Vertices of the Polygon

[nycmathdad]

Show that the points form the vertices of the
polygon.

26. Right triangle: (−1, 3), (3, 5), (5, 1)
28. Isosceles triangle: (2, 3), (4, 9), (−2, 7)

I am thinking the distance formula for points applies here.

 

[nasi112]

Your thinking is correct. You can also plot the points on the cartesian coordinate, then connect them together. They will form triangles.

 

[nycmathdad]

Your thinking is correct. You can also plot the points on the cartesian coordinate, then connect them together. They will form triangles.

Very good. This is just a review of algebra. I would hate to forget what has taken me years to SOMEWHAT understand.

 

[jalexandre]

Yes, you could use the distance formula to find the lengths of each side of the triangles.

Then, for #26 you could check that the side lengths satisfy the Pythagorean Theorem. If they do, then you have proved that it is a right triangle. For #28, you can simply show that two sides of the triangle are congruent.

 

[nycmathdad]

Yes, you could use the distance formula to find the lengths of each side of the triangles.

Then, for #26 you could check that the side lengths satisfy the Pythagorean Theorem. If they do, then you have proved that it is a right triangle. For #28, you can simply show that two sides of the triangle are congruent.

I have my math work cut out for me.