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3 years ago

Compare and contrast a perpendicular and a perpendicular bisector.

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

Answer:

Answer. Segment joining a vertex to the mid-point of opposite side is called a median. Perpendicular from a vertex to opposite side is called altitude. A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.

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aalyn [17]

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc EH

Remember that the measure of the complete circle is equal to 360 degrees

$arc\ EH+arc\ EF+arc\ FG+arc\ GH=360^o$

Remember that

$arc\ EF=m\angle EDF$ ----> by central angle

$arc\ FG=m\angle FDG$ ----> by central angle

$arc\ GH=m\angle GDH$ ---> by central angle

substitute the given values

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$arc\ EH=360^o-235^o=125^o$

step 2

Which arc is congruent to Arc E H?

we know that

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therefore

arc EH is congruent with arc EFG

arc EH is congruent with minor arc GE

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We have that
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