Maharashtra Board Class 7 Chapter 4 Set 18 Angles and Pairs of Angles Solutions

Question 1. Name the pairs of opposite rays in the figure alongside.
ℹ️ चित्र व्याख्या (Diagram Explanation): एक बिंदु P से निकलने वाली चार किरणें L, T, N, M हैं। किरण PL और PM एक सीधी रेखा बनाती हैं, जबकि PN और PT भी एक सीधी रेखा बनाती हैं। यह एक चौराहे पर स्थित दो सीधी रेखाओं को दर्शाता है जहाँ P प्रतिच्छेदन बिंदु है।
Answer:
1. Ray PL and ray PM
2. Ray PN and ray PT
In simple words: Opposite rays start from the same point and extend in exactly opposite directions, forming a straight line. In this figure, PL and PM form one pair, and PN and PT form another pair.

🎯 Exam Tip: To identify opposite rays, always look for two rays that share a common endpoint and form a straight line. Visualizing the straight line is key to scoring. Avoid confusion by clearly marking the common vertex.

Question 2. Are the ray PM and PT opposite rays? Give reasons for your answer.
ℹ️ चित्र व्याख्या (Diagram Explanation): एक बिंदु P से निकलने वाली चार किरणें L, T, N, M हैं। किरण PM और PT अलग-अलग दिशाओं में जा रही हैं लेकिन एक सीधी रेखा नहीं बनाती हैं। यह एक चौराहे पर दो किरणों को दर्शाता है।
Answer:
No.
Ray PM and Ray PT do not form a straight line and hence are not opposite rays.
In simple words: No, rays PM and PT are not opposite rays because they do not form a straight line. Opposite rays must extend in directly opposite directions from a common endpoint.

🎯 Exam Tip: Remember that opposite rays must be collinear and extend in opposite directions from a common origin. If they don't form a straight line, they are not opposite rays. Clearly state both "No" and the reason for full marks.

Maharashtra Board Class 7 Maths Chapter 4 Angles And Pairs Of Angles Practice Set 18 Intext Questions And Activities

Question 1. Observe the adjacent figure and answer the following questions. (Textbook pg. no. 28)
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक कोण ABC को दर्शाता है, जहाँ B शीर्ष बिंदु है और BA तथा BC भुजाएँ हैं। किरण BA बिंदु B से A की ओर और किरण BC बिंदु B से C की ओर जा रही है।
1. Name the rays in the figure alongside.
2. Name the origin of the rays
3. Name the angle in the given figure
Answer:
1. Ray BA and ray BC
2. Point B
3. ∠ABC or ∠CBA
In simple words: The figure shows an angle. The rays forming the angle are BA and BC, both originating from point B. The angle formed is ∠ABC or ∠CBA.

🎯 Exam Tip: When naming rays, always start with the origin point. The origin of rays in an angle is also its vertex. Angles can be named using three letters with the vertex in the middle, or by just the vertex if it's unambiguous.

Question 2. Observe the adjacent figure and answer the following questions. (Textbook pg. no. 28)
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक कोण ABC को दर्शाता है, जहाँ B शीर्ष बिंदु है और BA तथा BC भुजाएँ हैं। यह कोण एक चाप से चिह्नित है जो कोण के फैलाव को दर्शाता है।
1. Name the angle in the figure alongside.
2. Name the rays whose origin is point B
Answer:
1. ∠ABC or ∠CBA
2. Ray BA and ray BC
In simple words: This figure displays an angle. The angle is named ∠ABC or ∠CBA, with point B as its vertex. The two rays originating from point B that form this angle are ray BA and ray BC.

🎯 Exam Tip: Clearly identifying the vertex and the rays is fundamental for correctly naming angles. Always ensure the vertex letter is in the middle when using three letters to denote an angle. Accuracy in naming ensures full points.