from the adjacent figure is pQ//yz give reason
Answers
Answer:
What is the measure of ∠ABC ? .... ∠OPT + ∠OQR = 180º (Sum of adjacent interior angles on the same side of ..... In the given figure, altitudes YZ and XT of ∆WXY intersect at P. Prove that, ... In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.
Given : XP = 2 cm , XQ = 3 cm , PY = 5 cm QZ = 4.5 cm
To Find : is PQ || YZ
Solution:
Thales theorem
if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same
Converse of same is also true
PQ || YZ
if XP/PY = XQ/QZ
XP = 2 cm
PY = 5 cm
=> XP/PY = 2/5
XQ = 3 cm
QZ = 4.5 cm
=> XQ/QZ = 3/4.5 = 1/3
2/5 ≠ 1/3
Hence XP/PY ≠ XQ/QZ
=> PQ is not parallel to YZ
PQ ∦ YZ
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