contiguous angles

简明释义

邻角

英英释义

例句

1.In geometry, the sum of the measures of two contiguous angles (相邻角) is equal to the measure of their adjacent angle.

在几何学中，两个contiguous angles（相邻角）的度数之和等于它们的邻角的度数。

2.In the design of the room, the architect calculated the contiguous angles (相邻角) to optimize space.

在房间设计中，建筑师计算了contiguous angles（相邻角）以优化空间。

3.To find the missing angle, we used the property of contiguous angles (相邻角) in our calculations.

为了找到缺失的角，我们在计算中使用了contiguous angles（相邻角）的性质。

4.When constructing a polygon, ensure that the contiguous angles (相邻角) are measured correctly to maintain symmetry.

在构造多边形时，确保contiguous angles（相邻角）的测量正确，以保持对称性。

5.The interior contiguous angles (相邻角) of a triangle always add up to 180 degrees.

三角形的内部contiguous angles（相邻角）总和为180度。

作文

In the world of geometry, angles play a crucial role in understanding shapes and their properties. One important concept that often comes up is that of contiguous angles, which refers to angles that share a common side and vertex. This idea is fundamental when studying polygons, especially triangles and quadrilaterals, where the relationships between angles can determine the overall characteristics of the shape. Understanding contiguous angles can also enhance our comprehension of various geometric proofs and theorems.To illustrate the importance of contiguous angles, let’s consider a simple example involving a triangle. When two angles within a triangle are adjacent to each other, they are classified as contiguous angles. For instance, if we have triangle ABC, with angle A and angle B being adjacent, they share side AB and vertex A. The sum of these two contiguous angles is vital since it contributes to the overall sum of angles in the triangle, which is always 180 degrees.Moreover, exploring contiguous angles can lead us to discover the concept of supplementary angles. When two contiguous angles are formed on a straight line, their measures add up to 180 degrees. This relationship is not only critical in theoretical mathematics but also has practical applications in fields such as architecture and engineering, where precise measurements are essential for structural integrity.Another interesting aspect of contiguous angles is their role in parallel lines cut by a transversal. When a transversal intersects two parallel lines, several pairs of contiguous angles are formed, leading to various angle relationships such as alternate interior angles and corresponding angles. Understanding these relationships allows us to solve complex problems and proves invaluable in higher-level mathematics.Furthermore, the significance of contiguous angles extends beyond theoretical mathematics; it plays a vital role in everyday life. For example, when designing furniture or creating layouts for rooms, understanding how angles work together helps ensure that everything fits properly. Knowing how to manipulate contiguous angles can also assist in crafting aesthetically pleasing designs, whether in art, architecture, or even graphic design.In conclusion, the concept of contiguous angles is an essential part of geometry that enhances our understanding of shapes and their properties. By recognizing the relationships between adjacent angles, we can apply this knowledge to various mathematical problems and real-world situations. Whether in academic settings or practical applications, mastering the idea of contiguous angles equips us with valuable skills that extend far beyond the classroom. As we continue to explore the intricacies of geometry, let us appreciate the beauty and utility of contiguous angles in our daily lives and future endeavors.

在几何学的世界中，角度在理解形状及其属性方面起着至关重要的作用。一个常常出现的重要概念是相邻角，它指的是共享一个公共边和顶点的角。这一概念在研究多边形时尤为重要，尤其是在三角形和四边形中，角度之间的关系可以决定形状的整体特征。理解相邻角还可以增强我们对各种几何证明和定理的理解。为了说明相邻角的重要性，让我们考虑一个简单的例子，涉及到一个三角形。当一个三角形内的两个角彼此相邻时，它们被归类为相邻角。例如，如果我们有三角形ABC，其中角A和角B相邻，它们共享边AB和顶点A。这两个相邻角的和是至关重要的，因为它有助于三角形内角的总和，而三角形的内角总和始终为180度。此外，探索相邻角可以让我们发现补角的概念。当两个相邻角在一条直线上形成时，它们的度数和为180度。这种关系不仅对理论数学至关重要，而且在建筑和工程等领域也有实际应用，在这些领域中，精确的测量对于结构的完整性至关重要。相邻角的另一个有趣方面是它们在被横截线切割的平行线中的作用。当一条横截线与两条平行线相交时，会形成多个对的相邻角，从而导致各种角度关系，如交替内角和对应角。理解这些关系使我们能够解决复杂的问题，并在更高层次的数学中证明其无价。此外，相邻角的意义超越了理论数学；它在日常生活中也发挥着重要作用。例如，在设计家具或创建房间布局时，理解角度如何协同工作有助于确保一切都能恰当地适应。知道如何操控相邻角也可以帮助我们创造美观的设计，无论是在艺术、建筑还是图形设计中。总之，相邻角的概念是几何学的一个基本部分，增强了我们对形状及其属性的理解。通过认识相邻角之间的关系，我们可以将这一知识应用于各种数学问题和现实情况。无论是在学术环境还是实际应用中，掌握相邻角的理念都为我们提供了超越课堂的宝贵技能。当我们继续探索几何的复杂性时，让我们欣赏相邻角在我们日常生活和未来努力中的美丽与实用性。