Lines and Angles — Flashcards
Gujarat Board · Class 9 · Mathematics
22 flashcards for Lines and Angles (Gujarat Board Class 9 Mathematics) to test yourself on key terms and facts.
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What is the definition of collinear points?
Answer
Three or more points that lie on the same line are called collinear points. If points do not lie on the same line, they are called non-collinear points.
Define adjacent angles and state their key properties.
Answer
Two angles are adjacent if they have: (1) A common vertex, (2) A common arm, and (3) Their non-common arms are on different sides of the common arm. When two angles are adjacent, their sum equals the …
What are complementary and supplementary angles?
Answer
Complementary angles: Two angles whose sum is 90°. Supplementary angles: Two angles whose sum is 180°. Example: If one angle is 30°, its complement is 60° and its supplement is 150°.
State the Linear Pair Axiom (Axiom 6.1).
Answer
If a ray stands on a line, then the sum of two adjacent angles so formed is 180°. This means when a ray divides a straight line into two angles, those angles are supplementary.
State the converse of Linear Pair Axiom (Axiom 6.2).
Answer
If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line. This is the reverse statement of Axiom 6.1.
What are vertically opposite angles and what is their main property?
Answer
When two lines intersect, they form two pairs of vertically opposite angles. Vertically opposite angles are always equal. For example, if two lines intersect at point O, then ∠AOC = ∠BOD and ∠AOD = ∠B…
State Theorem 6.1 about vertically opposite angles.
Answer
Theorem 6.1: If two lines intersect each other, then the vertically opposite angles are equal. This can be proved using the Linear Pair Axiom.
What is a transversal?
Answer
A transversal is a line that intersects two or more other lines at distinct points. When a transversal cuts two parallel lines, it creates eight angles with special relationships.
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