Question

Find the missing coordinates for the parallelogram.Plb, c))R(?, ?)그0 710,0)Sla, ?)R=(S= (a,Word Bank:a-ba a+c0 Cb a+bBlank 1:Blank 2:Blank 3:

Answer 1

R ( a+b, c)

S (a, 0)

1) Examining the picture, we can sketch out and state the following noticing that point P and R are on the same line, and Point T and S are on the same line either.

2) Since P and R are on the same line, they share the y-coordinate so we can write out: P(b, c) and R ( a+b , c)

Similarly, T and S are on the same line so S(a, 0) for point S does not have " height". So they share the y-coordinate as well.

Note that a is from the origin to point a.

So to find out the x-coordinate from R we need to add to the x-coordinate form S, the same distance from the origin to P. So

R( a+b, c) for the sides of a parallelogram are congruent.

3) Hence, the answer is:

R ( a+b, c)

S (a, 0)