<h3>
Answers:</h3>
- a) HR = 24
- b) AT = 32
- c) MR = 29
- d) R is the midpoint of <u> MH </u> and <u> AT </u>
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Explanation:
a)
MR = 24 is given. Note the single tickmark on this segment. The other segment HR has the same tickmark, so it is the same length as MR.
HR = MR = 24
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b)
The double tickmarks tell us TR and RA are the same length. They combine to form segment AT. So this means segment AT is cut in half to get TR and RA.
TR = (1/2)*(AT)
2*TR = AT.... multiply both sides by 2
AT = 2*TR
AT = 2*16
AT = 32
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c)
MH is cut in half at point R for similar reasoning as part b)
Put another way, MH is twice as long as MR.
MH = 2*MR
58 = 2*MR
2*MR = 58
MR = 58/2
MR = 29
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d)
R is the midpoint of segment MH because R cuts MH in half. Point R bisects MH.
R is also the midpoint of AT for similar reasoning. It's all based on the tickmarks telling us which segments are congruent to one another.
