PROF DR N D PATIL VIDYALAYA SAHYADRINAGAR STDVII
- Slides: 16
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS B A D C Sub-Maths The figure ABCD is closed four-sided figure. It is a Quadrilateral ABCD VERTICES : Point A Point. B Point. C and Point. D
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th Sub-Maths QUADRILATERALS How to name the Quadrilateral ? B A D C We can name the quadrilateral eight types by using the symbol 1. ABCD 2. ADCB 3. BCDA 4. BADC 5. CDAB 6. CBAD 7. DABC 8. DCBA
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS B SIDES OF QUADRILATERAL A SIDES : D C 1. 2. 3. 4. Seg AB Seg BC Seg CD Seg DA Sub-Maths
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths OPPOSITE VERTICES OF THE QUADRILATERAL B A D C OPPOSITE VERTICES : 1. Point A and Point C 2. Point B and Point D
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths OPPOSITE SIDES OF THE QUADRILATERAL B A D C OPPOSITE SIDES : 1. SEG AB and Seg DC 2. Seg AD and Seg BC Two opposite sides of a quadrilateral do not have a common vertex.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths ADJACENT SIDES OF THE QUADRILATERAL B A D C ADJACENT SIDES : 1. Seg AB and Seg BC 2. Seg AB and Seg AD 3. Seg AD and Seg DC 4. Seg DC and Seg BC Two adjacent sides have a common vertex.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th Sub-Maths QUADRILATERALS B ANGLES OF THE QUADRILATERAL A ANGLES : D C 1. 2. 3. 4. ABC BCD CDA DAB
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths OPPOSITE ANGLES OF THE QUADRILATERAL B A D C PAIRS OF OPPOSITE ANGLES : 1. ABC and ADC 2. DAB and BCD Two opposite angles of a quadrilateral do not have a common arm.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths ADJACENT ANGLES OF THE QUADRILATERAL B A D C PAIRS OF ADJACENT ANGLES : 1. ABC and BCD 2. BCD and CDA 1. CDA and DAB 2. DAB and ABC Two adjacent angles of a quadrilateral have a common arm.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths DIAGONALS OF THE QUADRILATERAL B A D C DIAGONALS : 1. Seg AC 2. Seg BD
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th Sub-Maths QUADRILATERALS The interior and the exterior of a quadrilateral Z P. Y S . . L. A Q . H. C . B R Points in the interior Points in the exterior Points on the quadrilateral Point A, Point H, Point L Point B, Point Y Point Z Point C There an infinite number of points on the quadrilateral
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths Quadrilateral region A D B C The points on the quadrilateral and the points in the interior of the quadrilateral form the quadrilateral region.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths The sum of the angles of the quadrilateral 1. By measuring the angles P S The measures of the angles of this quadrilateral are : Q R 1) m P = 120 ◦ 2) m Q = 50 ◦ 3) m R = 60 ◦ 4) m Q = 130 ◦ 120 ◦ + 50 ◦ + 60 ◦ + 130 ◦ = 360 ◦ The sum of the measures of the four angles of a quadrilateral is 360 ◦
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS Sub-Maths The sum of the angles of the quadrilateral P 1. By making triangles S The sum of the measures of the three angles of a triangle is 180 ◦ Q R Diagonal divides quadrilateral into two triangles Hence, The sum of the measures of the angles of a quadrilateral = 2 x 180 ◦ = 360 ◦ The sum of the measures of the four angles of a quadrilateral is 360 ◦
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR STD-VII th QUADRILATERALS (practice) B A D C Sub-Maths Que. Answer the following questions based on the figure alongside. 1. Write the name of the quadrilateral. 2) Write the names of the vertices, sides and angles. 3) Write the names of the pairs of the opposite and adjacent sides. 4) Write the names of the pairs of the opposite and adjacent angles. 5) Write the names of the diagonals of the quadrilateral.
PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR SHRI. PRABALKAR NIVRUTTI SUDHIR ( M. A. D. Ed. ) PROF. DR. N. D. PATIL VIDYALAYA, SAHYADRINAGAR
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