Proves theorems on the different kinds of parallelogram (rectangle, rhombus, square). M9GE-IIIc-1
Rectangle – an equiangular parallelogram. All angles are right angles, and its diagonals are congruent.
Rhombus – an equilateral parallelogram. All sides are equal. Its diagonals are perpendicular. Each diagonal bisects opposite angles.
Square - an equiangular and equilateral quadrilateral. All the properties of parallelogram, rectangle and rhombus
Introduction
In this lesson, we shall focus on parallelograms that are rectangle, rhombus, and squares, their properties, and different theorems regarding relationships about their sides and angles. We need to remember is that rectangles, rhombi, and squares have all the properties of a parallelogram that have been discussed in the previous activity sheets.
Properties of Rectangle
All the properties of Parallelogram
If a parallelogram has one right angle, then it has four right angles. and the parallelogram is a rectangle.
The diagonals of a rectangle are congruent.
Properties of Rhombus
All the properties of Parallelogram
Diagonals of a rhombus are perpendicular.
Each diagonal of a rhombus bisects opposite angles.
Properties of Square
All the properties of Parallelogram
All the properties of Rectangle
All the properties of Rhombus
On the right is a rectangle QRST. Consider each given information and answer the questions that follow.
Assimilation
ASSESSMENT