Chapter 2
Pre Chapter 2: Video Lesson on Simplifying Radicals Lesson
Chapter 2.3: Video Lesson on Distance from a Point to the Origin Lesson
Chapter 2.4: Video Lesson on Circles Lesson
Chapter 2.5: Video Lesson on Distance Between Two Points Lesson
Chapter 2.7: Video Lesson on Midpoints Lesson
Questions for You to Try
1. Simplify each of the following radical expressions:
a) sqrt(75) Answer: 5 sqrt(3) Video Solution
b) 3 sqrt(3) - sqrt(12) Answer: sqrt(3) Video Solution
c) [2 sqrt(6) - 5 sqrt(3)] [4 sqrt(2) - 8] Answer: 56 sqrt(3) - 36 sqrt(6) Video Solution
d) [sqrt(175) - sqrt(28)] / [sqrt(63)] Answer: 1 Video Solution
2. Determine the distance from P(-7,3) to the origin
Answer: sqrt(58) Video Solution
3. Determine the distance from the point A(-1,6) to B(3,-2)
Answer: 4 sqrt(5) Video Solution
4. Does the point A(5, -4) lie inside or outside of the circle x^2 + y^2 = 36?
Answer: Outside Video Solution
5. Determine the midpoint of the line segment from A(-5,-4) to B(3,1)
Answer: (-1, -3/2) Video Solution
Determining Properties of Triangles
6. Determine the centroid of the triangle with vertices at A(-4,-2), B(12,6) and C(8,12) (Quick way and long way)
Answer: (16/3, 16/3) Video Solution
7. Determine the circumcentre of the triangle with vertices at A(-4,-2), B(12,6) and C(8,12)
Answer: (23/8, 17/4) Video Solution
8. Determine the orthocentre of the triangle with vertices at A(-4,-2), B(12,6) and C(8,12)
Answer: (41/4, 15/2) Video Solution
9. Determine the area of the triangle containing vertices A(-1, -3), B(4,9) and C(5,6)
Answer: 27/2 Video Solution
Using Triangle Principles to Determine Lengths
10. Application of the area of a triangle question: Determine the shortest distance from the point P(1, -4) to the line containing the points Q(-4, -2) and R(5, 6) Answer: 58/[sqrt(145)] Video Solution