Distance, midpoint and gradient, parallel and perpendicular lines, the equation of a line, and proving what a shape is - real exam questions with their diagrams. Keep a calculator and some rough paper handy.
Question 1 of 15
Maths Maestrifx‑MAESTRI · NATURAL DISPLAY
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What this quiz covers
Grade 10 Analytical Geometry Quiz 1 draws its questions at random from 43 questions across these topics:
Distance
Proving shapes
Midpoint
Gradient
Area and perimeter
Parallel and perpendicular lines
Equation of a line
Collinear points
Example questions
A sample of the questions you will practise in this quiz. Work them out yourself - the full solution appears after you answer each one.
Triangle ABC has vertices A(1 ; 1), B(3 ; 6) and C(6 ; 3). What is the length of AB?
Triangle ABC has vertices A(1 ; 1), B(3 ; 6) and C(6 ; 3). Which statement proves that triangle ABC is isosceles?
ADCB is a kite with A(3 ; 5) and B(−1 ; −4). AD is parallel to the x-axis and AD = 5 units. CD is perpendicular to the x-axis and C is on the x-axis. The diagonals meet at P. What are the co-ordinates of C?
ADCB is a kite with A(3 ; 5) and B(−1 ; −4). AD is parallel to the x-axis and AD = 5 units. CD is perpendicular to the x-axis and C is on the x-axis. The diagonals meet at P. What are the co-ordinates of P, where the diagonals meet?
ADCB is a kite with A(3 ; 5) and B(−1 ; −4). AD is parallel to the x-axis and AD = 5 units. CD is perpendicular to the x-axis and C is on the x-axis. The diagonals meet at P. What is the gradient of BD?