Question
Which statement is not necessarily true?
Given:modifying above upper D upper E with two-way-arrowis theperpendicular bisector of .
The horizontal segment upper J upper L is shown intersecting with the vertical segment upper D upper E at point upper K.
(1 point)
Responses
DK = KE
DK = KE
The term shows the line segment DE.perpendicular to
Image with alt text: The term shows the line segment DE. Image with alt text: perpendicular to Image with alt text:
K is the midpoint of.
K is the midpoint of Image with alt text: .
DJ = DL
DJ = DL
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The statement "DJ = DL" is not necessarily true.
The statement "DJ = DL" is not necessarily true.
To determine which statement is not necessarily true, we need to understand the given information and concepts involved.
From the given information, we have a perpendicular bisector of line segment DE. This means that the line passing through point K, which is the intersection of segments JL and DE, is perpendicular to DE and halves it. Therefore, statement (1) "DK = KE" is true because K is the midpoint of DE.
Now let's analyze statement (2) "K is the midpoint of." Since the given statement does not specify which line segment K is the midpoint of, it is not necessarily true. Without further information, we cannot determine whether K is the midpoint of any specific line segment. Therefore, statement (2) is the answer as the statement that is not necessarily true.