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Aug 12, 2022 · Two points on a plane determine a line. A line is a one-dimensional figure that is made up of an infinite number of individual points placed side by side. In geometry, all lines are assumed to be straight; if they bend they are called a curve. A line continues infinitely in two directions.
In mathematics—namely geometry—and in real life, geometric shapes are two or three-dimensional figures that can be recognized and categorized based on a specific outline/boundary and other attributes including curves, lines, and angles.
1 day ago · Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other. The union of two sets, A A and B B, contains all points that are in both sets and is symbolized as A ∪ B. A ∪ B. The intersection of two sets A A and B B includes only the points common to both sets and is symbolized as A ∩ B ...
- Name the line shown in red. Solution. The red line goes through the points C and F, so the line is \(\overleftrightarrow{CF}\). The section between any two points on a line is called a line segment.
- Identify each line and line segment in the picture below. Solution. Two points define a line, and a line is denoted with arrows. There are two lines in this picture: \(\overleftrightarrow{CE}\) and \(\overleftrightarrow{BG}\).
- Identify each point and ray in the picture below. Solution. There are four points: A, B, C, and D. There are also three rays, though only one may be obvious.
- Label each angle below as acute, right, or obtuse. Solution. You can start by identifying any right angles. ∠GFI is a right angle, as indicated by the corner mark at vertex F.
- What Are polygons?
- Shape of A Polygon
- Shapes with Four Sides and Four Angles
- What Are angles?
- Use of Angles
- Types of Angles
- Complementary Angles and Supplementary Angles
- Solved Examples – Shapes and Angles
- Summary
- FAQs
Polygon comes from the Greek words poly, which means many, and gon, which means angle. A polygon is a simple closed curve formed by three or more line segments such that (i) no two-line segments intersect except at their endpoints. (ii) no two line segments with a common endpoint are coincident. A polygon, in other words, is a simple closed two-dim...
The number of sides determines the shape of the polygon. For example, if a polygon has three sides, it is referred to as a triangle. When a polygon has four sides, it is referred to as a quadrilateral. If a polygon has five sides, it is referred to as a pentagon, and so on. Let us have a look at the shapes given below. Triangle:Triangle is a polygo...
Square: The type of quadrilateral in which all the sides are equal, and each angle measures \(90^\circ \) is called a square. Rectangle: The type of quadrilateral in which opposite sides are of equal length, and each angle is a right angle is called a rectangle. Parallelogram: A quadrilateral is a parallelogram if both pairs of its opposite sides a...
When two rays come from the same starting point, they make an angle. The arms of an angle are the rays that make up the angle, while the vertex of an angle is the initial point. The symbol that represents the angle is \(\angle\). Here in the diagram, the angle formed is represented as \(\angle P Q R\).
Angles play a significant role in our daily lives, as evidenced by the simplest items we use in our homes, such as tables and chairs, which are created by carpenters who employ angles to achieve the correct sizes and structure. When we talk about the most basic need of our lives, shelter—the buildings constructed by Architects and Engineers, angles...
There are various sorts of angles, which are listed below: 1. Zero angle 2. Acute angle 3. Obtuse angle 4. Right angle 5. Straight angle 6. Reflex angle 7. Complete/Full angle Zero Angles:\(P Q\) is a ray. The starting point of the given ray is on the left side, and also it is parallel to the surface of the earth. Hence, the ray \(P Q\) represents ...
Complementary Angles: Two angles whose sum is \(90^{\circ}\) are known as complementary angles. Whenever two angles are said to be complementary, each of the angles is said to be the complement of the other. As shown in the diagram below, \(30^{\circ}\) angle is the complement of \(60^{\circ}\) angle or vice versa because their sum is \(90^{\circ}\...
Q.1. Write the number of sides of the polygons given below and name them: Ans: (i) In the given figure, the number of sides of the polygon is five, so we call it a pentagon. (ii) In the given figure, the number of sides of the polygon is eight, so we call it an octagon. (iii)In the given figure, the number of sides of the polygon is six, so we call...
We learned about open and closed curves, polygons and their types, two-dimensional shapes, shapes with four sides and four angles, angles and their types, supplementary and complementary angles, and solved problems in this article. Learn About Different Geometrical Shapes
Q.1. What are shapes? Ans: A shape is defined as an object’s boundaries or outline. It is the surface that we see, and it is independent of the object’s size or colour. Q.2. What are angles? Ans: An angle is defined as the figure created by two rays meeting at a common endpoint in geometry. Q.3. What are quadrilaterals? Ans: Quadrilaterals are poly...
Line Segment. When a line has two endpoints, it is known as a line segment. The length of a line segment can be measured and it is written as ¯¯¯¯¯¯¯¯AB A B ¯. Angles. When two rays intersect at a point, they form an angle. Angles are usually measured in degrees and denoted by ∘ (the degree symbol), which is a measure of rotation.
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Aug 16, 2024 · Two-dimensional (2D) shapes are flat figures that have only length and width, but no depth. They exist solely on a plane, meaning they are confined to two dimensions and do not have any thickness. These shapes can be geometrically defined by points, lines, curves, and angles that form closed boundaries.
