Introduction to Lines and Angles : āϏ⧰āϞ⧰ā§āĻāĻž āĻā§°ā§ āĻā§āĻŖā§° āĻĒā§°āĻŋāĻāϝāĻŧ
Point (āĻŦāĻŋāύā§āĻĻā§)
A point determines a location. It has no size. āĻŦāĻŋāύā§āĻĻā§ā§ąā§ āĻāĻāĻž āĻ ā§ąāϏā§āĻĨāĻžāύ āύāĻŋā§°ā§āϧāĻžā§°āĻŖ āĻā§°ā§āĨ¤ āĻāϝāĻŧāĻžā§° āĻā§āύ⧠āĻāĻāĻžā§° āύāĻžāĻĨāĻžāĻā§āĨ¤
Example | āĻāĻĻāĻžāĻšā§°āĻŖ: A dot (• P)
Line (āϏ⧰āϞ⧰ā§āĻāĻž)
A line extends infinitely in both directions. It has no endpoints.
āϏ⧰āϞ⧰ā§āĻāĻž āĻĻā§āϝāĻŧā§āĻĢāĻžāϞ⧠āĻ
āϏā§āĻŽāϞ⧠āĻŦāĻŋāϏā§āϤā§āϤ āĻšāϝāĻŧāĨ¤ āĻāϝāĻŧāĻžā§° āĻā§āύ⧠āĻļā§āώāĻŦāĻŋāύā§āĻĻā§ āύāĻžāĻĨāĻžāĻā§āĨ¤
Example | āĻāĻĻāĻžāĻšā§°āĻŖ: ↔ AB
Ray (ā§°āĻļā§āĻŽāĻŋ)
A ray has one endpoint and extends infinitely in one direction. ā§°āĻļā§āĻŽāĻŋā§° āĻāĻāĻž āĻļā§āώāĻŦāĻŋāύā§āĻĻā§ āĻĨāĻžāĻā§ āĻā§°ā§ āĻ āĻāĻāĻž āĻĻāĻŋāĻļāϤ āĻ āϏā§āĻŽāϞ⧠āĻŦāĻŋāϏā§āϤā§āϤ āĻšāϝāĻŧāĨ¤
Example | āĻāĻĻāĻžāĻšā§°āĻŖ: → CD
Line Segment (ā§°ā§āĻāĻžāĻāĻŖā§āĻĄ)
A line segment is a part of a line with two fixed endpoints. ā§°ā§āĻāĻžāĻāĻŖā§āĻĄ āĻšā§āĻā§ āϏ⧰āϞ⧰ā§āĻāĻžā§° āĻāĻāĻž āĻ āĻāĻļ, āϝāĻžā§° āĻĻā§āĻāĻž āύāĻŋā§°ā§āĻĻāĻŋāώā§āĻ āĻļā§āώāĻŦāĻŋāύā§āĻĻā§ āĻĨāĻžāĻā§āĨ¤
Example | āĻāĻĻāĻžāĻšā§°āĻŖ: E âââââ F
Angle (āĻā§āĻŖ)
An angle is formed when two rays meet at a common point called the vertex. The rays are called the arms of the angle. āϝā§āϤāĻŋāϝāĻŧāĻž āĻĻā§āĻāĻž ā§°āĻļā§āĻŽāĻŋ āĻāĻāĻž āϏāĻžāϧāĻžā§°āĻŖ āĻŦāĻŋāύā§āĻĻā§āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧ, āϤā§āϤāĻŋāϝāĻŧāĻž āĻāĻāĻž āĻā§āĻŖ āϏā§āώā§āĻāĻŋ āĻšāϝāĻŧāĨ¤ āϏā§āĻ āϏāĻžāϧāĻžā§°āĻŖ āĻŦāĻŋāύā§āĻĻā§āĻā§āĻ āĻļā§ā§°ā§āώāĻŦāĻŋāύā§āĻĻā§ (Vertex) āĻā§°ā§ ā§°āĻļā§āĻŽāĻŋāĻĻā§āĻā§āĻ āĻā§āĻŖā§° āĻŦāĻžāĻšā§ (Arms) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
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- Types of Angles : āĻā§āĻŖā§° āĻĒā§ā§°āĻāĻžā§° : Click Here
- Complementary Angles (āĻĒā§ā§°āĻ āĻā§āĻŖ) // Adjacent complementary angles. (āϏāύā§āύāĻŋāĻšāĻŋāϤ āĻĒā§ā§°āĻ āĻā§āĻŖāĨ¤ : Click Here
- Supplementary Angles (āϏāĻŽā§āĻĒā§ā§°āĻ āĻā§āĻŖ) & Adjacent supplementary angles (āϏāύā§āύāĻŋāĻšāĻŋāϤ āϏāĻŽā§āĻĒā§ā§°āĻ āĻā§āĻŖ) : Click Here
- Adjacent Angles & Linear Pair (āϏāύā§āύāĻŋāĻšāĻŋāϤ āĻā§āĻŖ āĻā§°ā§ ā§°ā§āĻāĻŋāĻ āĻā§āĻŖāϝā§ā§°) : Click Here
- Vertically Opposite Angles (āĻŦāĻŋāĻĒā§°ā§āϤ āĻļā§ā§°ā§āώ āĻā§āĻŖ) : Click Her
- Pairs of Lines (āϏ⧰āϞ⧰ā§āĻāĻžā§° āϝā§ā§°) // Parallel Lines (āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻž) : Click Here
- Pairs of Lines (āϏ⧰āϞ⧰ā§āĻāĻžā§° āϝā§ā§°) : Click Here
- Transversal (āĻā§āĻĻāĻ āϏ⧰āϞ⧰ā§āĻāĻž) : Click Here
- Angles Made by a Transversal : āĻā§āĻĻāĻ āϏ⧰āϞ⧰ā§āĻāĻžāĻ āϏā§āώā§āĻāĻŋ āĻā§°āĻž āĻā§āĻŖāϏāĻŽā§āĻš : Click Here
- Check the Parrallel Line (āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āϏ⧰āϞ⧰ā§āĻāĻž āĻĒā§°ā§āĻā§āώāĻž āĻā§°āĻ) : Solved Examples: : Click Here
MCQs
1. A point has ______. / āĻāĻāĻž āĻŦāĻŋāύā§āĻĻā§ā§° ______āĨ¤
(a) Length (b) Breadth (c) No size (d) Endpoints
Ans: (c) No size
2. A line extends infinitely in ______. / āϏ⧰āϞ⧰ā§āĻāĻž ______ āĻ
āϏā§āĻŽāϞ⧠āĻŦāĻŋāϏā§āϤā§āϤ āĻšāϝāĻŧāĨ¤
(a) One direction (b) Both directions (c) Three directions (d) No direction
Ans: (b) Both directions
3. A ray has ______ endpoint(s). / āĻāĻāĻž ā§°āĻļā§āĻŽāĻŋā§° ______ āĻāĻž āĻļā§āώāĻŦāĻŋāύā§āĻĻā§ āĻĨāĻžāĻā§āĨ¤
(a) No (b) One (c) Two (d) Three
Ans: (b) One
4. A line segment has ______ fixed endpoints. / āĻāĻāĻž āϰā§āĻāĻžāĻāĻŖā§āĻĄā§° ______ āĻāĻž āύāĻŋā§°ā§āĻĻāĻŋāώā§āĻ āĻļā§āώāĻŦāĻŋāύā§āĻĻā§ āĻĨāĻžāĻā§āĨ¤
(a) No (b) One (c) Two (d) Infinite
Ans: (c) Two
5. The common point where two rays meet is called the ______. / āĻĻā§āĻāĻž ā§°āĻļā§āĻŽāĻŋ āϝāĻŋ āϏāĻžāϧāĻžā§°āĻŖ āĻŦāĻŋāύā§āĻĻā§āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧ, āϤāĻžāĻ ______ āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
(a) Arm (b) Vertex (c) Line (d) Segment
Ans: (b) Vertex