Question

math menu: windowpane
need 12 points total
date:
3pts
complete the following statements.
a) mr = 24, hr = ____ b) tr = 16, at = ____
c) mh = 58, mr = ______
d) r is the mid - point of ____ and ____.

Explanation:

Step1: Recall mid - point property

If a point is a mid - point of a line segment, it divides the segment into two equal parts.

Step2: Solve part a

Since \(R\) is the mid - point of \(MH\), if \(MR = 24\), then \(HR=MR = 24\) because \(MR = HR\).

Step3: Solve part b

Since \(R\) is the mid - point of \(TA\), if \(TR = 16\), then \(AT=TR = 16\) because \(TR = AT\).

Step4: Solve part c

Since \(R\) is the mid - point of \(MH\) and \(MH=58\), then \(MR=\frac{MH}{2}=\frac{58}{2}=29\).

Step5: Solve part d

From the figure and mid - point property, \(R\) is the mid - point of \(MH\) and \(TA\).

Answer:

a) 24
b) 16
c) 29
d) \(MH\), \(TA\)