Definitions

Congruent The word ”Congruent” refers to objects that have the same shape and size, regardless of their position. In geometry, it means corresponding sides and angles are equal. In numbers, it means having the same remainder when divided by a certain value.

Congruent triangles Congruent triangles are triangles that have the same shape and size. When two triangles are congruent, their corresponding sides and angles are equal in measure. In other words, the corresponding sides of congruent triangles have the same length, and their corresponding angles have the same measure.

Parallelogram A parallelogram is a specific type of quadrilateral in which opposite sides are both parallel (meaning they will never intersect) and equal in length. Additionally, opposite angles in a parallelogram are also equal in measure.

Altitude In a triangle, the altitude is a line segment drawn from a vertex perpendicular to the opposite side (or its extension). It is also referred to as the height of the triangle. The altitude can be inside, outside, or on the triangle, depending on the type of triangle. The altitude divides the triangle into two right triangles.

Median In a triangle, the median is a line segment drawn from a vertex to the midpoint of the opposite side. Each triangle has three medians, each connecting a vertex to the midpoint of the opposite side. The medians intersect at a point called the centroid, which is the center of gravity or the balancing point of the triangle.

Right Bisector A right bisector of a line segment is a line that passes through the midpoint of the line segment and is perpendicular to it. In other words, it is a line that divides the line segment into two equal parts and forms a right angle with it.

Bisector of an Angle or Angle Bisector The bisector of an angle is a line or line segment that divides the angle into two congruent angles. In other words, it is a straight line that passes through the vertex of the angle and divides it into two equal parts.