Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis t
o form point C. Then, point A is reflected over both axes to form point D. The four points become vertices of a quadrilateral. What is the most precise name for the quadrilateral formed, and how do you know?
1 answer:
Answer:
Rectangle
Step-by-step explanation:
Well if point A is on (2,3) and you reflect it over the x axis point B would be located at (2,-3).
Then over the y axis point C would be located at (-2,-3), then reflecting that over the x axis point D is (-2,3)
<em><u>Points</u></em>
__________
A. (2,3)
B. (2,-3)
C. (-2,-3)
D. (-2,3)
__________
So graphing all these points we get a rectangle.
Because it has 4 sides that are 90 degrees and the sides opposite from each other are the same.
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Answer:
a) ∝A ∈ W
so by subspace, W is subspace of 3 × 3 matrix
b) therefore Basis of W is
={
}
Step-by-step explanation:
Given the data in the question;
W = { A| Air Skew symmetric matrix}
= {A | A = -A^T }
A ; O⁻ = -O⁻^T O⁻ : Zero mstrix
O⁻ ∈ W
now let A, B ∈ W
A = -A^T B = -B^T
(A+B)^T = A^T + B^T
= -A - B
- ( A + B )
⇒ A + B = -( A + B)^T
∴ A + B ∈ W.
∝ ∈ | R
(∝.A)^T = ∝A^T
= ∝( -A)
= -( ∝A)
(∝A) = -( ∝A)^T
∴ ∝A ∈ W
so by subspace, W is subspace of 3 × 3 matrix
A ∈ W
A = -AT
A =
=
therefore Basis of W is
={
}