Class 7 Exam > Class 7 Notes > Mathematics (Ganita Prakash) Class 7 - New NCERT > Unit Test: Parallel and Intersecting Lines
Unit Test: Parallel and Intersecting Lines | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download
Time: 1 hour
M.M. 30
Attempt all questions.
- Question numbers 1 to 5 carry 1 mark each.
- Question numbers 6 to 8 carry 2 marks each.
- Question numbers 9 to 11 carry 3 marks each.
- Question number 12 & 13 carry 5 marks each.
Directions: Questions 1–5 refer to the figure below. For each given pair of lines, identify whether they are parallel, perpendicular, or intersecting
Q1. Lines FQ and HT are ___________ lines. (1 Mark)
Q2. Lines FQ and MW are ___________ lines. (1 Mark)
Q3. Lines CN and FQ are ___________ lines. (1 Mark)
Q4. Lines DZ and YG are ___________ lines. (1 Mark)
Q5. Lines CN and YG are ___________ lines. (1 Mark)
Q6. Write down each pair of adjacent angles shown in the following figure (2 Mark)
Q7. In given figure, if ∠c is 120°, figure out the measurements of ∠a, ∠b, and ∠d, without drawing and measuring them? (2 Mark)
Q8. Two angles form a straight line. One angle measures 102°. What is the other? (2 Mark)
Q9. State which lines are parallel and why? (3 Mark)
Q10.List all the linear pairs and vertically opposite angles you observe in Figure. (3 Mark)
Q11. Find the measure of angle a (3 Mark)
Q12. In the given figure, l || m and t is a transversal. If ∠1 = 55°, find ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8. (5 Mark)
Q13. Find whether the lines AB and CD are parallel or not. (5 Mark)
The document Unit Test: Parallel and Intersecting Lines | Mathematics (Ganita Prakash) Class 7 - New NCERT is a part of the Class 7 Course Mathematics (Ganita Prakash) Class 7 - New NCERT.
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FAQs on Unit Test: Parallel and Intersecting Lines - Mathematics (Ganita Prakash) Class 7 - New NCERT
| 1. What are parallel lines and how can they be identified? |  |
Ans. Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended. They are always the same distance apart. To identify parallel lines, you can check if they have the same slope when expressed in slope-intercept form (y = mx + b), where m represents the slope. If two lines have equal slopes, they are parallel.
| 2. What are intersecting lines and what is their significance? | |
Ans. Intersecting lines are lines that cross each other at a point called the point of intersection. The significance of intersecting lines lies in their ability to create angles, which can be measured and analyzed in various geometric applications. Understanding how lines intersect helps in solving problems related to angles and shapes.
| 3. How can the angles formed by two intersecting lines be classified? | |
Ans. The angles formed by two intersecting lines can be classified into four types: vertical angles, which are opposite each other and equal; adjacent angles, which share a common side; complementary angles, which sum up to 90 degrees; and supplementary angles, which sum up to 180 degrees. Each type has unique properties that are useful in geometry.
| 4. What is the relationship between parallel lines and transversal lines? | |
Ans. When a transversal line crosses two parallel lines, several angles are formed. The corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary (sum to 180 degrees). This relationship is crucial for understanding how angles behave in geometric figures and solving related problems.
| 5. Why is the concept of parallel and intersecting lines important in real-life applications? | |
Ans. The concepts of parallel and intersecting lines are important in various real-life applications, such as architecture, engineering, and design. Understanding these lines helps in creating structures that are stable and visually appealing. Additionally, they are fundamental in navigation, computer graphics, and many other fields where spatial relationships are essential.
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