Q(ii). Irfan's team is still at the ticket counter and they want to reach kids park. What is the shortest distance that they can travel? (One unit= 100m)
(Hint: -use property of right angles triangle and Pythagoras theorem)
Q(iii). After enjoying at Science Explorium, John's team went to Energy park. What shortest distance they covered? (One unit= 100m)
Q(iv). Location of bus parking is reflection of location of car parking in y-axis. Find two locations which are exact reflection of each other in x-axis.
Answers
Given : Layout plan of science city , (One unit= 100m)
To find : shortest distance traveled from ticket counter to kids park.
shortest distance from Science Explorium, to Energy park
locations which are exact reflection of each other in x-axis.
Solution:
. Irfan's team is at ticket counter (0,0)
want to reach kids park. (2 , 2)
minimum distance = √(2 - 0)² + (2-0)² = 2√2 units
1 unit= 100m
Hence shortest distance to travel for irfan team from ticket counter to kids parks = 2√2 * 100 = 200√2 m
Science Explorium, ( 1, 4)
Energy park = (-2.4)
Distance = √(-2 - 1)² + (4-4)² = 3 units
1 unit= 100m
shortest distance covered by john's team from science explorium to energy park = 3 * 100 = 300 m
Location of Car parking (3 , -1) & Dome theater ( 3, 1) are exact reflection of each other in x-axis
(3,-1 ) & ( 3 , 1)
in reflection of x -axis x axis remain same and y axis sign changes
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