Basic Concepts in Geometry — Important Questions
Maharashtra Board · Class 9 · Mathematics
44 important questions from Basic Concepts in Geometry for Maharashtra Board Class 9 Mathematics, with answers.
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Important Questions from Basic Concepts in Geometry
Which of the following are properties of congruent segments? (Select all correct answers)
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Reflexivity: seg AB ≅ seg AB, Symmetry: If seg AB ≅ seg CD, then seg CD ≅ seg AB, Transitivity: If seg AB ≅ seg CD and seg CD ≅ seg EF, then seg AB ≅ seg EF
Congruent segments have three main properties: Reflexivity (every segment is congruent to itself), Symmetry (congruence works both ways), and Transitivity (congruence carries through). Distributivity is not a property of congruence.
Find the distance between points with coordinates -7 and 1.
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8
Distance = |1 - (-7)| = |1 + 7| = |8| = 8. Distance is always positive and equals the absolute difference between coordinates.
Which of the following statements about opposite angles formed by intersecting lines are correct? (Select all correct answers)
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Opposite angles are equal in measure, Opposite angles are vertically opposite angles, Adjacent angles form linear pairs
When two lines intersect: opposite angles are equal (vertically opposite), adjacent angles are supplementary (form linear pairs of 180°), not complementary (90°).
If points A, B, C have coordinates -3, 1, and 5 respectively, and they are collinear, which point is between the other two?
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B is between A and C
Check: d(A,B) = |1-(-3)| = 4, d(B,C) = |5-1| = 4, d(A,C) = |5-(-3)| = 8. Since d(A,B) + d(B,C) = 4 + 4 = 8 = d(A,C), point B is between A and C.
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