How many parallelograms are formed by a set of 4 parallel lines intersecting another set of 5?

Thus 60 parallelograms are formed.

How many parallelograms can be formed by a set of 5 parallel?

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?…Subscribe to GO Classes for GATE CSE 2022.

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How many parallelogram can be formed using 6 parallel lines intersecting another set of 4 parallel lines?

This can be selected in 6C2 × 4C2 = 15 × 6 ways = 90 ways.

How many parallel line are in parallelogram?

two pairs
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

How many parallelograms are formed when set 4?

From the above solution, we have found that 18 numbers of parallelograms can be formed from a set of four parallel lines intersecting three parallel lines.

What is being formed by the intersection of parallel lines?

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary .

What is the number of parallel lines of a parallelogram?

two
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.

How to form a parallelogram from two sets of lines?

To form a parallelogram we need 2 sets of 2 parallel lines intersecting the other 2 lines from the other set. So, first of all, we need to get 2 lines from the sets. From the first parallel set, 2 out of 4 lines can be selected in 4C2= 6 ways. From the second parallel set, 2 out of 3 lines can be selected in 3C2= 3 ways.

How many parallel lines do you need for a rectangle?

For a rectangle, you need 2 parallel lines which are perpendicular to other 2 parallel lines. The number of ways you can choose 2 parallel lines from 4 is 4C2. Similarly, you have to choose perpendicular lines to those lines which you selected.

How to calculate the total number of possible parallelogram in C++?

To form a parallelogram, we need two horizontal parallel lines and two vertical parallel lines. So, number of ways to choose two horizontal parallel lines are n C 2 and number of ways to choose two vertical parallel lines are m C 2. So, total number of possible parallelogram will be n C 2 x m C 2. Below is C++ implementation of this approach:

Are non intersecting lines on a curved plane parallel?

When talking about flat two dimensional Euclidean plane, non intersecting lines are parallel. But this rule is not followed on curved plane where non intersecting lines may not be parallel and even parallel lines can intersect. Think about the most popular example of curved plane- a sphere.