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secondary 4 | A Maths
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Good morning! How do i solve this?
Date Posted: 4 years ago
Views: 203
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Good morning Candice! Here are my workings for this question.
Date Posted:
4 years ago
i)
S and M are the midpoints of PQ and PT respectively.
Since the Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side,
SM // QT and SM = ½ QT.
The rest can be done by showing AA similarity i.e Eric's working. (Which is actually the midpoint theorem again)
S and M are the midpoints of PQ and PT respectively.
Since the Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side,
SM // QT and SM = ½ QT.
The rest can be done by showing AA similarity i.e Eric's working. (Which is actually the midpoint theorem again)
By the way, the property to justify that the PSM = PTQ and PMS = PQT should be corresponding angles instead of alternate angles.
Oh i see! Thank you :)
Welcome. Oh yes, same goes for the next few angles. SMR = UTR and MSR = TUR. Corresponding instead of alternate angles
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