We at **ask-math **believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

**We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.**

**Affiliations with Schools & Educational institutions are also welcome.**

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

In this section, we will discuss kite and its theorems.In kite, adjacent sides are equal and long diagonal bisect the small diagonal at right angle.All interior angles are acute angles.

Proof :

Statements |
Reasons |

1)AB ≅ AD | 1) Given |

2) BC ≅ CD | 2) Given |

3) AC ≅ AC | 3) Reflexive (common side) |

4) ΔABC ≅ ΔADC | 4) SSS Postulates |

5) ∠BAE ≅ ∠DAE | 5) CPCTC |

6) ΔABD is an Isosceles triangle. | 6) By property of an isosceles triangle. |

7) ∠ABE ≅ ∠ADE | 7) Property of isosceles triangle. |

8) ΔABE ≅ ΔADE | 8) ASA postulate. |

9) ∠AEB ≅ ∠AED | 9) CPCTC |

10)∠AEB +∠AED = 180 | 10) Linear pair angles are supplementary. |

11) 2∠AEB = 180 | 11) Addition property |

12) ∠AEB = 90 | 12) Division property |

13) AC ⊥ BD and AE ⊥ BD |
13) By property of perpendicular. |

Proof :

Statements |
Reasons |

1)AB ≅ AD | 1) Given |

2) BC ≅ CD | 2) Given |

3) AC ≅ AC | 3) Reflexive (common side) |

4) ΔABC ≅ ΔADC | 4) SSS Postulates |

5) ∠ABC ≅ ∠ADC | 5) CPCTC |

______________________________________________________________

In a kite, ABCD,AB = x + 2 , BC = 2x + 1. The perimeter of kite is 48cm. Find x and also find the length of each side.

As we know that, adjacent sides in a kite are equal.

∴ AB = AD and BC = CD.

Perimeter = sum of all the sides

P = AB + BC + CD + AD

48 = x + 2 + 2x + 1 + x + 2 + 2x + 1

48 = 6x + 6

⇒ 6x = 48 -6

∴ 6x = 42

x = 42/6

x = 7

∴ AB = AD = x + 2 = 7 + 2 = 9cm

and BC = CD = 2x + 1 = 2(7) + 1 = 14 + 1 = 15 cm

• Introduction to Quadrilateral

• Types of Quadrilateral

• Properties of Quadrilateral

• Parallelogram and its Theorems

• Rectangle and its Theorems

• Square and its Theorems

• Rhombus and its Theorems

• Trapezoid (Trapezium)and its Theorems

• Kite and its Theorems

• Mid Point Theorem

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers