Question

Grade 6 assignment maths:
Define line, line segment, ray, angle and types of angle with diagram.​

Answer 1

Step-by-step explanation:

ray extends indefinitely in one direction, but ends at a single point in the other direction. That point is called the end-point of the ray. Note that a line segment has two end-points, a ray one, and a line none. An angle can be formed when two rays meet at a common point. The rays are the sides of the angle

Answer 2

Answer:

Line segment: A line segment has two end points with a definite length.

line segment

Ray: A ray has one end point and infinitely extends in one direction.

ray

Straight line: A straight line has neither starting nor end point and is of infinite length.

line segment

Acute angle: The angle that is between 0° and 90° is an acute angle, ∠A in the figure below.

acute angle

Obtuse angle: The angle that is between 90° and 180° is an obtuse angle, ∠B as shown below.

obtuse angle

Right angle: The angle that is 90° is a Right angle, ∠C as shown below.

right angle

Straight angle: The angle that is 180° is a straight angle, ∠AOB in the figure below.

Supplementary angles:

supplementary angles

In the figure above, ∠AOC + ∠COB = ∠AOB = 180°

If the sum of two angles is 180° then the angles are called supplementary angles.

Two right angles always supplement each other.

The pair of adjacent angles whose sum is a straight angle is called a linear pair.

Complementary angles:

complementary angles

∠COA + ∠AOB = 90°

If the sum of two angles is 90° then the two angles are called complementary angles.

Adjacent angles:

The angles that have a common arm and a common vertex are called adjacent angles.

In the figure above, ∠BOA and ∠AOC are adjacent angles. Their common arm is OA and common vertex is ‘O’.

Vertically opposite angles:

When two lines intersect, the angles formed opposite to each other at the point of intersection (vertex) are called vertically opposite angles.

opposite angles

In the figure above,

x and y are two intersecting lines.

∠A and ∠C make one pair of vertically opposite angles and

∠B and ∠D make another pair of vertically opposite angles.

Perpendicular lines: When there is a right angle between two lines, the lines are said to be perpendicular to each other.

perpendicular lines

Here, the lines OA and OB are said to be perpendicular to each other.

Parallel lines:

parallel lines

Here, A and B are two parallel lines, intersected by a line p.