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Aims and Objectives:

Students will be able to identify

●        the elements of a quadrilateral

●       the types of quadrilaterals

●       sum of interior angles of a quadrilateral

●       to construct quadrilaterals

●        to construct parallelograms

●        to construct rectangles

●       to construct  squares

●       to construct rhombus

Method

Teacher will use

·         Demonstration method/project method

·         Inductive deductive method

·         Audio Visual method

Teacher will recap the students knowledge of the properties of Quadrilaterals.

students will practice constructing perpendicular bisectors and angular bisectors .

teacher will then relate the properties to the construction and show video to reinforce the same

students have to draw a rough figure with all the elements shown

students will then construct a neat figure as per the instructions given in the problem

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https://padlet.com/sarahv/constrhombus8

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https://padlet.com/sarahv/constsquare8

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https://padlet.com/sarahv/constrectangle8

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https://padlet.com/sarahv/constparallelogram8

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https://www.youtube.com/watch?v=wh0KQ4UB0EU

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Construction of Quadrilaterals | ikenSchool

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1. Construct a quadrilateral LMNO in which LM = 4.2 cm, MN = 6 cm, NO = 5.2 cm, OL = 5 cm And LN = 8 cm.

2. Construct a quadrilateral PQRS in which PQ = 5.4 cm, BC = 6 cm, QR = 4.6 cm, RS = 4.3 cm, SP = 3.5 cm and diagonal BD = 5.6 cm

3. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 3.8 cm, CD = DA = 4.5 cm and diagonal BD = 5.6 cm.

4. Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm.

5. Construct a quadrilateral LMNO in which LN = LO = 6 cm, MN = 7.5 cm , MO = 10 cm and NO = 5 cm. Measure the remaining side.

6. Construct a quadrilateral ABCD in which AB = 3.4 cm, CD = 3 cm, DA = 5.7 cm, AC = 8 cm and BD = 4 cm.

7. Construct a quadrilateral ABCD in which AB = BC = 3.5 cm, AD = CD = 5.2 cm and ∠ABC = 120°.

8. Construct a quadrilateral ABCD in which AB = 2.9 cm, BC = 3.2 cm, CD = 2.7 cm, DA = 3.4 cm and ∠A = 70°.

9. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, ∠B = 125° and ∠C = 60°.

10. Construct a quadrilateral LMNO in which LM = 6 cm, MN = 5.6 cm, NO = 2.7 cm, ∠M = 45° and ∠N = 90°.

11. Construct a quadrilateral ABCD in which AR = 5.6 cm, BC = 4 cm, ∠A = 50°, ∠B = 105° and ∠D = 80°.

12. Construct a quadrilateral PQRS m which PQ = 5 cm, QR = 6.5 cm, ∠P = ∠R = 100° and ∠S = 75°.

Hint: ∠Q = [360° - (100° + 100° + 75°)] = 85°.

13. Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC = ∠ACD = 90°.

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3. Five ways to construct a quadrilateral Given

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3. Five ways to construct a quadrilateral Given

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a) 4 sides 1 angle
b) 4 sides 1 diagonal
c) 3 sides 2 diagonals
d) 2 adjacent sides and 3 angles
e) 3 sides and two included angles

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Remember
i) we need 5 elements of a quadrilateral
ii) always make a rough diagram
iii) use only a ruler and a compass

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#A quadrilateral is a polygon with four edges (or sides) and four vertices or corners.

#The origin of the word "quadrilateral" is the two Latin words quadri, a variant of four, and latus, meaning "side".

#The interior angles of a simple (and planar) quadrilateral ABCDadd up to 360 degrees of arc, that is

{\displaystyle \angle A+\angle B+\angle C+\angle D=360^{\circ }.}