Which line segment is longest?
The distance between point A and point D is the longest. Thus, AD is the longest line segment. A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn.
What is a line segment in a polygon called?
The line segments that form a polygon are called the sides of the polygon. A point where two sides meet is a vertex (plural form is vertices). Any two sides determine an interior angle of the polygon; an exterior angle is formed by a side and an adjacent side extended.
What is the longest line segment of a circle?
A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle. If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
Is the longest line segment that can be drawn across the Ellipse?
In an ellipse, the longest chord, which is also the longest diameter, is called the major axis, and a segment from the midpoint of the major axis (the ellipse’s center) to either endpoint of the major axis is called a semi-major axis.
Which line segment is the shortest?
So ∠D is an acute angle. So all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
What type of polygon is ABCD?
The four‐sided polygon in Figure could have been named ABCD, BCDA, or ADCB, for example. It does not matter with which letter you begin as long as the vertices are named consecutively. Sides AB and BC are examples of consecutive sides. Figure 2 There are four pairs of consecutive sides in this polygon.
Which is the smallest polygon?
triangle
The smallest possible polygon in a Euclidean geometry or “flat geometry” is the triangle, but on a sphere, there can be a digon and a henagon. If the edges (lines of the polygon) do not intersect (cross each other), the polygon is called simple, otherwise it is complex.
Which is the longest diameter of circle?
Complete step-by-step answer: We know that a chord is a line segment which joins two points on the circumference of a circle. Also, the longest chord of the circle passes through its center. Hence diameter is the longest chord of the circle.
Who is the longest chord of the circle?
diameter
The Longest chord of any circle is its diameter. Therefore, the diameter of a circle is twice the radius of it.
Which is longest line?
The longest is the equator, whose latitude is zero, while at the poles, at latitudes 90° north and 90° south (or –90°), the circles shrink to a point. Both longitudes or meridians, interconnecting the north pole and the south pole, are equivalent lines of similar length.
Why smallest line is perpendicular?
Here we will prove that of all the straight lines that can be drawn to a straight line from a given point outside it, the perpendicular is the shortest….Perpendicular is the Shortest.
| Statement | Reason |
|---|---|
| 3. ∠OZP < ∠OPZ. | 3. From statement 1 and 2. |
| 4. OP < OZ. (proved) | 4. In a triangle, the greater angle has the greater side opposite to it. |