A square rotated about its center by 360º maps onto itself at: a) 1 B) 2 C) 3 D) 4 different angles of rotation. You can reflect
2 answers:
Answer: A square rotated about its center by 360º maps onto itself at D) 4 different angles of rotation. You can reflect a square onto itself across B) 4 different lines of reflection.
Step-by-step explanation:
A square is a geometric figure which has all its four sides equal and all its interior angles are right angles( ) .
Therefore, it can be rotated about its center by .
It maps onto itself at 4 different angles of rotation ( at every ).
We can reflect a square onto itself across 4 different lines of reflection (2 across the non-parallel sides and 2 across the vertices of the square).
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The area of a traingle is 
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same
a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²=
a=
A=
A=
A=
××
A=×
A=
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same
a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²=
a=
A=
A=
A=
A=
A=
Answer:
x ≈ 7.2
Step-by-step explanation:
Given a tangent- secant from an external point to the circle, then
the the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 4(4 + 9) = 4 × 13 = 52 ( take the square root of both sides )
x = ≈ 7.2 ( to the nearest tenth )