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45 votes
45 votes
Which line segments are equal? How do you know?

Which line segments are equal? How do you know?-example-1
User Foldl
by
3.2k points

1 Answer

11 votes
11 votes

Answer:

MQ and QP are equal, MO and OP are equal, x=2

Explanation:

QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!

User Burgerhex
by
3.1k points
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