Class 7 Exam > Class 7 Notes > Mathematics (Ganita Prakash) Class 7 - New NCERT > Very Short Question Answers: A Tale of Three Intersecting Lines
Class 7 Maths Chapter 7 Very Short Question Answer - A Tale of Three Intersecting Lines
Q1: Can a triangle exist with side lengths 4 cm, 5 cm, and 10 cm?
Ans: No.
Explanation: Apply the triangle inequality: 4 + 5 = 9 < 10, so the condition fails. A triangle cannot exist.
Q2: What is the third angle in a triangle with angles 35 degrees and 65 degrees?
Ans: 80 degrees.
Explanation: The angle sum property gives:
35° + 65° + Angle 3 = 180°.
Thus, Angle 3 = 180° - 100° = 80°
Q3: Is a triangle with side lengths 7 cm, 7 cm, and 7 cm equilateral?
Ans: Yes.
Explanation: All sides are equal (7 cm), so by definition, the triangle is equilateral.
Q4: Find the exterior angle at vertex B in triangle ABC if angle A = 40 degrees and angle C = 60 degrees.
Ans: 100°.
Explanation: First, angle B = 180° - (40° + 60°) = 80°.
The exterior angle at B is 180° - 80° = 100°.
Q5: If two sides of a triangle are 6 cm and 8 cm, what is the minimum integer length of the third side?
Ans: 3 cm
Explanation: The triangle inequality requires 6 + x > 8, so x > 2.
The smallest integer is 3 cm.
Q6: In triangle DEF, if angle D = 90 degrees and angle E = 45 degrees, what is angle F?
Ans: 45°.
Explanation: Angle sum: 90°+ 45° + Angle F = 180°.
Thus, Angle F = 180° - 135° = 45°.
Q7: Can a triangle have angles 50 degrees, 60 degrees, and 80 degrees?
Ans: No
Explanation: Sum of angles:
50 + 60 + 80 = 190 > 180, so a triangle cannot exist with these angles.
Q8: What is the largest possible integer length of the third side in a triangle with sides 5 cm and 9 cm?
Ans: 13 cm.
Explanation: Triangle inequality: 5 + 9 > x, so x < 14.
The largest integer is 13 cm.
Q9 Classify a triangle with angles 30 degrees, 60 degrees, and 90 degrees by angle type.
Ans: Right-angled.
Explanation: One angle is 90 degrees, so the triangle is right-angled.
Q10: In triangle XYZ, if angle X = angle Y and angle Z = 50 degrees, what is angle X?
Ans: 65°.
Explanation: Since angle X = angle Y, let each be x.
Angle sum: x + x + 50° = 180°.
Thus, 2x = 130°
⇒ x = 65°.
The document Class 7 Maths Chapter 7 Very Short Question Answer - A Tale of Three Intersecting Lines is a part of the Class 7 Course Mathematics (Ganita Prakash) Class 7 - New NCERT.
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FAQs on Class 7 Maths Chapter 7 Very Short Question Answer - A Tale of Three Intersecting Lines
| 1. What are the key concepts of a tale of three intersecting lines? |  |
Ans.A tale of three intersecting lines primarily involves the concepts of lines, angles, and intersection points. It explores how three lines can intersect at one point, creating angles and various geometric shapes.
| 2. How do intersecting lines create angles? | |
Ans.Intersecting lines create angles where they cross each other. The angle formed between any two lines can be measured in degrees, and the sum of angles around a point is 360 degrees.
| 3. Can three lines intersect at more than one point? | |
Ans.No, three lines can intersect at only one point if they are concurrent. If they intersect at more than one point, they are considered to be the same line or parallel, which is a different scenario.
| 4. What are the types of angles formed by intersecting lines? | |
Ans.The types of angles formed by intersecting lines include vertical angles, which are equal to each other, and adjacent angles, which are supplementary, meaning they add up to 180 degrees.
| 5. Why is understanding intersecting lines important in geometry? | |
Ans.Understanding intersecting lines is crucial in geometry because it helps in solving problems related to angles, shapes, and various geometric figures, which are foundational for more complex concepts in mathematics.
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