Everything Maths Grade 10

Worked example 4: Angles of elevation and depression QUESTION A block of flats is 200 m away from a cellphone tower. Someone sta ...

Worked example 5: Building plan QUESTION Mr Nkosi has a garage at his house and he decides to add a corrugated iron roof to the ...

2.A person stands at pointA, looking up at a bird sitting on the top of a pole (pointB). The height of the pole isxmeters, point ...

End of chapter Exercise 11 – 2: 1.A ladder of length 15 m is resting against a wall, the base of the ladder is 5 m from the wall ...

7.A ladder is 8 metres long. It is leaning against the wall of a house and reaches 6 metres up the wall. a)Draw a sketch of the ...

13.A rhombus has edge lengths of 7 cm. Its acute interior vertex angles are both 70°. Calculate the lengths of both of its diago ...

P Q R S 7,5 cm h 6,2 cm x 90 ◦ 90 ◦^42 ◦ a)FindP R, correct to 2 decimal places. b)Find the size of the angle markedx, correct t ...

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CHAPTER 12 Euclideangeometry 12.1 Proofs and conjectures 404 12.2 Chapter summary 409 ...

12 Euclidean geometry Geometry (from the Greek “geo” = earth and “metria” = measure) arose as the field of knowledge dealing wit ...

In△XAMand△ZCO XAM^ =ZCO^ (given:△CDZ△ABX) AXM^ =CZO^ (proved above) AX =CZ (proved above) )△XAM △ZCO (AAS) )M^ 1 =O^ 1 butM^ 1 ...

P Q R T S (^21) 1 2 4.Study the quadrilateralABCDwith opposite anglesA^=C^= 108◦and anglesB^=D^= 72◦carefully. Fill in the missi ...

Q R S T y 34 ◦ x 41 ◦ b)Find the value ofy. c)Find the value ofx. a)QuadrilateralXW V Uwith sidesXW ∥U VandXU∥W Vis given. Also ...

9.Study the diagram below; it is not necessarily drawn to scale. Two triangles in the figure are congruent: △QRS△QP T. Addition ...

12.2 Chapter summary EMA7J See presentation:2GR2atwww.everythingmaths.co.za A quadrilateral is a closed shape consisting of fou ...

End of chapter Exercise 12 – 2: 1.ABCDis a rhombus withAM=M OandAN=N O. ProveAN OMis also a rhombus. A D M B C O N 1 2 1 2 2.ABC ...

5.Dis a point onBC, in△ABC. Nis the mid-point ofAD.Ois the mid-point ofABandMis the mid-point ofBD.N R∥AC. B O C N A D M R a)Pro ...

8.Study the quadrilateralQRSTwith opposite anglesQ^=S^= 117◦and anglesR^=T^= 63◦carefully. Fill in the correct reasons or steps ...

Q R S T 21 21 1 2 2 1 a c b d 2 1 J 2 K 1 L 12 2 1 M 11.Study the diagram below; it is not necessarily drawn to scale. Two trian ...

13.ABCDis a parallelogram.BEF Cis a parallelogram.ADEFis a straight line. Prove thatAE=DF. A D E F B C 14.In the figure belowAB= ...