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Objective:
To study between different points of a geometrical figure when it is displacement and/or rotated. Enhance familiarity with co-ordinate geometry.
Description:
1. A cut out of a geometrical figure such as a triangle is made and placed on a rectangular sheet of paper marked with X and Y-axis.
2. The co-ordinates of the vertices of the triangle and its centroid are noted.
3. The triangular cut out is displaced (along x-axis, along y-axis or along any other direction.)
4. The new co-ordinates of the vertices and the centroid are noted again.
5. The procedure is repeated, this time by rotating the triangle as well as displacing it. The new co-ordinate of vertices and centroid are noted again.
6. Using the distance formula, distance between the vertices of the triangle are obtained for the triangle in original position and in various displaced and noted positions.
7. Using the new co-ordinates of the vertices and the centroids, students will obtain the ratio in which the centroid divides the medians for various displaced and rotated positions of the triangles.
Result:
Students will verify that under any displacement and rotation of a triangle the displacement between verticals remain unchanged, also the centroid divides the medians in ratio 2:1 in all cases.
Conclusion:
In this project the students verify (by the method of co-ordinate geometry) What is obvious geometrically, named that the length of a triangle do not change when the triangle is displaced or rotated. This project will develop their familiarity with co-ordinates, distance formula and section formula of co-ordinate geometry.
When the triangle cut out is kept at Position (1 Quadrant) as shown in Fig: 4.1 following fortification are made:
Vertices of triangle are A (3, 6), B (1, 3), C (6, 3).
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What is the sum of a trapezoid?
I don't know how to sum geometrical figures. I suppose you could count it: one! One trapezoid! Ah ah ah ah ah. The sum of the interior angles of any convex four-sided polygon is 360 degrees. The some of the exterior angles of any convex polygon (no matter how many sides it has) is 360 degrees.
How do you know if two figures are similar or congruent?
congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing
What does atomic mass have to do with the weight of an element?
Matter is bound energy displacing space, the volume and density of displacement is the mass of the matter involved. Gravity is the attraction between matter displacing space, weight is measure of the force exerted by matter due to its gravitational attraction. Therefore the atomic mass of a collection of matter defines the gravitational attraction that matter will exert which will define the measurable weight of the matter in question.
What is the significant figures of 0.00532x4.0009?
The number of significant figures in 0.00532 is 5; the 5 to the right of the point. The zeros are significant because they put the figures 532 in their correct positions. The number of sig figs in 4.0009 is 5 because every digit, no matter its position, is ensuring the correct placing of the digits.
How much is your displacement and distance covered if you move 5 meters forward for 1 second and 5 meters back for another second?
If you have moved forward and backward, hence ending up at the same point you started, then displacement is zero. That's because Displacement takes into account the direction - hence a vector quantity.The distance only bothers about the distance - hence it doesn't matter if you came to where you started. So in total, 5 meters up and 5 down is 10. Distance = 10
State of matter consists of particles in regular repeating three dimensional geometrical patterns?
Solid
What property of matter is illustr ated when the volume of the stone is measured be water displacement?
density
How can you show that you are matter?
You can weigh yourself or calculate your volume through water displacement, as matter is anything that occupies space (your volume) and has mass (your weight).
What is the sum of a trapezoid?
I don't know how to sum geometrical figures. I suppose you could count it: one! One trapezoid! Ah ah ah ah ah. The sum of the interior angles of any convex four-sided polygon is 360 degrees. The some of the exterior angles of any convex polygon (no matter how many sides it has) is 360 degrees.
Why doesn't the direction of rotation clockwise and counterclockwise matter when the angle of rotation is 180?
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
Do all waves carry energy but not matter?
Yes, all waves carry energy but not matter. Waves transfer energy from one place to another but do not involve the physical displacement of matter.
Could the theory of dormant black holes truly exist if a black hole isn't sucking in matter that it musnt be rotating if it isn't rotating how could it even exist?
The rotation is not related to the black hole's ability to attract matter. The attraction depends only on the black hole's mass.The rotation is not related to the black hole's ability to attract matter. The attraction depends only on the black hole's mass.The rotation is not related to the black hole's ability to attract matter. The attraction depends only on the black hole's mass.The rotation is not related to the black hole's ability to attract matter. The attraction depends only on the black hole's mass.
A wave transports energy but not matter true or false?
True. Waves transfer energy through a medium but do not cause the physical displacement of matter in the medium itself.
How do you know if two figures are similar or congruent?
congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing
What is the maximum distance that matter is displaced?
The maximum distance that matter can be displaced depends on the scale and mechanism of the displacement. At the atomic scale, matter can be displaced on the order of nanometers. On a larger scale, such as in seismic events, matter can be displaced by kilometers.
What is the maximum distance that matter is displaced from the resting place?
The maximum distance that matter is displaced from its resting place is its amplitude. In the context of a wave, it represents the maximum displacement from equilibrium.
Why do sandbanks and pebble beds form near the mouth of rivers?
Displacement of said matter due to tidal forces
