Question

How can you prove a triangle is an equilateral triangle?

Use the distance formula to see if at least two sides are congruent.

Use the slope formula to see if any sides are perpendicular.

Use the distance formula to see if all three sides are congruent.

Use the slope formula to see if any sides are parallel.

Answer 1

what defines an equilateral triangle?

Answer 2

it has three = sides and angles of 60

Answer 3

good, then i would focus on trying to define the equality of the 3 sides

which option relates to 3 sides being equal?

Answer 4

the third one.

Answer 5

i agree. thats the one I would go with :)

Answer 6

ok thank you :)
would this make a square?
(1, 1), (1, 4), (5, 4), (5, 1)

Answer 7

maybe.... if it has 4 equal sides and 4 right angles

Answer 8

one thing we can do is to move the points by -1,-1

(1, 1), (1, 4), (5, 4), (5, 1)
-1,-1 -1,-1 -1,-1 -1,-1
------------------------
0,0 0,3 4,3 4,0

makes it easier to compare

Answer 9

it looks to be 4 tall and 3 wide, can that make a square?

Answer 10

a rhombus?

Answer 11

nope

Answer 12

a rectangle.

Answer 13

yes

Answer 14

ok thank you i see it now.

Answer 15

:) good luck

Answer 16

thanks.