Answer:
Point R is closer to Q.
Explanation:
Correct Question Statement:
Given PQ and point R that lies on PQ such that point ???? lies 7 / 9 of the length of PQ from point P along PQ:
a. Sketch the situation described.
b. Is point R closer to P or closer to R, and how do you know?
c. Use the given information to determine the following ratios:
i. PR: PQ
ii. RQ: PQ
iii. PR: RQ
iv. RQ: PR
d. If the coordinates of point P are (0, 0) and the coordinates of point R are (14, 21), what are the coordinates
of point Q.
ANSWER
a. PQ is the line as shown below:
P_______R__Q
Point R lies at 7/9 means if PQ is divided in 9 parts then R lies at 7th place.
b. point R is closer to Q as shown above.
c. Ratios:
i. PR:PQ = 7:9.
ii. RQ:PQ = 2:9
iii. PR:RQ = 7:2.
iv. RQ:PR = 2:7.
d. Suppose coordinates of Q are (x,y)
7/9 of x is 14 → (7/9)*x = 14 → x =
= 18
7/9 of y is 21 → (7/9)*y =21 → y =
=27
Thus, Q(18,27) are required coordinates.