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# what are the properties of the quadrilateral whose vertices are the center of the squares?

The sides of a parallelogram are sides of four squares drawn outside the parallelogram , Give some properties of the quadrilateral whose vertices are the center of these four squares?

## Research, Knowledge and Information :

### Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid ...

Quadrilaterals. Quadrilateral just ... (Also see this on Interactive Quadrilaterals) Properties. Four sides (edges) Four vertices (corners) ... NOTE: Squares, ...

A quadrilateral is a square if and only if it ... A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on ... Properties of the ...

### Shape: Quadrilateral | Think Math!

... or vertices have special properties. ... squares (B), the most special of ... any quadrilateral whose opposite angles add up to 180 degrees is a cyclic quadrilateral.

### Square - Wikipedia

The perimeter of a square whose four ... a square is the quadrilateral containing ... (squares in its interior such that all four of a square's vertices lie on ...

### The sides of a parallelogram are sides of four squares drawn ...

... squares drawn outside the parallelogram. Give some properties of the quadrilateral whose vertices are the center ... vertices are the center of these four squares?

### Properties of Shapes: Quadrilaterals, Parallelograms ...

Properties of Shapes: Rectangles, Squares and Rhombuses ... they also have four vertices, or corners. ... Properties of Shapes: Quadrilaterals, Parallelograms, ...

### Geometry parallelograms Flashcards | Quizlet

Geometry parallelograms. STUDY. PLAY. ... angles whose vertices are not consecutive. ... Quadrilateral (3 properties) 1. Has 4 sides 2.

### Properties of Shapes: Quadrilaterals, Parallelograms ...

What is a Quadrilateral? - Definition, Properties, ... they also have four vertices, ... Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, ...

### Square and its properties. (Coordinate Geometry) - Math Open ...

Definiton and properties of a square (coordinate geometry ... In coordinate geometry, ... The length of a diagonals is the distance between any pair of opposite vertices.

### Classification of Quadrilaterals - Cut-the-Knot

Classification of Quadrilaterals. ... by relaxing its properties. A square is a quadrilateral with all sides ... the vertices and the sides of the quadrilateral.

## Suggested Questions And Answer :

### If you know a figure has certain properties, can you say what kind of figure it is?

The properties have to be sufficient to define the figure unambiguously, so that no other figure has those properties. For example, a quadrilateral with sides of equal length does not define a square, because a rhombus has the same properties. But a regular quadrilateral has equal length sides and angles, so a square is so defined.

### how do you find the area of a prism???

All prisms take a two-dimensional shape and use it as the top and bottom faces in parallel. The top and bottom are then joined to make a solid, so that all the sides are parallelograms. These parallelograms can be rectangles or even squares. The area of the prism is the surface area of the solid, usually including the top and bottom surfaces. The top and bottom faces can each be the same triangle, quadrilateral (including squares, rectangles, trapezoids, etc.), or polygon (star, pentagon, hexagon, etc.). If the top and bottom have n sides, there will be n parallelograms forming the length of the prism. The area of each parallelogram is base times vertical height, where the base length is the length of the particular side of the base figure on which the parallelogram stands. The volume of the prism is the area of the base times the vertical height. For example, if the top and bottom faces are the same regular hexagon (like a pencil), there will be 6 rectangles forming the sides of the prism, each with the same area, A. The surface area of the prism is 6A plus twice the area of the base, or bottom face.

### Mapping from three to two dimensions

The coordinates of the four points can be calculated as follows:

### how to graph the parabola for f(x)=x^2-5x-14

f(x)=x^2-5x-14 can be written f(x)=x^2-5x+25/4-25/4-56/4=(x-5/2)^2-81/4. This "completes the square". How did I do this? I looked at x^2-5x and asked myself: what do I need to add to this to complete the square involving x? What you do is halve the x term, 5, and then square it: (5/2)^2=25/4. Now I have the complete square of x-5/2. But I have to compensate for adding in 25/4 so I do this by subtracting -25/4, but keep this separate from the perfect square and absorb it into the number -14. I can represent -14 as an improper fraction -56/4 in a convenient form to combine with -25/4 so that -25/4-56/4=-81/4 is the combined result. Now f(x)=(x-5/2)^2-(9/2)^2, and some of the properties of the parabola can be more easily seen. The graph is U-shaped and cuts the x axis at the zeroes for the function. To find these intercepts, we put (x-5/2)^2-(9/2)^2=0 so (x-5/2)^2=(9/2)^2 and taking square roots of each side we get: x-5/2=+9/2, from which x=5/2+9/2 and x=7 or -2 (also f(x)=(x-7)(x+2)). These are x intercepts and halfway between them at  x=5/2 (1/2 of 7+(-2)) and y=-81/4 is the vertex (in this case the lowest point with x=5/2 as the vertical axis of symmetry). This makes it easy to visualise and draw the graph. We can also work out the y intercept, when x=0. This is -14. All the points labelled fix the symmetrical parabola into position. The arms of the U spread apart and you can plot various values away from the zeroes to see what the spread is.

### find the dimensions of the rectangle with the largest area that can be inscribed in a semi-circle with a radius of 4

A parallelogram inscribed in a circle is a rectangle or a square.   The perpendicular bisector of two opposite sides of the rectangle corresponds to a diameter of the circle. So, a rectangle inscribed in a semicircle rests on the diameter. ( Proving things mentioned above is skipped in here.) Label each vertex of the rectangle A, B, C and D counterclockwise as placing base AB on the diameter and vertices C and D on the circumference. The midpoint of AB corresponds to the circle's center O. Let angle∠AOD=x (0 Read More: ...

### what two-dimensional figure has the same number of vertices as a trapezoid?

A rhombus, kite, quadrilateral, square, rectangle, parallelogram all have four vertices.

### how do find the size of sides in an octogon, when nothing is given?

how do find the size of sides in an octogon, when nothing is given? the size of the piece is 2.250x2.250. There are eight vertices in an octagon, so there are eight internal angles from the center to the vertices. Each angle is three hundred sixty degrees divided by eight, or forty-five degrees. We can use the tangent of half that angle to find the length of one half of a side of the octagon (as shown in the figure). The base of the angle is one half of the square that encloses the octagon. x / 1.125 = tan 22.5 x / 1.125 = 0.414213 x = 0.414213 * 1.125 x = 0.46599 The length of the side is twice that. s = 2 * x s = 2 * 0.46599 s = 0.93198