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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

In this page, a short and to-the-point overview of constructing kites is provided. It is outlined as follows.

 •  Properties of kites is explained

 •  The number of independent parameters in a kite is `1`

 •  For a given parameter, construction of kites is approached as combination of triangles (sss, sas, asa, rhs, sal) and using the properties of kites.



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What is a kite?kite construction introduction

  • a quadrilateral with two pairs of equal and adjacent sides
  • a quadrilateral with two pairs of equal and adjacent sides
  • kite is not a quadrilateral

The answer is "a quadrilateral with two pair of equal and adjacent sides"

A quadrilateral is defined by `5` parameters. For a kite, the following properties provide additional dependency of parameters

 •  two pair of equal sides

 •  major diagonal perpendicularly bisects the minor diagonal. the diagonal that divides the kite into two congruent triangles is called major. The other diagonal is the minor diagonal.

 •  major diagonal bisects the angles at the vertices

 •  two equal opposite angles and two unequal opposite angles -- all sum up to `360^@` kite construction introductionA kite is defined by `3` parameters.

To construct a kite, `2` unequal sides (`bar(AB)`, `bar(BC)`) and the angle between them (`/_B`) are given. This is illustrated in the figureconstruction of kite with 2 unequal sides, angle Which of the following helps to construct the specified kite?

  • Consider as an SAS triangle in `BAD` and an SSS triangle `BCD`
  • Consider as an SAS triangle in `BAD` and an SSS triangle `BCD`
  • Consider as two ASA triangles in `BAD` and `BCD`

The answer is "Consider as an SAS triangle in `BAD` and SSS triangle `BCD`"

To construct a kite, a side (`bar(AB)`) and `2` angles (`/_A`,`/_B`) are given. This is illustrated in the figureconstruction of kite with 1 side, and 2 angles Which of the following helps to construct the specified kite?

  • Consider as an SAS triangle in `ABC` and an ASA triangle `ACD`
  • Consider as an SAS triangle in `ABC` and an ASA triangle `ACD`
  • Consider as two ASA triangles in `ABC` and `ACD`

The answer is "Consider as an SAS triangle in `ABC` and ASA triangle `ACD`"

To construct a kite, `2` unequal sides (`bar(AB)`, `bar(BC)`) and the major diagonal (`bar(BD)`) are given. This is illustrated in the figureconstruction of kite with 2 unequal sides, major diagonal Which of the following helps to construct the specified kite?

  • Consider as two SSS triangles in `ABD` and `BDC`
  • Consider as two SSS triangles in `ABD` and `BDC`
  • Consider as two ASA triangles in `BAD` and `BCD`

The answer is "Consider as two SSS triangles in `ABD` and `BDC`"

To construct a kite, `2` unequal sides (`bar(AB)`, `bar(BC)`) and the minor diagonal (`bar(AC)`) are given. This is illustrated in the figureconstruction of kite with 2 unequal sides, minor diagonal Which of the following helps to construct the specified kite?

  • Consider as two isosceles SSS triangles in `ABC` and `ACD`
  • Consider as two isosceles SSS triangles in `ABC` and `ACD`
  • Consider as two ASA triangles in `BAD` and `BCD`

The answer is "Consider as two isosceles SSS triangles in `ABC` and `ACD`"

To construct a kite, a side (`bar(AB)`), the major diagonal (`bar(BD)`), and angle (`/_ABD`) between them are given. This is illustrated in the figureconstruction of kite with 1 side, major diagonal, angle between them Which of the following helps to construct the specified kite?

  • Consider as two SSS triangles in `ABC` and `ACD`
  • Consider as two SAS triangles in `ABD` and `DBC`
  • Consider as two SAS triangles in `ABD` and `DBC`

The answer is "Consider as two SAS triangles in `ABD` and `DBC`"

Construction of Kite :

Properties of Kite:

 •  two pair of equal sides

 •  major diagonal perpendicularly bisects the minor diagonal. The diagonal that divides the kite as two congruent triangles is the major diagonal.

 •  major diagonal bisects the angles at the vertices

 •  two equal opposite angles and two unequal opposite angles sum up to `360^@` kite construction introduction The formulations of questions

 •  `2` unequal sides and the angle between them

 •  `1` side and `2` angles

 •  `2` unequal sides and the major diagonal

 •  `2` unequal sides and the minor diagonal

 •  `1` side, major diagonal and the angle between them

                            
slide-show version coming soon