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Level E Quadrilaterals

Level E Quadrilaterals. This presentation will cover the basic properties of various quadrilaterals. Where appropriate, follow up exercises are indicated for consolidation purposes. Rectangle. Shape is made up of 4 straight lines. Quadrilaterals.

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Level E Quadrilaterals

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  1. Level E Quadrilaterals This presentation will cover the basic properties of various quadrilaterals. Where appropriate, follow up exercises are indicated for consolidation purposes. Created by Mr.Lafferty

  2. Rectangle Shape is made up of 4 straight lines Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” A few types of special quadrilaterals Quadrilateral Square Kite Rhombus Parallelogram Trapezium Created by Mr.Lafferty

  3. Rectangle Shape is made up of 4 straight lines Quadrilaterals Definition : Quadrilateral is “ A closed 4 sided linear shape” A few types of special quadrilaterals Square Kite Rhombus Parallelogram Trapezium Created by Mr.Lafferty

  4. (e) Turn symmetry (f) Turn symmetry The Square Properties of a square l (a) 4 sides are equal length l l (b) Opposite sides are parallel (c) All angles are equal and are 90o (d) It has 4 line of symmetry l (g) If cut out it can fit back 8 different ways (h) Two diagonals are the same length (i) Diagonals bisect each other at 90o (j) Diagonals bisect corner angles Created by Mr.Lafferty

  5. (e) Turn symmetry The Rectangle Properties of a rectangle l (a) Opposite sides have equal length b b (b) Opposite sides are parallel (c) All angles are equal and are 90o (d) It has 2 line of symmetry l (f) If cut out it can fit back 4 different ways (g) Diagonals are the same length (h) Diagonals bisect each other Exercise 2 Teejay Page 210 Created by Mr.Lafferty

  6. Angles in a Quadrilateral IMPORTANT : The angles in a quadrilateral ALWAYS add up to 360o B C bo co We have split the quadrilateral into two triangles But for any triangle the sum of the angles is 1800 do ao A D Hence for the quadrilateral we have 2x180o=360o Created by Mr.Lafferty

  7. Angles in a Quadrilateral Question : Find the missing angle below. The four angles of a quadrilateral add to = 360o w x 34o 100o yo z y Exercise 3 Teejay Page 213 Created by Mr.Lafferty

  8. (e) Turn symmetry The Rhombus Properties of a rhombus l (a) All sides have equal length l (b) Opposite sides are parallel (c) Opposite angles are equal l l (d) It has 2 line of symmetry (f) If cut out it can fit back 4 different ways (g) Diagonals bisect each other at 90o (h) Diagonals bisect corner angles Exercise 4 Teejay Page 214 Created by Mr.Lafferty

  9. The Kite B Properties of a kite l1 l1 (a) 2 pairs of adjacent sides of equal length A C (b) Left and right angles are the same (c) It has 1 line of symmetry l2 l2 (d) If cut out it can fit back 2 different ways D (e) Only one diagonal bisects the other (f) Diagonals cross each other at 90o (g) One diagonal bisect corner angles Exercise 1 Teejay Page 218 Created by Mr.Lafferty

  10. (d) Turn symmetry The Parallelogram Properties of a parallelogram l1 B (a) Opposite pairs of sides have equal length C (b) Opposite pairs of sides are parallel l2 l2 (c) Opposite pairs of angles are equal D A l1 (e) It has NO lines of symmetry (f) If cut out it can fit back 2 different ways (g) Diagonals bisect each other Exercise 1 Teejay Page 221 Created by Mr.Lafferty

  11. The Trapezoid Properties of a trapezoid Has ONLY ONE property which is 1 pair of parallel lines Exercise 1 Teejay Page 224 Created by Mr.Lafferty

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