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is the perpendicular bisector of . Point T is the midpoint of . Point U lies on . If the length of is 7 units, the length of is how many units?

User TuxSlayer
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2 Answers

17 votes
17 votes

Answer:

7 units

Explanation:

User Mlibby
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10 votes
10 votes

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

is the perpendicular bisector of . Point T is the midpoint of . Point U lies on . If-example-1
User Chichilatte
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