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sides can be marked with a single hatch mark on each. The second pair of congruent sides can be marked with two hatch marks each. The patterns are not alike: one pair uses one mark while the other pair uses two marks (Figure 1). This use of pattern makes it clear which sides are the same length, even
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may sometimes use hatch marks as graphed points. In the early days of computers, monitors and printers could only make charts using the characters available on a common typewriter. To graph a line chart of sales over time, symbols such as *, x, or | were used to mark points, and various characters
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Hatch marks are frequently used as an abbreviation of some common units of measurement. In regard to distance, a single hatch mark indicates feet, and two hatch marks indicate inches. In regard to time, a single hatch mark indicates minutes, and two hatch marks indicate seconds.
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were used to mark the lines connecting them. While computers have advanced considerably, it is still not unusual to see x or | used as the points of interest (or points of change) on a graph.
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Note that the inverse situation should not be assumed. That is, while sides that are hatch marked identically must be assumed to be congruent, it does not follow that sides hatch marked
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if the sides cannot be measured. If the sides do not appear to be congruent, as long as hatch marks are present and are the same number of hatch marks, then the sides are congruent.
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Hatch marks provide a visual clue as to the value of specific points on the number line, even if some hatch marks are not labeled with a number.
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in art works, where the pattern of the hatch marks represents a unique tone or hue. Different patterns indicate different tones.
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of each other. So, for example, while we are not allowed to conclude that the triangles in the accompanying figure
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Matching hatch marks are used here to indicate equal lengths. The two triangles are
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Hatch marks for congruence notation are in the style of
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Unit and value marks — as on a ruler or number line
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