The coordinates of quadrilateral PQRS are P(0, 0), Q(a + c, 0), R(2a + c, b), and S(a, b). How can you use coordinate geometry t

Question

In-s [12.5K]

3 years ago

6

The coordinates of quadrilateral PQRS are P(0, 0), Q(a + c, 0), R(2a + c, b), and S(a, b). How can you use coordinate geometry t

o show that one pair of opposite sides is parallel?

Mathematics

2 answers:

Flauer [41] · Answer 1 · 2021-12-05T15:40:36+03:00

We will use the formula for the slope:
m = ( y2- y1 ) / ( x2 - x1 )
For PQ : m = ( 0 - 0 ) / ( a + c - 0 ) = 0
For RS : m = ( b - b ) / ( a - ( 2a + c )) = 0
Both slopes are m = 0, so PQ and RS are parallel to x - axis and at the same time parallel to each other ( PQ | | RS ). One pair of opposite sides is parallel.

murzikaleks [220] · Answer 2 · 2021-12-05T17:42:33+03:00

murzikaleks [220]3 years ago

3 0

Answer:

Apply the Distance Formula to show that opposite sides pq and rs are congruent