Let's solve each part of the problem step by step based on the given figure.
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1) Which is the longest line segment?
To determine the longest line segment, we need to visually compare the lengths of all the line segments in the figure. The line segments are:
- \( AB \)
- \( CD \)
- \( EF \)
- \( BD \)
- \( CF \)
- \( DE \)
- \( BF \)
- \( AE \)
From the figure, it appears that the longest line segment is \( AB \).
Answer:
\[
\boxed{AB}
\]
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2) How many rays are shown in the above figure?
A ray is a part of a line that starts at a point and extends infinitely in one direction. In the figure, rays are indicated by arrows. Let's identify them:
- Ray starting at \( A \) and extending to the left.
- Ray starting at \( B \) and extending to the right.
- Ray starting at \( C \) and extending downward.
- Ray starting at \( D \) and extending upward.
- Ray starting at \( E \) and extending downward.
- Ray starting at \( F \) and extending downward.
There are
6 rays in total.
Answer:
\[
\boxed{6}
\]
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3) Define lines? Name of the lines from the above figure.
A line is a straight path that extends infinitely in both directions. In the figure, lines are indicated by double-headed arrows. Let's identify them:
- Line \( AB \): Extends infinitely in both directions through points \( A \) and \( B \).
- Line \( CD \): Extends infinitely in both directions through points \( C \) and \( D \).
- Line \( EF \): Extends infinitely in both directions through points \( E \) and \( F \).
Answer:
\[
\boxed{AB, CD, EF}
\]
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4) Two parallel Lines
Parallel lines are lines that never intersect and are always the same distance apart. From the figure, we can see that lines \( AB \) and \( EF \) are parallel because they do not intersect and appear to be equidistant throughout their lengths.
Answer:
\[
\boxed{AB \text{ and } EF}
\]
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5) Two perpendicular Lines
Perpendicular lines are lines that intersect at a right angle (90 degrees). From the figure, we can see that lines \( CD \) and \( EF \) intersect at a right angle.
Answer:
\[
\boxed{CD \text{ and } EF}
\]
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6) Line \( CD \) intersects line
Line \( CD \) intersects another line at point \( F \). The line that \( CD \) intersects is \( EF \).
Answer:
\[
\boxed{EF}
\]
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Final Answers:
1. Longest line segment: \(\boxed{AB}\)
2. Number of rays: \(\boxed{6}\)
3. Names of the lines: \(\boxed{AB, CD, EF}\)
4. Two parallel lines: \(\boxed{AB \text{ and } EF}\)
5. Two perpendicular lines: \(\boxed{CD \text{ and } EF}\)
6. Line \( CD \) intersects: \(\boxed{EF}\)
Parent Tip: Review the logic above to help your child master the concept of line segment worksheet 4th grade.
