Everything Maths Grade 10

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 ...

d) C B D A 7 mm 39 mm 25 mm x 12.Calculatexandyin the diagrams below: a) 65 ◦ x b) 15 ◦^20 ◦ x c) 15 25 2 x x y d) 60 ◦ x A C B ...

f) 8 12 y x 7,5 9 13.Consider the diagram below. Is△ABCjjj △DEF? Give reasons for your answer. A D E B C F (^3218) 64 36 80 45 1 ...

17.F GHIis a rhombus.F^ 1 = 3x+ 20◦;G^ 1 =x+ 10◦. Determine the value ofx. H G I F 1 2 1 2 1 2 1 2 2 (^14) 3 E 18.In the diagram ...

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

K 8 G 84 ◦ H 10 9 L J 5 Calculate the length ofJK. 25.The figure below shows triangleGHKwith the smaller triangleJKLsitting insi ...

28.The figure below shows△M N Qcrossed byRP. PointsPandRbisect their respective sides of the triangle. N M Q 15 d P 9 d R a)The ...

32.Using the figure below, show that the sum of the three angles in a triangle is 180°. LineDEis parallel toBC. B C D A E a b c ...

A F B G C E D a)Prove thatF ECGis a parallelogram. b)Prove thatF E=ED. For more exercises, visit http://www.everythingmaths.co.z ...

CHAPTER^8 Analyticalgeometry 8.1 Drawing figures on the Cartesian plane 284 8.2 Distance between two points 288 8.3 Gradient of ...

8 Analytical geometry Analytical geometry is the study of geometric properties, relationships and measurement of points, lines a ...

Exercise 8 – 1: 1.You are given the following diagram, with various points shown: 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8 E C B ...

3.You are given the following diagram, with various points shown: 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8 E C B A D x y Which po ...

5.You are given the following diagram, with 4 shapes drawn. All the shapes are identical, but each shape uses a different naming ...

8.2 Distance between two points EMA69 A point is a simple geometric object having location as its only property. DEFINITION: Poi ...

AB^2 =AC^2 +BC^2 )AB= √ AC^2 +BC^2 And: AC=x 2 x 1 BC=y 2 y 1 Therefore: AB= √ AC^2 +BC^2 = √ (x 2 x 1 )^2 + (y 2 y 1 )^2 Theref ...