Exercises Find the coordinates of the vertices of the figure after a dilation with the given scale factor k. Then graph the original image and the dilation. 1. W(-1, 4), X(1, 2), Y(-2, 1); k= 3 2. BOXES Janelle has a box that measures 4 feet by 3 feet. She needs a box similar to this one that measures 2 feet by 1.5 feet. What is the scale factor of the dilation?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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Еxample 3
BIKES Zach has a toy bicycle that is 2 inches tall. An actual tricycle that is 16 inches tall. What is the scale factor of
the dilation?
Write a ratio comparing the heights of the two bicycles.
height of actual
height of toy
16
= 8
So, the scale factor of the dilation is 8.
Exercises
Find the coordinates of the vertices of the figure after a dilation with the given scale factor k. Then graph the
original image and the dilation.
1. W(-1, 4), X(1, 2), Y(-2, 1); k=3
2. BOXES Janelle has a box that measures 4 feet by 3 feet. She needs a box similar to this one that measures 2 feet by
1.5 feet. What is the scale factor of the dilation?
Course 3. Chapter 6 Transfomations
97
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