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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?


Which quadrilaterals are described by the following characteristics? (Name them.) Draw each one neatly. (Do not assume properties that are not given.)

10.1 A rectangle with adjacent sides equal

10.2 A quadrilateral in which the non-parallel sides are equal 


A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? choices are

A.-3x + 4y = 3

B. -1.5x − 3.5y = -31.5

C. 2x + y = 20

D. -2.25x + y = -9.75


A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?


A Spherical water tank is to be constructed out of plastic materials. If the radius of the tank is 2 meters , and thickness of the water tank is to be 0.5 dm. What is the volume of the materials needed to construct the tank?


Study pp 21-29 of the Curriculum and Assessment Policy Statement (CAPS): Mathematics –

Intermediate Phase, which contains the Intermediate Phase overview for Space and Shape 

(Geometry) and Measurement. Thereafter, respond to the following questions:

1.1. Critically review the progression from Grade 4-6 for each of six topics under the content 

area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each 

topic in which you discuss and motivate whether the progression provides a fair amount of 

cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just 

right? (14) 


Sketch a counterexample showing that each statement is false:


1) Two triangles with three pairs of congruent angles must also have three pairs of congruent sides



1. Critically review the progression from Grade 4-6 for each of six topics under the content

area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each topic in which you discuss and motivate whether the progression provides a fair amount of cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just right?            

                                                   




Dimension of a linear subspace and of an affine subspace

Details theorm proof etc


Affine subspaces , Affine maps

In details


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