Question

worksheet 24
a. observe the figure given below and answer the following questions.

1. name the parallel lines.
2. name the lines intersecting at o.

b. observe the given figure and write whether the following statements are true or false.

1. line hi is parallel to line fg. false
2. line de and line hi are intersecting lines.
3. point o is the point of intersection of lines de and fg.

Explanation:

Step1: Identify parallel lines

Parallel lines are lines that never intersect. In the first figure, lines $AB$ and $CD$ are parallel, and lines $CD$ and $EF$ are parallel, and lines $AB$ and $EF$ are parallel.

Step2: Identify intersecting lines at O

Lines that meet at point O in the first figure are $KP$, $MN$, $LQ$ and the horizontal - vertical lines passing through O.

Step3: Analyze statements in part B

For statement 2 in part B, from the second figure, we can see that line $DE$ and line $HI$ intersect at a point, so it is true. For statement 3 in part B, from the second figure, point O is the intersection of lines $FG$ and $HI$, not $DE$ and $FG$, so it is false.

Answer:

1. $AB\parallel CD$, $CD\parallel EF$, $AB\parallel EF$
2. $KP$, $MN$, $LQ$ and the horizontal - vertical lines passing through O

B - 2) true
B - 3) false