B) to draw arcs of a given size
C) to draw perpendicular lines
D) to draw straight lines
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
In geometry, a compass is a tool for drawing circles and arcs.
It consists of two arms, one with a pointed end and the other with a pencil or pen.
We have,
A compass is a tool used for drawing circles and arcs.
By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.
While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.
Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.
Thus,
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
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The value of 6P6 permutation is 720 .
To calculate the value of 6P6 ( permutation of 6 objects taken 6 at a time ), we can use the formula :
nPn = n !
where n is the total number of objects .
In this case, n = 6. So, substituting it into the formula :
6P6 = 6 !
Calculating the factorial of 6 :
6! = 6 × 5 × 4 × 3 × 2 × 1
= 720
Therefore, the value of 6P6 is 720 .
Hence, the correct answer is C . 720 .
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