a
To find: The coordinate of K.
a
Answer to Problem 8PSA
The coordinate of K : (0, 9)
Explanation of Solution
Given information
Formula used
Using dilation, coordinates will be 3 times
Calculation
Since, coordinates of H are (0, 3)
Using dilation ratio (3:1), we have coordinates of K : (0, 9)
b
To calculate: The lengths of sides of triangle OHJ
b
Answer to Problem 8PSA
The lengths of sides of triangle OJH are:3 units, 4 units, and 5 units
Explanation of Solution
Given information
Triangle OKM is a dilation of triangle OHJ, with a dilation ratio of 3:1 for each pair of corresponding sides
Formula used
Pythagoras theorem
Distance formula
Calculation
Coordinates of vertices of triangle OHJ are:
O: (0, 0); H: (0, 4) and J: (3, 0)
Therefore, sides of the triangle will be as:
c
To find:The lengths of sides of triangle OKM
c
Answer to Problem 8PSA
The lengths of sides of triangle OKM will be 9 units, 12 units and 15 units
Explanation of Solution
Given information
Triangle OKM is a dilation of triangle OHJ, with a dilation ratio of 3:1 for each pair of corresponding sides
Formula used
Using dilation ratio given
Calculation
Using dilation ratio of 3:1
Sides of the triangle will be three times of the lengths of sides of triangle OHJ, i.e.,
OK: 9 units; OM: 12 units and MK: 15 units
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Geometry For Enjoyment And Challenge
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