<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.
Answer:1/8
Step-by-step explanation:
well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8
Step-by-step explanation:
try this option, all the details are in the attachment.
Answer:
602.6
Step-by-step explanation:
The six is in the hundreds place. Since no number is specified for the tens, a 0 goes there as a placeholder. The two, since it has no tag, is assumed to go in the ones. Another six goes in the tenths place after the decimal.
Answer:
y = 5x
Step-by-step explanation:
The equation for direct variation is y = kx, where k is the factor of variation. So we know that y and x must fit into this formula.
They've given us a y and x value to solve for k.
y = kx
15 = 3k
15/3 = k
<u>k = 5</u>
Plug k back into our equation.
y = 5x
