Distance Formula

The points P(3, –2), Q(10, –2), and R(3, –8) are the vertices of a triangle. What is the approximate length of side RQ?

• 7 units

• 9 units

• 11 units

• 13 units

What is the length of line segment XY on the graph below?

• $\sqrt{20}units$

• $\sqrt{50}units$

• $\sqrt{104}units$

• $\sqrt{136}units$

What is the distance between the points (–2, 1) and (10, –4)?

• 8.5 units

• 8.9 units

• 12.0 units

• 13.0 units

Right triangle RPQ has vertices at R(1, –2), P(1, –5), and Q(5, –5). What is the length of line segment RQ?

• 2.6 units

• 5 units

• 7 units

• 25 units

Triangle PQR is shown below. What is the approximate perimeter of triangle PQR?

• 12.2 units

• 13.2 units

• 15.7 units

• 24.7 units

Triangle JKL is located on the coordinate plane at J(–1, 2), K(–1, –1), and L(3, –1). What is the perimeter of triangle JKL?

• 5 units

• 11 units

• 12 units

• 15 units

Triangle PQR is shown in the graph below. What is the length of QR?

• 
  

  $\sqrt{113}units$
  

• $\sqrt{143}units$

• $\sqrt{145}units$

• $\sqrt{169}units$

Line segment EG has endpoints E(–3, 1) and G(2, –5). What is the approximate length of EG?

• 3.3 units

• 6.1 units

• 7.8 units

• 11.0 units

What is the approximate distance between point S and point T on the graph below?

• 5 units

• 6 units

• 8 units

• 9 units

The endpoints of a line segment are located at (–1, –2) and (9, 12). What is the approximate length of the line segment?

• 12.8 units

• 13.2 units

• 15.8 units

• 17.2 units