Everything Maths Grade 11

CHAPTER 16. GEOMETRY 16.2 Volume of a Pyramid: The volume of a pyramid is found by: V = 1 3 A. h where A is the area of the base ...

16.2 CHAPTER 16. GEOMETRY Step 2 : Substitute the given values = 1 3 . 2. 2. 3 = 1 3 . 12 = 4 cm^3 We accept the followingformul ...

CHAPTER 16. GEOMETRY 16.3 3. A triangular pyramid is placed on top of a triangular prism. The prism has anequilateral triangle o ...

16.3 CHAPTER 16. GEOMETRY Example 3: Similarity of Polygons QUESTION Polygons P QT U and P RSU are sim- ilar. Find the value of ...

CHAPTER 16. GEOMETRY 16.4 16.4 Triangle Geometry. Proportion EMBCJ Two line segments are divided in the same proportion if the r ...

16.4 CHAPTER 16. GEOMETRY A special case of this happens when the basesof the triangles are equal: Triangles with equal bases b ...

CHAPTER 16. GEOMETRY 16.4 Draw BE and CD. area�ADE area�BDE = 1 2 AD. h^1 1 2 DB. h^1 = AD DB area�ADE area�CED = 1 2 AE. h^2 1 ...

16.4 CHAPTER 16. GEOMETRY Proof: In�’s AGH and DEF AG = DE; AH = DF (constant) Aˆ =Dˆ (given) ∴�AGH≡�DEF (SAS) ∴ AGHˆ =Eˆ =Bˆ ∴ ...

CHAPTER 16. GEOMETRY 16.4 Given:�ABC withAˆ = 90◦ 1 2 A B C D 2 1 R.T.P.: BC^2 = AB^2 + AC^2 Proof: LetCˆ = x ∴ DACˆ = 90◦− x (∠ ...

16.4 CHAPTER 16. GEOMETRY Example 4: Triangle Geometry 1 QUESTION In�GHI, GH� LJ; GJ� LK andJKKI=^53. DetermineHJKI. SOLUTION G ...

CHAPTER 16. GEOMETRY 16.4 We need to calculateKIJI: We were givenJKKI =^53 So rearranging, we have JK =^53 KI And: JI = JK + KI ...

16.4 CHAPTER 16. GEOMETRY Exercise 16 - 2 Calculate SV �� S T U 10 V W 20 35 2.CBY B=^32. FindDSSB. X Y Z A C B D S Given the ...

CHAPTER 16. GEOMETRY 16.4 Find F H in the following figure. �� E D F G H 42 21 36 BF = 25 m, AB = 13 m, AD = 9 m, DF = 18 m. ...

16.5 CHAPTER 16. GEOMETRY 16.5 Co-ordinate Geometry EMBCK Equation of a Line Between Two Points EMBCL See video: VMftf at http:/ ...

CHAPTER 16. GEOMETRY 16.5 lating m m = y 2 − y 1 x 2 − x 1 = 2 − 1 2 − (−1) = 1 3 and then substituting this value into y− y 1 = ...

16.5 CHAPTER 16. GEOMETRY SOLUTION Step 1 : Label the points (x 1 ; y 1 ) = (−3;2) (x 2 ; y 2 ) = (5;8) Step 2 : Calculate the g ...

CHAPTER 16. GEOMETRY 16.5 y = mx + c and the equation of thesecond line is y = m 0 x + c 0 , then we know the following: If the ...

16.5 CHAPTER 16. GEOMETRY 1 2 3 1 2 3 θ Δy Δx x y 1 2 3 1 2 3 4 f(x) = 4x− 4 g(x) = 2x− 2 θg θf x y (a) (b) Figure 16.4: (a) A l ...

CHAPTER 16. GEOMETRY 16.6 Show that the line x = k for any constant k is parallel to the y-axis. (Hint: Show that the inclinati ...

16.6 CHAPTER 16. GEOMETRY Point x-coordinate y-coordinate A B C D E F G H � � � � � � � � A D C B E F G H What do you notice abo ...