(a)
Describe the transformations that are combined to create each carpet pattern shown.
(a)
Answer to Problem 4CYP
Composition of two reflections along intersecting lines.
Explanation of Solution
Given:
Calculation:
Notice the given pattern, it is rotation .
The pattern is created by composition of two reflections in the shown intersecting lines.
First the reflection along horizontal , then the reflection of whole right side figure along vertical line.
(b)
Describe the transformations that are combined to create each carpet pattern shown.
(b)
Answer to Problem 4CYP
Composition of two reflections in parallel lines.
Explanation of Solution
Given:
Calculation:
Notice the given pattern, it is created by successive translations of the first two columns .
m p
This pattern can be created by combining two reflections in lines m and p as shown. First reflection is along m , then the created 2 columns are reflected along p .
Hence, it can be formed by composition of two reflections in parallel lines.
Chapter 9 Solutions
Geometry, Student Edition
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