Geometry: Congruence, Quadrilaterals

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Paid

Language

Level

Intermediate

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Free

Last updated on May 6, 2026 12:04 am

Learn about the sizes, shapes, angles and dimensions of objects, including the properties of shapes as well as theorems that prove their relationships.

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Do you know how to determine the height of an object without measuring it? This free online course will introduce you to the basics of geometry, a mathematical technique used in the calculation of shapes and their properties. Geometry is essential to working with objects, drawings, and even construction. You will also learn how to apply Pythagoras? theorem as well as how to identify the similarities of triangles.

What You Will Learn In This Free Course

  • State triangle congruent theorems…
  • Outline the methods for proving tria…
  • Define median…
  • List the methods for proving a quadr…
  • State triangle congruent theorems
  • Outline the methods for proving triangles congruent
  • Define median
  • List the methods for proving a quadrilateral is a parallelogram
  • Outline the sides and angles of a rectangle
  • List some properties of a rectangle
  • Define ratios
  • List the types of ratios and their uses
  • State the cross multiplication properties of proportion
  • Identify a sector and an arc of a circle
  • Define the circumference and area of the circle
  • Define tangents of a circle
  • State the theorems of tangents of a circle
  • Congruent Triangles

    In this module, you will be introduced to congruent sizes and shapes. It illustrates the methods for proving triangles congruent. You will learn about medians in a triangle. You will also learn the theorems of an Isosceles triangle as well as the properties of a triangle using necessary criteria.

    Quadrilaterals

    This module starts by introducing you to the sides and angles of a quadrilateral. It illustrates how a quadrilateral becomes a parallelogram alongside the properties of a parallelogram. In this module, you will learn the properties of quadrilaterals such as rectangles, rhombus, and squares. This module will prove to you that a quadrilateral is a rectangle, rhombus, square as well as an isosceles trapezoid.

    Similarity

    In this module, you will be introduced to ratios, uses of ratios, properties of ratios as well as some terms used in ratios. This module analyzes the similarities between polygons as well as triangles. It will teach you how to find the height of an object or individual without necessarily measuring the height. You will learn the technics in calculating the degrees of right-angle triangles using succinct examples.

    Inequalities

    This module introduces the learner to some properties of inequalities. In this module, you will learn about substitution postulate involving addition, subtraction, multiplication, and division as well as the triangular inequality theorems.

    Circles

    To start, this module will introduce you to the basic parts of a circle such as its radius, diameter, chord, and semi-circle as well as how to identify these parts. In this module, you will learn about angles formed by a chord at a point and the theorems of an angle subtended on an arc of a circle. It further illustrates how you can measure as well as calculate the length of a tangent and secant.

    Course assessment

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      Geometry: Congruence, Quadrilaterals
      Geometry: Congruence, Quadrilaterals
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