Transversal (āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻž)


A line that intersects two or more lines at distinct points is called a transversal.
āĻāϟāĻž āϏ⧰āϞ⧰⧇āĻ–āĻžāχ āϝāĻĻāĻŋ āĻĻ⧁āϟāĻž āĻŦāĻž āϤāĻžāϤāĻ•ā§ˆ āĻ…āϧāĻŋāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāĻ• āĻĒ⧃āĻĨāĻ• āĻĒ⧃āĻĨāĻ• āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āϛ⧇āĻĻ āϕ⧰⧇, āϤ⧇āĻ¨ā§āϤ⧇ āϤāĻžāĻ• āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻž (Transversal) āĻŦā§‹āϞāĻž āĻšāϝāĻŧāĨ¤



In the figure, line (t) is a transversal to lines (l) and (m).
āϚāĻŋāĻ¤ā§ā§°āϤ, (t) āϏ⧰āϞ⧰⧇āĻ–āĻž (l) āφ⧰⧁ (m) āϏ⧰āϞ⧰⧇āĻ–āĻžā§° āĻāϟāĻž āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāĨ¤


Note: A transversal cuts two or more lines at distinct points. āĻāϟāĻž āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāχ āĻĻ⧁āϟāĻž āĻŦāĻž āϤāĻžāϤāĻ•ā§ˆ āĻ…āϧāĻŋāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāĻ• āĻĒ⧃āĻĨāĻ• āĻĒ⧃āĻĨāĻ• āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āϛ⧇āĻĻ āϕ⧰⧇āĨ¤


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MCQs: Transversal


1. What is a transversal ? / āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻž (Transversal) āĻ•āĻŋ ?
(a) A line parallel to another line (b) A line that intersects two or more lines at distinct points (c) A curved line (d) A ray
Ans: (b) A line that intersects two or more lines at distinct points


2. How many angles are formed when a transversal cuts two lines ? / āĻāϟāĻž āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāχ āĻĻ⧁āϟāĻž āϏ⧰āϞ⧰⧇āĻ–āĻžāĻ• āϛ⧇āĻĻ āϕ⧰āĻŋāϞ⧇ āĻ•āĻŋāĻŽāĻžāύāϟāĻž āϕ⧋āĻŖ āϏ⧃āĻˇā§āϟāĻŋ āĻšāϝāĻŧ ?
(a) 4 (b) 6 (c) 8 (d) 10
Ans: (c) 8

 

3. In the figure, line tt is a ______ to lines ll and mm. / āϚāĻŋāĻ¤ā§ā§°āϤ, tt āϏ⧰āϞ⧰⧇āĻ–āĻž ll āφ⧰⧁ mm-ā§° ______āĨ¤
(a) Parallel line (b) Transversal (c) Ray (d) Line segment
Ans: (b) Transversal

 

4. A transversal intersects two or more lines at ______ points. / āĻāϟāĻž āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāχ āĻĻ⧁āϟāĻž āĻŦāĻž āϤāĻžāϤāĻ•ā§ˆ āĻ…āϧāĻŋāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžāĻ• ______ āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āϛ⧇āĻĻ āϕ⧰⧇āĨ¤
(a) Same (b) Distinct (c) Infinite (d) Equal
Ans: (b) Distinct

 

5. Which of the following is true about a transversal ? / āϛ⧇āĻĻāĻ• āϏ⧰āϞ⧰⧇āĻ–āĻžā§° āĻŦāĻŋāώāϝāĻŧ⧇ āϤāϞ⧰ āϕ⧋āύāĻŸā§‹ āϏāĻ āĻŋāĻ• ?
(a) It never intersects any line (b) It intersects only one line (c) It intersects two or more lines at distinct points (d) It is always parallel to other lines
Ans: (c) It intersects two or more lines at distinct points