Everything Maths Grade 10

Rectangle EMA5Z DEFINITION: Rectangle A rectangle is a parallelogram that has all four angles equal to 90 °. A rectangle has all ...

Exercise 7 – 4: 1.ABCDis a quadrilateral. DiagonalsACandBDintersect atT.AC=BD,AT=T C,DT=T B. B C A D 吀 Prove that: a)ABCDis a pa ...

XT =ZT (sides of rhombus) T O amp; (common side) XO =OZ (diags of rhombus) )△XT O △ZT O (SSS) )O^ 1 =O^ 4 ButO^ 1 +O^ 4 = 180° ...

Both pairs of opposite sides are parallel. Both pairs of opposite sides are equal in length. Both pairs of opposite angles are ...

21 21 A C D B O SOLUTION Step 1: Prove△ADC△ABC In△ADCand△ABC: AD =AB (given) CD =CB (given) AC (common side) )△ADC △ABC (SSS) ...

Exercise 7 – 5: 1.Use the sketch of quadrilateralABCDto prove the diagonals of a kite are perpendicular to each other. A C B D O ...

1.Explain her possible reasoning for structuring the diagram as shown. 2.Design your own diagram to show the relationships betwe ...

6.Find the area ofACDFifAB= 8; BF= 17; F E=EC; BE=ED;A^= 90◦; CED^ = 90◦.  6 C . 1 " For more exercises, visit http://www.every ...

B C A D E SOLUTION Step 1: ExtendDEtoFso thatDE=EFand joinF C B C A D E F 1 2 Step 2: ProveBCF Dis a parallelogram In△EADand△ECF ...

Converse The converse of this theorem states: If a line is drawn through the mid-point of a side of a triangle parallel to the s ...

5.The figure below shows a large triangle with verticesA,BandD, and a smaller triangle with vertices at C,DandE. PointCis the mi ...

9.In the figure below,V W ∥ZX, as labelled. Furthermore, the following lengths and angles are given: V W = 12;ZX= 6;XY=5,5;Y Z= ...

d) x 14 P S T Q R y 60 ◦ 40 ◦ e)In the following diagramP Q=2,5 andRT=6,5. y x 66 ◦ Q S R P T 12.Show thatMis the mid-point ofAB ...

14.In the diagram below,Pis the mid-point ofN QandRis the mid-point ofM Q. One side of the triangle has a given length of 2 a 3 ...

7.5 Chapter summary EMA67 See presentation:2G86atwww.everythingmaths.co.za A quadrilateral is a closed shape consisting of four ...

b) c) d) e) f)An angle of 91° g)An angle of 180° h)An angle of 210° 2.Assess whether the following statements are true or false. ...

b) M O N P 137 ◦ 1 1 57 ◦ 123 ◦ c) G H K L 60 ◦ 60 ◦ 1 120 ◦ 4.Find anglesa,b,canddin each case, giving reasons: a) S R P Q a b ...

c) T W X V U 50 ◦ 45 ◦ a b c d 5.Given the figure below. A C G D E F B x s r p 135 ◦ y 45 ◦ a)Find each of the unknown angles ma ...

7.Given the following diagrams: Diagram A Diagram B a b c a b c a b c d e f Which diagram correctly gives a pair of similar tria ...

c) N M O P Q R d) R Q S U T V 11.Using the theorem of Pythagoras, calculate the lengthx: a) j +K x b) 5 cm x 13 cm c) d +K 2 +K ...