Lines and Angles — Flashcards
Madhya Pradesh Board · Class 9 · Mathematics
22 flashcards for Lines and Angles (Madhya Pradesh Board Class 9 Mathematics) to test yourself on key terms and facts.
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What is a line segment, ray, and line? How are they different?
Answer
A line segment is a part of a line with two endpoints (like AB). A ray is a part of a line with one endpoint that extends infinitely in one direction (like AB with arrow). A line extends infinitely in…
Define collinear and non-collinear points with examples.
Answer
Collinear points are three or more points that lie on the same straight line (like points A, B, C on line l). Non-collinear points are points that do not lie on the same straight line (like points for…
What are the five types of angles? Give their angle measures.
Answer
1) Acute angle: 0° < angle < 90° 2) Right angle: angle = 90° 3) Obtuse angle: 90° < angle < 180° 4) Straight angle: angle = 180° 5) Reflex angle: 180° < angle < 360°…
Define complementary and supplementary angles with examples.
Answer
Complementary angles: Two angles whose sum is 90°. Example: 30° and 60° are complementary. Supplementary angles: Two angles whose sum is 180°. Example: 120° and 60° are supplementary. Note: Angles d…
What are adjacent angles? What conditions must they satisfy?
Answer
Adjacent angles are two angles that: 1) Have a common vertex 2) Have a common arm (ray) 3) Their non-common arms are on different sides of the common arm When two angles are adjacent, their sum equal…
What is a linear pair of angles? How is it different from just adjacent angles?
Answer
A linear pair of angles are adjacent angles whose non-common arms form a straight line. This means: 1) They are adjacent angles 2) Their non-common arms are opposite rays 3) Their sum is always 180° …
What are vertically opposite angles? What is their key property?
Answer
Vertically opposite angles are formed when two lines intersect. They are the angles that are opposite to each other at the intersection point. Key property: Vertically opposite angles are always equa…
State the Linear Pair Axiom (both parts).
Answer
Axiom 6.1: If a ray stands on a line, then the sum of the two adjacent angles so formed is 180°. Axiom 6.2: If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a li…
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