Construction of Parallel Lines - 6th Maths Term 2 Unit 4 Geometry
Chapter: 6th Maths : Term 2 Unit 4 : Geometry
Construction of Parallel Lines
Construction of Parallel Lines
Place a scale on a paper and draw lines along both the edges of the scale as shown.
Place the set square at two different points on \( \ell_1 \) and find the distance between \( \ell_1 \) and \( \ell_2 \). Are they equal? Yes. Thus, the perpendicular distance between a set of parallel lines remains the same.
Note: Parallel line segments need not be of equal length.
Think: Identify the parallel lines in English alphabets (Capital Letters) and list the letters. Examples: E, F, H, I, L, M, N, Z.
Example 7:
Draw a line segment AB = 6.5 cm and mark a point M above it. Through M draw a line parallel to AB.
Step 1: Draw a line. Mark two points A and B on the line such that AB = 6.5 cm. Mark a point M anywhere above the line.
Step 2: Place the set square below AB in such a way that one of the edges that form a right angle lies along AB. Place the scale along the other edge of the set square as shown in the figure.
Step 3: Holding the scale firmly, Slide the set square along the edge of the scale until the other edge of the set square reaches the point M. Through M draw a line as shown.
Step 4: The line MN is parallel to AB. That is, MN || AB.
Example 8:
Draw a line and mark a point R at a distance of 4.8 cm above the line. Through R draw a line parallel to the given line.
Step 1: Using a scale draw a line AB and mark a point Q on the line.
Step 2: Place the set square in such a way that the vertex of the right angle coincides with Q and one of the edges of right angle lies along AB. Mark the point R such that QR = 4.8 cm.
Step 3: Place the scale and the set square as shown in the figure.
Step 4: Hold the scale firmly and slide the set square along the edge of the scale until the other edge touches the point R. Draw a line RS through R.
Step 5: The line RS is parallel to AB. That is, RS || AB.
ICT CORNER: GEOMETRY
Expected Outcome: Interactive learning of triangle types and line construction.
Step 1: Open the Browser and type the URL Link https://ggbm.at/dPXHSSTF or Scan the QR Code. GeoGebra work sheet named “Geometry” will open with activities for triangle types, perpendicular and parallel construction.
