Show:
Distance
Midpoint
Pythagorean Theorem and Square Roots
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
100
True or False: All square roots are irrational.
False, perfect squares are rational
200
What is the distance between (8,11) and (8,4)?
7
200
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
200
List the first 7 perfect squares in order.
1,3,9,16,25,36,49
300
Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.
√29 or 5.39
300
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
300
Find the hypotenuse. legs: 5,6.5; Round to the nearest tenth.
8.2
400
Find the perimeter of the triangle and classify triangle ABC as scalene, isosceles, or equilateral A(3,1), B(4,2), C(1,3). Round to the nearest tenth.
scalene, Perimeter 7.4
400
Find the other endpoint of the line segment with endpoint (-4,2) and midpoint (-1.5,-1)
( 1, - 4 )
400
Do these lengths form a right triangle? 12,16,20?
Yes because 144 + 256 = 400
500
Find the perimeter and classify triangle ABC as scalene, isosceles, or equilateral A(-4,3), B(4,3), C(0,4)
isosceles, 16.2
500
Find the other endpoint: endpoint (2,-1) midpoint: (-4,3)
(-10,7)
500
Find the missing leg of a triangle with a hypotenuse of 12 and a leg of 8. Round to the nearest tenth.
8.9