Pythagorean Theorem, Distance and Midpoint

Find the length of the unknown side (Hint: use Pythagorean Theorem) a = 6, b= 8

• c = 8

• c = 9

• c = 10

• c = 12

Find the length of the third side. a = 18, c = 30

• b = 20

• b = 22

• b = 24

• b = 26

Find the length of the third side. a = 2, c = 8

• b = 4

• $b\ =\ 4\sqrt{2}$

• $b\ =\ \sqrt{12}$

• $b=2\sqrt{15}$

A right angle = ?

• 45 $\degree$

• 90 $\degree$

• 180 $\degree$

• 0 $\degree$

A statement that has been proven to always be true is called a _____________________.

• formula

• hypothesis

• statement

• theorem

Is a triangle with the given lengths of the sides 27, 36 and 45 a right triangle?

• yes

• no

Find the distance between the given pair of points (-3, -1) and (2, -13).

• 10

• 11

• 12

• 13

Find the distance between the given pairs of points (1, 8) and (4, -1)

• $3\sqrt{10}$

• $\sqrt{30}$

• $\sqrt{6}$

• 12

Find the midpoint of a segment with the given endpoints (5,2) and (-7,4)

• (2,6)

• (6,-2)

• (-3,-1)

• (-1,3)

Find the midpoint of a segment with the given endpoints (2,4) and (6,6).

• (10,8)

• (8, 10)

• (4,5)

• (-4, -5)