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If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
Why do you not usually multiply the side lengths of a parallelogram to calculate its area?
To find area you need base and height of a parallelogram. A = BH Not all the side lengths given would be base or height. Side lengths are perfect to find perimeter but don't rely on the side lengths for area.
What do the four side lengths have to make a parallelogram?
Two pairs of equal length.
How can you find the area of a parallelogram if you only know the side lengths?
The area of a parallelogram is equal to base times height. You can find the maximum area of a parallelogram by multiplying the length of a short side by the length of a long side. (This would be the area if the parallelogram were a rectangle.)You cannot know the area of a parallelogram if all you know is the length of the sides; you can only know the maximumpossible area. Imagine you slant the parallelogram a lot. The area will decrease, but the side lengths will stay the same.
Is there 4 angles in a parallelogram?
Yes, a parallelogram has four sides and four internal angles, the opposite side lengths are equal and the opposite angles are equal.
What is the area of the parallelogram 10in 8in 13in?
Since both pairs of sides of a parallelogram are congruent, there can only be two or less different side lengths.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangel?
Not necessarily; it is a parallelogram - a rectangle is a parallelogram in which all angles are 90o. It could also be a rhombus - a rhombus is a parallelogram with all lengths the same; a square is a rhombus in which all angles are 90o.
How is a rhombus A parallelogram different?
Technically, a rhombus is a parallelogram, but a parallelogram is not always a rhombus. A parallelogram is any four-sided shape with two sets of parallel lines. A rhombus is a parallelogram with all equivalent side lengths. So, a rhombus is a more specific parallelogram. (And so is a a square or a rectangle.)
How is a parallelogram different from a rhombus?
Technically, a rhombus is a parallelogram, but a parallelogram is not always a rhombus. A parallelogram is any four-sided shape with two sets of parallel lines. A rhombus is a parallelogram with all equivalent side lengths. So, a rhombus is a more specific parallelogram. (And so is a a square or a rectangle.)
How do you find the ratio of two adjacent side lengths in a parallelogram?
Exactly like with a rectangle. Divide the longer side by the shorter side and the ratio will be x : 1
What would be the most likely side lengths for a parallelogram?
Well, honey, in a parallelogram, opposite sides are equal in length and opposite angles are equal in measure. So, the most likely side lengths for a parallelogram would be two pairs of sides that are equal to each other. But hey, don't forget, as long as those opposite sides are parallel and those angles are congruent, you've got yourself a good ol' parallelogram.
How do you construct a parallelogram whose one side and two diagonals are given?
To construct a parallelogram with one side and two diagonals given, start by drawing the given side as one of the sides of the parallelogram. Label the endpoints of this side. Then, using a compass, draw arcs from each endpoint of the side with radii equal to the lengths of the diagonals, intersecting at two points. These intersection points will be the other two vertices of the parallelogram. Finally, connect these vertices to form the complete parallelogram.
