Geometry Worksheet: Parallel, Perpendicular and Intersecting Lines, Lecture notes of Calculus

A geometry worksheet designed for students to learn about parallel, perpendicular, and intersecting lines. It includes instructions to create different line designs on a geoboard using colored rubber bands and record the results using pencils. The students are asked to identify and explain the properties of parallel, perpendicular, and intersecting lines, and create letters with these line properties.

Typology: Lecture notes

2021/2022

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Parallel, Perpendicular & Intersecting Lines
Parallel Lines are lines that are always the same distance apart. They will never
cross or intersect. Make 2 parallel lines on your geoboard. Make 3 lines on your
geoboard that are all parallel.
Intersecting Lines are lines that intersect or cross each other. Make 2 intersecting
lines on your geoboard.
Perpendicular Lines are special intersecting lines. Where they cross, they form a
right angle. Make 2 lines on your geoboard that are perpendicular.
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Parallel, Perpendicular & Intersecting Lines

Parallel Lines are lines that are always the same distance apart. They will never cross or intersect. Make 2 parallel lines on your geoboard. Make 3 lines on your geoboard that are all parallel.

Intersecting Lines are lines that intersect or cross each other. Make 2 intersecting lines on your geoboard.

Perpendicular Lines are special intersecting lines. Where they cross, they form a right angle. Make 2 lines on your geoboard that are perpendicular.

Dots & Lines Gameboard

Blue Team (^) ---------------- Red Team-----------------

Parallel Lines

Parallel Lines

NAME

Set C1 * Independent Worksheet 1

Lines & Designs 1 Fill in the bubbles in front of the words that describes each set of lines below. Then explain your answer. How do you know? The first one is done for you.

example

  • intersecting lines 0 parallel lines 0 perpendicular lines How do you know? I know these are intersecting lines because +hey cross. I know +heyre not perpendicular because +hey don't cross a+ right angles.

b

0 intersecting lines 0 parallel lines 0 perpendicular lines How do you know?

a

0 intersecting lines 0 parallel lines 0 perpendicular lines How do you know?

C

0 intersecting lines 0 parallel lines 0 perpendicular lines How do you know?

Independent Worksheet 1 Lines & Designs (cont.)

2 Get a geoboard and some colored rubber bands. Use them to make each of the designs described below. Then use regular and colored pencils to record your work on this sheet.

example Make a design with 6 gray a Make a design with 6 red intersect- parallel lines. ing lines.

  • • • • •
  • • • • •
  • • • • •
  • • • • •
  • • • • •

b Make a horizontal blue line all C Make a yellow diagonal line all the

the way across the board. Then add 4 way across the board. Then add 4 blue green lines that are all perpendicular lines that intersect with the yellow line. to the blue line.

  • • • • •
  • • • • • (^) • • • • •
  • • • • • (^) • • • • •
  • • • • • (^) • • • • •
  • • • • • (^) • • • • •
  • • • • •

Independent Worksheet 2 Alphabet Lines (cont.)

2 Then Lani said, "The two lines in the first letter of my name are perpendicu lar. You can see that they meet at a right angle on the board."

  • • • • •
  • • • • •
  • • • • •
  • • • • •

On your geoboard, make 4 other capital letters that have perpendicular lines. Re- cord your work below. Draw arrows to show where the lines meet at right angles.

  • • • • • •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •
  • • • • • •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •
  • • • • • •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •
  • • • • • •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •
  • • • • • •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •^ •

3 Then Xavier said, "I think the first letter of my name has intersecting lines."

a Do you agree with him? Why or why not? If you do, draw an arrow to show where the 2 lines intersect.

Independent Worksheet 2 Alphabet Lines (cont.)

3b Circle the letter that has 2 intersecting lines.

C (^) J X s

4 Write the first letter of your first name in this box. Label it to show any lines that are parallel, perpendicular, or intersecting. If the first letter of your first name is completely curved (like O or C), choose a different letter in your first or last name that has straight lines.

5 Circle True or False to show which statements below correctly descibe these lines.

a The two lines above are parallel.

b The two lines above are pependicular.

C The two lines above are interesecting.

True True True

False False False

6 Two lines that are not parallel and not perpendicular are called oblique lines. Circle all the pairs of oblique lines below.

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