Identify and Describe the different kinds of triangles according to sides and angles
Identify and describe the different kinds of quadrilaterals
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Added: Mar 07, 2025
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Mathematics 4 Quarter 3 Kinds of Triangles And Quadrilaterals by: Zenaida R.Roque Medina ES
At the end of the lesson, you should be able to: Lesson 1: Identify and describe triangles according to sides and angles (M4GE-IIIc-16) Lesson 2: Identify and describe the different kinds of quadrilaterals: square, rectangle, parallelogram, trapezoid, and rhombus (M4GE-IIIc-17)
A triangle is formed by three segments that join three noncollinear points or the points which do not lie on the same straight line. Each segment is called a side of the triangle and the point where two sides meet is called a vertex . The triangle above is Δ ABC . The segments are the sides of the triangle, denoted by AB, BC and CA in the example. These three segments or sides joined at the vertices form the angles of the triangle, denoted as ∠A, ∠B and ∠C. A C B Vertex Side
Types of Triangles Based on Angles Right Triangle – a right triangle has a right angle which measures 90 . ABC is a right triangle. Example. 90 A B C
Types of Triangles Based on Angles Acute Triangle – an acute triangle has 3 acute angles, each measuring less than 90 . ABD is an acute triangle. B A D less than 90
Types of Triangles Based on Angles Obtuse Triangle – an obtuse triangle has an obtuse angle which measures more than 90 0. Example. E F D 110 Its angels measure more than 90
Types of Triangles Based on their Sides Scalene Triangle A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different. Example. X Y Z
Types of Triangles Based on their Sides Isosceles Triangle In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal. It has two equal sides and two equal angles. Exa mple. R T S
Types of Triangles Based on their Sides Equilateral Triangle In an equilateral triangle, all the lengths of the sides are equal. Example. D E
Different Kinds of Quadrilaterals Quadrilateral is a polygon with four vertices or corners, four sides and four angles. The sum of interior angles of quadrilaterals is always equal to 360 degrees. vertex sides angles
Trapezium It is a quadrilateral with one pair of opposite parallel sides. A D AB is Parallel to CD C B AC is not parallel to BC
Parallelogram It is a quadrilateral with two pairs of parallel sides. The opposite sides are parallel and equal in length. The opposite angles are equal in measure. F I H G T wo diagonals formed to intersect each other at the midpoints
Rectangle It is a quadrilateral with all the 4 angles of equal measure, that is, each of them is 90°. Both the pairs of opposite sides are parallel and equal in length.
Square It is a quadrilateral in which all the sides and angles are equal. Every angle is a right angle. The pairs of opposite sides are parallel to each other.
Kite It is a quadrilateral that has 2 pairs of equal-length sides, and these sides are adjacent to each other.
Some points about quadrilaterals to be kept in mind are: Square, rectangle, and rhombus are types of parallelograms. A square is a rectangle as well as a rhombus. The rectangle and rhombus are not a square. A parallelogram is a trapezium. A trapezium is not a parallelogram. Kite is not a parallelogram.