Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Answer:
Sales are (increasing/decreasing)…. _____….(purchases, purchases/month, months/purchases, $/purchases, purchases/$, $, months)
D. (January, February, March, April, May, June, July, August, September, October, November, December)
<span>C = 2*pi*r
C = 2*pi*7
Exact Circumference: C = 14pi inches
C = 14*3.14
Approximate Circumference: C = 43.96 inches </span>
A ) P = 6 * 0.5 = 3 m ( correct )
B ) Apothem = 0.5 * √3 / 2 = 0.433 m = 43.3 cm ( correct )
C ) A = 6 * 0.5² √3 / 4 = 0.649519 m² ≠ 1.299 m² ( false )
D ) r = 0.5 m ( correct )
Answer: C ) is false
