Concept explainers
(a)
To find: Whether the triangle are congruent if they have same perimeter.
(a)
Answer to Problem 22E
No, the triangle may or may not be congruent if they have the same perimeter.
Explanation of Solution
Given:
The given statement is “If two triangles have the same perimeter, then they are congruent”.
No, the triangle may or may not be congruent if they have the same perimeter.
Hence, the statement is false.
(b)
To find: Whether the perimeter are equal if they have are congruent.
(b)
Answer to Problem 22E
Yes, if the triangles are congruent then they always have the same perimeter.
Explanation of Solution
Given:
The given statement is “If two triangles are congruent, then they have the same area”.
Yes, if the triangles are congruent then they always have the same perimeter.
Hence, the given statement is true.
Chapter 12 Solutions
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