Concept explainers
To find: The counterexample for the given statement.
Answer to Problem 53HP
The counter-example is that all rectangles are similar as the hypothesis is true and the conclusion false.
Explanation of Solution
Consider that the two polygons are similar when the corresponding
Consider the following rectangles is shown in Figure 1
Figure 1
By the theorem of similar
Then, compare the angles as,
Since,
Thus, the counter-example is that all rectangles are similar as the hypothesis is true and the conclusion false.
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