8.G.B.8 Math Practice Questions — Sports Academy Games

Practice playeasy

What is the length of the vertical segment from $(5, -3)$ to $(5, 9)$ ?

Both points have $x = 5$ , so the length is $|9 - (-3)| = 12$ .

Practice playeasy

What is the distance from $(0, 0)$ to $(3, 4)$ ?

$\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ .

Practice playeasy

The distance between $(0, 0)$ and $(6, 8)$ is $d$ . What is $d^{2}$ ?

$d^{2} = 6^2 + 8^2 = 36 + 64 = 100$ .

Practice playeasy

How long is the segment joining $(-1, -5)$ and $(-1, 2)$ ?

Both points have $x = -1$ , so the length is $|2 - (-5)| = 7$ .

Practice playeasy

What is the distance from $(1, 2)$ to $(4, 6)$ ?

$\Delta x = 3$ , $\Delta y = 4$ . $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ .

Practice playeasy

What is the distance from $(0, 0)$ to $(5, 12)$ ?

$\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$ .

Practice playeasy

What is the distance from $(2, 3)$ to $(9, 3)$ ?

Both points have $y = 3$ , so the distance is $|9 - 2| = 7$ .

Practice playeasy

Two legs of a right triangle measure $6$ and $8$ . What is the hypotenuse?

$\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$ .

8.G.B.8 math practice. Learn by doing.