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SSSSS [86.1K]
3 years ago
9

Andrew is writing a coordinate proof to show that the triangle formed by connecting the midpoints of the sides of an isosceles t

riangle is itself an isosceles triangle. He starts by assigning coordinates as given.

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0
Coordinates of P: (a,b)
coordinates of Q:(3a,b)
coordinates of R:(2a,0)

i jus got a 100% on the quiz
ivanzaharov [21]3 years ago
5 0

Answer: Coordinate of P = (a,b)

Coordinate of Q = (3a,b)

Coordinates of r= (2a,0)


Step-by-step explanation:

Andrew draw mid points P,Q and R on the sides of triangle DEF at DE,DF and EF respectively.

To fill the boxes we need to find the coordinates of the midpoints

As P is the mid point of DE then  coordinate of P =(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{2a+0}{2},\frac{2b+0}2{})=(a,b)

Similarly Q is the midpoint of DF then coordinates of Q=(\frac{2a+4a}{2},\frac{2b+0}2{})=(3a,b)

Now, R is the midpoint of EF then coordinates of r ==(\frac{4a+0}{2},\frac{0+0}2{})=(2a,0)

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