Question

CHECK ALL OF THE ONES THAT APPLY AS CORRECT ANSWERS!!! NOT JUST ONE!!!

Four points are graphed in the diagram. Which correctly describe the distances between the points in the graph? Check all that apply.


A coordinate plane with 4 points graphed. Point P is negative 2, 3. Point Q is 4, eleven. Point R is twelve, 3. Point S is 9, negative 1.


( ) PQ = 8



( ) PQ = 10



( ) QS = 12



( ) QS = 13



( ) SR = 5



( ) SR = 6

Answer 1

PQ = √((-2 - 4)² + (3 - 11)² = √((-6)² + 8²)

= √(36 + 64) = √100 = 10

QS = √((4 - 9)² + (11 - (-1))²) = √((-5)² + 12²)

= √(25 + 144) = √169 = 13

RS = √((12 - 9)² + (3 - (-1))²) = √(3² + 4²)

= √(9 + 16) = √25 = 5

PQ = 10, QS = 13, SR = RS = 5