Complete question is;
RS is the perpendicular bisector of PQ . Point T is the midpoint of PQ. Point U lies on RS. If the length of UP is 7 units, the length of UQ is ______ units.
Triangle is attached
Answer:
UQ = 7 Units
Explanation:
From the image attached, we can see that;
T is the midpoint of PQ
Thus;
PT = TQ
Since RS is perpendicular to PQ, then we can say that;
∠PTU = ∠QTU
Now, from SAS congruence theorem, we can say that;
△PTU = △QTU
Thus, from corresponding sides of both triangles, we can say that;
UP = UQ
Thus,
UQ = 7 Units