MPM 2D GRADE 10 ACADEMIC
ANALYTIC GEOMETRY TEST 5
COM LEVEL
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K/U
APP
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Day 1
Knowledge and Understanding
[12 marks]
Show your full marks
1. Determine the midpoint of the line segment AB where A is at
(−6.5, 4) and B is at (8.5, −4).
This point is a fire hydrant on a town map. [4 marks]
 Determine the midpoint.
 Plot the point on the grid and label it C.
2. Line AB is called Autumn Hill Blvd. [4 marks]
 Determine the length of Autumn Hill Blvd.
 Plot the line and record the length on the map.
 Each unit on the map is equal to 1 km. Round your answer to the
nearest km.
THI
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3. Draw a circle around Autumn Hill Blvd. Determine the equation of
the circle so that each end
point of Autumn Hill Blvd lies inside the circle. [4 marks]
 Draw the circle on the map.
 Determine the equation of the circle.
 Label your circle.
Application
[6 marks]
4. A school has been built at a point D(2, −6). [6 marks]
 Determine the equation of the median from the school to Autumn
Hill Blvd.
 Plot the school and name it SLSS (STEPHEN LEWIS SECONDARY SCHOOL).
 Plot the median.
 Label the line CD with the name Pleasant Ridge.
5. A Pizza Pizza has been built close enough to school so that the
students, who have a car, can
quickly go buy lunch. This Pizza Pizza has been placed at (−2, −4).
A road needs to be made
using the shortest distance to Pleasant Ridge. [10 marks]
 Determine the distance, rounded to one decimal place, of the
road with the shortest distance
between Pizza Pizza and Pleasant Ridge.
 Plot the Pizza Pizza.
 Draw the new road.
 Label the point where the new road and Pizza Pizza meet as F.
6. Your family has decided to move near SLSS and you want to know if
you live on Pleasant Ridge.
You house is at (2, −4). [4 marks]
 Prove, mathematically, whether or not your house lies on
Pleasant Ridge.
 Plot tpur house on the map and label it “house”.
Day 2