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A diagonal is a line segment that connects two non-adjacent vertices or corners of a shape. In geometry, diagonals are used to measure the size of figures such as polygons and right triangles. They can also be used to divide a figure into two equal parts.

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Diagonal Line of Symmetry: If a diagonal line divides an object into two identical halves, it is called a diagonal line of symmetry. That means the diagonal line of symmetry goes sideways or slanting in an object. Number of Lines of Symmetry in a Shape. The line of symmetry produces reflections that coincide. A shape or an object can have.

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Illustrated definition of Diagonal: A line segment that goes from one corner to another, but is not an edge. So when we directly join any two corners.

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α - the angle between diagonals; r - circumcircle radius; d - diagonal; and two other parameters which are not shown in the picture: A - area; and P - perimeter. The term rectangle comes from the Latin rectangulus, which is a combination of two words: rectus (right, proper) and angulus (angle).

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Diagonals of Polygons. A square has. 2 diagonals. An octagon has. 20 diagonals. A polygon 's diagonals are line segments from one corner to another (but not the edges). The number of diagonals of an n-sided polygon is: n (n − 3) / 2.

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A diagonal is a line segment on a polygon or polyhedron. Diagonals connect two vertices (points, or corners) that do not share a side. What is an example of a diagonal in a shape? Diagonals.

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The line of reflection can be defined by an equation or by two points it passes through. Part 1: Reflecting points Let's study an example of reflecting over a horizontal line We are asked to find the image A ′ of A ( − 6, 7) under a reflection over y = 4 .

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In geometry, a diagonal line is a straight line segment that joins two corners of a polygon, but is not an edge. It goes through the middle of the shape. It does not go straight up, down, or across. Instead, it joins two vertices on opposite or non-adjacent edges. That means that the corners are not next to one another.

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noun 1 : a diagonal straight line or plane 2 a (1) : a diagonal direction (2) : a diagonal row, arrangement, or pattern b : something oriented in diagonal position 3 : slash sense 4 Phrases on the diagonal : in an oblique direction : diagonally Synonyms Adjective

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Steps for How to Reflect a Polygon Over a Diagonal Line. Step 1: Identify the vertices of the polygon as they correspond to their vertex name. Step 2: If the diagonal line has the equation y = x.

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A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon. It joins the vertices of a polygon, excluding the edges of the figure. The following shapes have a diagonal drawn on them: History of the Diagonal

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Video transcript. - Line segments IN, this is segment IN over here, and TO, this is TO here, are reflected over the line Y is equal to negative X minus two. So this is the line that they're reflected about this dashed, purple line. And it is indeed Y equals negative X minus two. This right over here is in slope intercept form.

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As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

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A diagonal line is a line segment that connects the two vertices of a shape, which are not already joined by an edge. It does not go straight up, down or across. The shape of the diagonals is always a straight line. In other words, a diagonal is a straight line that connects the opposite corners of a polygon or a polyhedron, through its vertex.

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A diagonal is a line segment that joins two non-neighboring vertices. Each quadrilateral has two diagonals, a square too. Its diagonals are: Equal in length; Perpendicular bisectors of each other; and Bisectors of square angles.