8 वी - महाराष्ट्र बोर्ड - गणित टेस्ट - चॅप्टर 2 - Parallel Lines and their Transversals
8 वी - महाराष्ट्र बोर्ड - गणित टेस्ट - चॅप्टर 2 - Parallel Lines and their Transversals
6) Transversal मुळे तयार होणाऱ्या या 8 angles चे प्रामुख्याने 3 प्रकार पडतात.
7) Transversal च्या एकाच बाजूला असलेल्या आणि एकाच दिशेने जात असलेल्या angles ना Corresponding Angles म्हणतात.
8) Transversal मुळे Parallel Lines भोवती Corresponding Angles च्या 4 pairs तयार होतात.
9) Corresponding Angles च्या जोडीतील दोन्ही कोन Congruent असतात.
10) दोन Parallel Lines च्या आत तयार झालेल्या आणि Transversal च्या विरुद्ध बाजूला असलेल्या angles ना Interior Alternate Angles म्हणतात.
11) Transversal मुळे Parallel Lines भोवती Interior Alternate Angles च्या 2 pairs तयार होतात.
12) Interior Alternate Angles च्या जोडीतील दोन्ही कोन Congruent असतात.
13) दोन Parallel Lines च्या बाहेर तयार झालेल्या आणि Transversal च्या विरुद्ध बाजूला असलेल्या angles ना Exterior Alternate Angles म्हणतात.
14) Transversal मुळे Parallel Lines भोवती Exterior Alternate Angles च्या 2 pairs तयार होतात.
15) Exterior Alternate Angles च्या जोडीतील दोन्ही कोन Congruent असतात.
16) दोन Parallel Lines च्या आत तयार झालेल्या आणि Transversal च्या एकाच बाजूला असलेल्या angles ना Interior Angles म्हणतात.
17) Transversal मुळे Parallel Lines भोवती Interior Angles च्या 2 pairs तयार होतात.
18) दोन Parallel Lines भोवती तयार झालेल्या Interior Angles ची बेरीज 180 डिग्री असते.
19) यानंतर Set Square चा उपयोग करून दिलेल्या रेषेला Parallel Line काढ़ायला सांगितलं आहे.
Q1. What are lines in the same plane that do not intersect each other called?
A) Intersecting lines
B) Perpendicular lines
C) Parallel lines
D) Coincident lines
Q2. If a line intersects two given lines in two distinct points, then that line is called a ________ of those two lines.
A) Parallel line
B) Transversal
C) Median
D) Bisector
Q3. How many angles in total are formed when a transversal intersects two lines?
A) 4
B) 6
C) 8
D) 12
Q4. If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are:
A) Equal
B) Complementary
C) Supplementary
D) Vertically opposite
Q5. Pairs of angles which are on the same side of the transversal and their arms on the transversal show the same direction are called:
A) Alternate angles
B) Interior angles
C) Corresponding angles
D) Linear pair angles
Q6. If a transversal intersects two parallel lines, how many pairs of corresponding angles are formed?
A) 2
B) 4
C) 6
D) 8
Q7. The pair of angles which are on opposite sides of the transversal and their arms on the transversal show opposite directions are called:
A) Interior angles
B) Alternate angles
C) Corresponding angles
D) Supplementary angles
अजून वाचून पहा : 8 वी - महाराष्ट्र बोर्ड - गणित टेस्ट - चॅप्टर 1 - Rational and Irrational numbers
Q8. If the measure of one of the angles in a pair of supplementary interior angles is 75°, what is the measure of the other angle?
A) 75°
B) 15°
C) 105°
D) 180°
Q9. When two parallel lines are cut by a transversal, the alternate interior angles are always:
A) Congruent (Equal)
B) Supplementary
C) Complementary
D) Adjacent
Q10. How many pairs of alternate interior angles are formed when a transversal intersects two lines?
A) 2
B) 4
C) 8
D) 1
Q11. If line l ∥ line m and line n is the transversal, and one corresponding angle measures 110°, what is the measure of its corresponding pair?
A) 70°
B) 110°
C) 180°
D) 90°
Q12. Which of the following statements is true for a pair of alternate exterior angles formed by parallel lines?
A) They add up to 90°
B) They are equal in measure
C) They add up to 180°
D) One is always obtuse and one is always acute
Q13. If the interior angles on one side of a transversal intersecting two lines add up to 178°, the two lines will:
A) Never meet
B) Be parallel
C) Intersect if extended on that side
D) Be perpendicular
Q14. In the given context of parallel lines, angles forming a linear pair are always:
A) Equal
B) Complementary
C) Supplementary
D) Vertically opposite
Q15. If an interior angle formed by a transversal with line p ∥ line q is 3x° and its consecutive interior angle is 2x°, what is the value of x?
A) 36
B) 18
C) 45
D) 90
Q16. If a transversal is perpendicular to one of the two parallel lines, then it is ________ to the other parallel line.
A) Parallel
B) Perpendicular
C) Inclined at 45°
D) Coincident
Q17. Two lines in a plane are parallel if their interior alternate angles are:
A) Supplementary
B) Congruent
C) Complementary
D) Different
Q18. If the measure of an angle is 60°, what will be the measure of its vertically opposite angle?
A) 120°
B) 30°
C) 60°
D) 180°
Q19. Out of the 8 angles formed by a transversal intersecting two parallel lines, if one angle is 90°, how many of the other angles are also 90°?
A) 3
B) 4
C) 7
D) 0
Q20. If a pair of corresponding angles formed by a transversal of two lines are equal, then the two lines are:
A) Perpendicular
B) Intersecting
C) Parallel
D) Non-coplanar
Q21. If line a ∥ line b and line b ∥ line c, then line a and line c are:
A) Intersecting
B) Parallel
C) Perpendicular
D) Non-coplanar
Q22. Two interior angles on the same side of a transversal are represented by (4x + 10)° and (5x - 10)°. Find the value of x if the lines are parallel.
A) 10
B) 20
C) 15
D) 30
Q23. If a pair of alternate exterior angles are represented by (2x + 15)° and (3x - 15)°, find the value of x given that the lines are parallel.
A) 30
B) 15
C) 45
D) 60
Q24. If a transversal intersects two parallel lines, the ratio of two interior angles on the same side is 1:3. Find the smaller angle.
A) 45°
B) 30°
C) 60°
D) 135°
Q25. Angles that form a straight line path along the transversal on one side of a line are known as:
A) Alternate angles
B) Angles in a linear pair
C) Interior angles
D) Corresponding angles
Q26. If line m ∥ line n and the transversal intersects them such that an exterior alternate angle is 125°, what is the measure of its adjacent angle forming a linear pair?
A) 125°
B) 55°
C) 65°
D) 180°
Q27. Which test can be used to prove two lines are parallel?
A) Interior angle test
B) Alternate angle test
C) Corresponding angle test
D) All of the above
Q28. If two lines are intersected by a transversal and the corresponding angles are not equal, then the lines are:
A) Parallel
B) Not parallel
C) Coincident
D) Perpendicular
Q29. If an interior angle is acute, its consecutive interior angle on the same side of the transversal must be:
A) Acute
B) Right angle
C) Obtuse
D) Reflex angle
Q30. The distance between two parallel lines always:
A) Increases
B) Decreases
C) Remains constant
D) Doubled
इथून खाली टेस्ट द्यायला सुरुवात करायची आहे.

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