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the segments ab and cd are graphed on a coordinate plane. The endpoints of ab are at (9,4) and (9,20). CD is parallel to the x-axis, and one of its endpoints is at (5,8). if ab=cd and cd is entirely in the first quadrant, what is the other endpoint of cd

User Halorium
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1 Answer

27 votes
27 votes

Answer:

21, 8

Explanation:

The second endpoint is of the form (X, 8) since it's parallel to the x axis.

Given the congruence of the two segments, we can tell that its length is 16 units (since
|4-20| = |-16|= 16)

At this point the two possible endpoints for the segment are
(5-16; 8) or
(5+16, 8). The fact that the segment has to sit in the first quadrant rules out the first option (it's endpoint will be at (-11, 8) which will set most of it in the second quadrant) and we're left with (21, 8)

User Reyn
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2.6k points
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