skills – you’ve come to the right place.
This site provides geometry proofs and formulas for solving geometry problems. We show you how to approach these problems, not just specific answers.
Read about intersecting lines in geometry and the angles they form. We'll discuss supplementary angles and congruent angles.
A triangle is one of the most basic shapes in geometry- and object with three straight sides (“edges”) and three angles, formed where each of the two sides meet. These meeting points are called “vertices”. Triangle Notation. A triangle is often noted by using the points at its vertices, for example: ΔABC
The angle bisector theorem states that in a triangle, the angle bisector partitions the opposite side of the triangle into two segments, with a ratio that is the same as the ratio between the two sides forming the angle it bisects: If ∠BAD≅ ∠CAD, then |BD|/|DC|=|AB|/|AC|.
The Pythagorean theorem, named after the Greek mathematician Pythagoras who first proved it, is fundamental to many geometry problems, and later on, for trigonometry. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the two legs: c 2 = a 2 +b 2.
We will prove most of the properties of special triangles like isosceles triangles using triangle congruency because it is a useful tool for showing that two things - two angles or two sides - are congruent if they are corresponding elements of congruent triangles. So, here's what we'd like to prove: in an isosceles triangle, not only are the ...
The triangle inequality theorem states that in any triangle, the sum of the lengths of any two sides is greater than the length of the third side.
If we draw chords from a point on the circle perimeter to each of the endpoints of an arc, we will define an angle called an Inscribed Angle. The inscribed angle's measure is half that of the central angle of the same arc, as we will now prove.
Here we'll discuss the concepts of lines and angles in geometry, including line segments, line axioms, and how two intersecting lines form an angle.