Eric Nicholas K's answer to Candice's Secondary 4 A Maths Singapore question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
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
Oops
360 Tutoring Program