Answer:
A. True
B. True
C. False
D. True
Step-by-step explanation:
Answer:
Time taken for each lap = 3/8 of an hour
Step-by-step explanation:
Given:
Time taken for 4 laps =
= 3/2 hours
Find:
Time taken for each lap
Computation:
Time taken for each lap = Time taken / Number of laps
Time taken for each lap = (3/2) / 4
Time taken for each lap = 3/8 of an hour
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.