# What is a diagonal vertex of a square?

# Are the diagonals of a square always congruent?

Yes the diagonals of a square are always congruent. Their length is a*root 2 where a is the side of the square.

# How many diagonals can be drawn from one vertex of a regular octagon?

16 diagonals * * * * * 5. To all vertices except itself and one each on either side.

# Find the diagonal of a square?

Diagonal = sqrt (twice the square of a side) eg: square of side 8 units, d = sqrt(2 x 64) = sqrt 128 = 11.3137

# How do you find the diagonal of a square?

If you know the length of the side, multiply it by the square root of 2.

# Is the diagonal of a square the same as its side?

Not always, the diagonal can be figured out using the Pythagorean Theorem (aÃ‚Â²+bÃ‚Â²=cÃ‚Â²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.

# How many diagonals can be drawn from one vertex of a decagon?

i think 5 or 6 * * * * * The correct answer is Number of Vertices - 3 = 10 - 3 = 7

# Does a square have 4 vertexs?

Yes, a square has four vertices. A vertex is a point in which two or more lines intersect.

# A square has diagonals that are?

the squares diagonal are all congruent to each other, and the diagonals make 4 isoceles triangles.

# What are diagonals of a square?

Draw a line from one corner to its opposite corner. Repeat with the other two corners. The diagonals should be perpendicular to each other.

# How do you find out the length of a diagonal in a square?

Use Pythagoras. The diagonal, and two sides of the square form a right angled triangle. So if each side of the square is x cm long, the diagonal is x*sqrt(2) cm long.

# The diagonals of a square are perpendicular Explain?

A square is a plane (flat) shape whose boundaries are four straight lines of equal length such that these lines meet, in pairs, at four points (vertices). At these vertices they form angles of 90 degrees. The diagonals of the square are straight lines joining opposite vertices. These diagonals meet one another. The given statement means that the angles formed at the crossing points of the diagonals measure 90 degrees.

# How do you get diagonal measurement on a 12x12 SQUARE?

Use Pythagorean theorem ( a 2 + b 2 = c 2 ). The diagonal measurement is just under 17. 12 2 + 12 2 = c 2 144 + 144 = c 2 288 = c 2 c = SQRT288 = 16.9705627484771

# Are the diagonals of a square perpendicular bisectors?

The diagonals of a square are perpendicular (they intersect and form right angles). But they are angles bisectors since they bisect each pair of opposite angles. A perpendicular bisector actually bisects a side of a figure.

# What is the diagonal measurement of a 22x22 square?

In a right triangle, a 2 + b 2 = c 2 . So, the hypoteneuse, c = (a 2 + b 2 ) Ã‚Â½ . c = (22 2 + 22 2 ) Ã‚Â½ = 968 Ã‚Â½ = (11 2 x 2 3 ) Ã‚Â½ = 11 x 2 x 2 Ã‚Â½ = 22 x 2 Ã‚Â½ = 22 x 1.4142135623730950488016887242097... = 31.112698372208091073637151932613...

# Which of the quadrilateral have diagonals that bisect the vertex angles?

A square has diagonals that split the angles into two 45-degree parts, thus bisecting them.

# Does a square have two diagonals?

Yes. Think of a normal square. Now place an X in the centre of it. An X is two diagonals. When the X is placed in the square, the endpoints go from one corner to another. Therefore, a square has two diagonals.

# How many diagonals can be drawn from a vertex of an n-gon?

An n-gon has n(n-3)/2 total diagonals. You can draw n-3 diagonals from each vertex ( n>3) ( A triangle doesn't really have a diagonal) An alternative way of seeing this: from any vertex, you can draw a diagonal to any other vertex except itself and the immediate neighbour on either side (the latter would be sides of the n-gon). This gives n-3 diagonals.

# How many diagonals per vertex does an octagonal prism have?

(8^2)-3 = 64-3 = 61

# How long are the diagonal of a square?

Square root of 2 multiplied by the side of the square... by appying hypotaneos principle...

# Are diagonal of a square parallel?

No, absolutely not. Not only are they intersecting, they are perpendicular. Perpendicular means that they are at right angles to each other (90 degrees). In fact, any rhombus has perpendicular diagonals. A rhombus is any quadrilateral whose 4 sides are equal.

# How many vertexes does a square pyramid have?

A square pyramid has 5 vertices: 4 vertices form the square base which gives the shape its name, and the fifth at an apex above the base.

# How many diagonals can be drawn from any one vertex of a hexagon?

four * * * * * The correct answer is 3. You cannot have a diagonal from a vertex to itself, nor to either of the two adjacent vertices (these would form sides of the polygon). So 3 out of the other vertices cannot be used. In a hexagon, that leaves 3 that can be used. Hence the answer.

# What is the diagonal of an 18 inch square?

The diagonal of an 18 inch square is about 25.46inches . (18 times the square root of 2).

# Do the diagonals of a rectangle bisect the vertexes?

No. Draw a rect. with dimensions of 1" by 2''. Note the angle formed by the diagonals. Now lengthen the rect. to 1'" by 10". The angle formed by the base and the diag. has to be reduced in order for the diagonal to travel to the new corner (with the same rect. height). This is not an actual proof. You can calculate the angle but I am not certain you can do it with geometry--need trig. With trig., knowing the two sides (you know the hypotenuse with geometry too so you could use any of the trig functions), you can calculate the tangent of the angle in the 1"x2" rect, it is 0.5000. The length of the base increases by 8" for the second rect., which changes the value of the tangent (0.10000) which in turn changes the degree of the angle. The diag. of a square bisects the vertex but no so with rectangles.

# In square diagonal is equal to?

The diagonal of a square = the length of one side x the square root of 2 (approx 1.414)

# How are the diagonals of a square?

The diagonals of a square are congruent, bisect each other, perpendicular, and either diagonal's length is sqrt(2) times any side length.

# How many diagonals does a hexagon have from one vertex?

3. You cannot have a diagonal from a vertex to itself, nor to either of the two adjacent vertices (these would form sides of the polygon). So 3 out of the other vertices cannot be used. In a hexagon, that leaves 3 that can be used. Hence the answer.

# What is the diagonal of 16-gon from one vertex?

If you mean "How many diagonals can be drawn from one vertex of a figure with 16 sides", the formula is n-3, where "n" being the number of sides of the figure. So 16-3 = 13 diagonals that can be drawn from one vertex.

# Does the diagonal of a square have to bisect?

The following are all bisected by the diagonal of a square: .
The corner angles .
The surface of the square .
The other diagonal

# How many diagonals per vertex does a pentagonal prism have?

The number of diagonals per vertices can be found by taking n(number of sides) minus 3, or n-3. Thus a pentagonal prism will have 5 sides per base, making the formula 5-3=2. There are 2 diagonals per vertex in a pentagonal prism. Source: My math teacher

# Do the diagonals of a rhombus bisect the vertexes?

Vertex is the point where two rays of an angle or two edges of a geometric shape meet. Definition of a point: A point has no width, length and thickness. It is used to specify a specific location. A point can't be bisected because its length is zero. So, the statement : "diagonals of a rhombus bisect the vertices" is false.

# How many diagonal can be drawn from a regular hexagon from one vertex?

5 diagonals * * * * * That is not correct since two of these would be lines joining the vertex to adjacent vertices (one on either side). These are sides of the polygon, not diagonals. The number of diagonals from any vertex of a polygon with n sides is n-3.

# What is a diagonal of a square with a side of 40?

sqrt 3200 =sqrt 100 x sqrt 16 x sqrt 2 = 40 root 2 = approx 56.5

# How do you find diagonals of squares and rectangles?

They are the lines joining the opposite corners. To find them you will need to look for them!

# What is the area of a square if its diagonal is 6Cm?

The area of the square is 18 cm 2 .
The area of a square is: area = side 2 .
By Pythagoras: side 2 + side 2 = diagonal 2 Ã¢Â‡Â’ 2 side 2 = diagonal 2 Ã¢Â‡Â’ side 2 = diagonal 2 ÃƒÂ· 2 Ã¢Â‡Â’ area = diagonal 2 ÃƒÂ· 2 .
diagonal = 6cm, so: area = (6 cm) 2 ÃƒÂ· 2 Ã¢Â‡Â’ area = 18 cm 2 .

# Can 6 diagonals be drawn from one vertex of an octagon?

No, I think 5 diagonals would be the maximum from a particular vertex. Let's label the vertices [A through H]. For this example, they go clockwise, starting with A and going around to H, so looking at A: B & H are adjacent and both of the segments AB and AH are actually sides of the octagon, not diagonals. The remaining diagonals, from A are: .
AC .
AD .
AE .
AF .
AG

# How do you figure out a diagonal of a square?

By using the Pythagoras theory, which is a 2 + b 2 = C 2 A and B being each length and c being the diagonal.

# How many diagonals can be drawn from a vertex of an n gon?

n-3 diagonals. Of the n vertices of the polygon, you cannot drawdiagonals to the two adjacent vertices since these are sides of thepolygon and so not diagonals. And you cannot draw a diagonal from avertex to itself. So those are three vertices that are ruled out,leaving n-3.

# What path does a vertex of a square trace?

It depends on what the motion is. If the square is sliding along a straight line then the path of the vertex is a straight line. If the square is rotating, the answer will vary according to the location of the centre of rotation.

# Where do the diagonal lines on a square men?

Men are not square and they do not have diagonal lines on them. Please check that your questions make at least some sense before posting them!

# What is primitive of square with diagonal of 18?

Suppose the side of the square is s, then length of diagonal = s*sqrt(2) s*sqrt(2) = 18 so s = 18/sqrt(2) = 12.7 units.

# How do you work out diagonal of a square?

It is the longest distance between two opposite corners of the square and it is possible to use Pythagoras' theorem to find the length of the diagonal

# What is the diagonal of square with a side of 80?

By the Pythagorean theorem, the diagonal length of a square with a side length of 80 units is Ã¢ÂˆÂš[2(80) 2 ] = 80Ã¢ÂˆÂš2 units.

# What is the number of diagonals drawn from one vertex on a 13-gon?

There are 10 possible diagonals drawn from one vertex of the 13-gon which divide it into 11 nonoverlapping triangles.

# What is the number of diagonals drawn from one vertex on a heptagon?

a heptagon has 7 sides. you cannot draw a diagonal to the 2 adjacent vertices, so 7-2 = 5. there would be 5 diagonals.

# Is the diagonal of a square irrational?

Not necessarily. If the sides are a multiple of sqrt(2) units, then the diagonal is rational.

# What is the diagonal measurement of a 12ftx12ft square?

Using Pythagoras: theorem it is 12 times the square root of 2 which is about 17 feet rounded to the nearest integer

# What is the diagonal measurement of a 10x10 square?

Using Pythagoras' theorem it is: 10 times the square root of 2 which is about 14.142 to 3 decimal places.

# What shapes have diagonals bisect vertex angles?

Only a square and a rhombus will have all its diagonals bisecting vertices. In other shapes some - but not all - diagonals can bisect vertices.

# Diagonal of a square?

A square has 2 diagonals that are equal in length and bisect each other at right angles.