Geometry Answers

It is the teacher's task to introduce concepts of measurement in a practical way to Intermediate Phase learners. Use the attribute of volume and give three practical examples of how the teacher can introduce this concept. 

Look out for some congruent objects in your surrounding make a project showing these objects and state the reasons to show that they are congruent

Draw neat diagrams of the following 3D objects, made up of: (4) 1

2.1 Regular hexahedron (name it)

12.2 A hexahedron which is a pyramid (name it)

Use the following to show different representations of square numbers

1.1)Square grid

1.2Isometric dotty paper

1.3) Square dotty paper

What is the weight of a steel plate 15 ft. long, 4 ft. wide, and 5/8 inch thick, if the steel weights 475 lb./ft.^3?

An equilateral triangle ABC has coordinates O(0, 0), B(a, 0) and C(c, d).

a Find c and d in terms of a by using the fact that OB = BC = CO.

b Find the equation of the lines OB, BC and CO.

In any triangle PQR prove that PQ2 + PR2 = 2(PS2 + SR2)

Where S is the midpoint of QR.

Prove that the midpoints of a parallelogram bisect each other using coordinate geometry.

Solution

Exercise 102

Suppose a ball is dropped from a height of 200m. If time after the ball was released is in seconds, and the height of the ball above the ground at time is given by

 , find the average velocity from to 

Show that the slope of the line joining the points A(1,1) and B is 

A line passes through the points (0, 5) and (9, −1). Find the equation of the line which is perpendicular to the line and passes through its midpoint.

Find the equation of the line that is parallel to the line y = −2x + 6 and passing through the point A(1, 10).

A square has vertices O(0, 0), A(a, 0), B(a, a) and C(0, a).

i Find the midpoint of the diagonals OB and CA.

ii Find the length of a diagonal of the square and the radius of the circle in which OABC is inscribed.

Iii Find the equation of the circle inscribing the square

How to Calculate the perimeter of a 3quarter of a circle with radius 4cm

A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

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. -3x + 4y = 3

B. -1.5x − 3.5y = -31.5

C. 2x + y = 20

D. -2.25x + y = -9.75