What are the altitudes of a parallelogram?
The altitude of a parallelogram is the line segment perpendicular to one pair of sides with one endpoint on one of these sides of the parallelogram, and the other endpoint on the line containing the opposite side of the parallelogram.
What is the altitude of an equilateral?
The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle.
What parallelogram which is equilateral called?
rhombus
Explanation: A rhombus is: “A quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram.”
Are the altitudes of a parallelogram congruent?
The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended). Opposite sides are congruent (equal in length) and parallel. As you reshape the parallelogram at the top of the page, note how the opposite sides are always the same length.
Why is it called a parallelogram?
Here all sides are equal and all the angles are right angles. Diagonals AC and BD are equal. The term ‘parallelogram’ is derived from Middle French ‘parallélogramme’, Late Latin ‘parallelogrammum’ and Greek ‘parallelogrammon’ which means “bounded by parallel lines”.
What is the formula for altitude?
The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.
What is any side of a parallelogram is called?
If we have a parallelogram where all sides are congruent then we have what is called a rhombus. The parallel sides are called bases while the nonparallel sides are called legs. If the legs are congruent we have what is called an isosceles trapezoid.
Does parallelogram have 4 right angles?
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.
Which is the altitude of an equilateral triangle?
A line segment is drawn from the vertex to the opposite side of a triangle such that it is perpendicular to the side and bisects the side in two equal parts then it is said to be the altitude of an equilateral triangle. From the figure side, BS is the altitude of equilateral ABC, and AD = DC (image will be updated soon).
Which is the formula for a parallelogram without height?
Its formula is: Area = Base x Height (in square unit) The area of a parallelogram without height is given by: Area = ab sin x Where a and b are the two adjacent sides of parallelogram and x is the angle between them.
How are the opposite sides of a parallelogram equal?
The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees. A square and a rectangle are two shapes which have similar properties of a parallelogram.
Is the area of a parallelogram equal to the base?
Theorem 1: Parallelograms on the same base and between the same parallel sides are equal in area. Proof: Two parallelograms ABCD and ABEF, on the same base DC and between the same parallel line AB and FC. To prove that area (ABCD) = area (ABEF). Parallelogram ABCD and rectangle ABML are on the same base and between the same parallels AB and LC.