Review the key concepts, formulae, and examples before starting your quiz.
đConcepts
A Point is a tiny dot that represents a specific location in space. It has no length, breadth, or thickness. In geometry, we name a point using a capital letter, such as Point . Visually, it appears as a single small dot on a flat surface.
A Line is a straight path that extends infinitely in both directions. It has no endpoints and no fixed length. To show it continues forever, we draw arrows at both ends, like . A line is straight and can be thought of as an endless string.
A Line Segment is a part of a line that has two fixed endpoints. Because it has a start and an end, its length can be measured using a ruler. It is represented visually as a straight line with two dots at the ends and is written as .
A Ray is a part of a line that starts at one fixed point (the endpoint) and goes on forever in the other direction. Think of a sunbeam starting from the sun. It is drawn with one dot and one arrow at the other end, represented as .
Horizontal Lines are lines that go straight across from left to right, parallel to the ground. They are often called 'sleeping' lines because they lie flat like the horizon.
Vertical Lines are lines that go straight up and down. They are often called 'standing' lines, similar to the position of a standing person or a vertical flagpole.
Slanting Lines, also known as oblique lines, are tilted. They are neither horizontal nor vertical. Imagine a ladder leaning against a wall or the slanted side of a mountain.
đFormulae
đĄExamples
Problem 1:
Identify the following figures: (a) A figure with two endpoints and , (b) A figure that starts at and has an arrow at .
Solution:
(a) is a Line Segment. (b) is a Ray.
Explanation:
A figure with two fixed ends is a line segment because it has a measurable distance. A figure with one starting point and one arrow is a ray because it extends infinitely in one direction.
Problem 2:
How many line segments are required to draw a simple triangle with vertices , , and ?
Solution:
There are line segments: , , and .
Explanation:
A triangle is a closed shape made of three straight sides. Each side connects two points (vertices), making each side a line segment.