# Video: Naming Coordinates of Vertices of Isosceles Triangles

Give the coordinates of the vertices π΄ and πΆ.

01:49

### Video Transcript

Give the coordinates of the vertices π΄ and πΆ.

Before we give the coordinates of π΄ and πΆ, we need to identify what we know about this figure. Two sides, two adjacent sides, of this figure have equal lengths. In addition to that, thereβs a right angle inside this figure. Because thereβs a right angle in this closed four-sided figure, we know that all of the angles inside this figure are right angles.

And these two pieces of information confirm for us that this figure would be a square. Therefore, all four sides of this figure are equal. One of the coordinates is at the origin at zero, zero. And coordinate π΅ is at π΄. And that means it goes from zero to π΄. The length of this side is π΄ units, which makes the length of all of the sides π΄ units.

To label the vertices π΄ and πΆ, we need to find their π₯- and π¦-coordinates. π΄ is located π΄ units along the π₯-axis and π΄ units along the π¦-axis. The πΆ vertex is located at zero units left or right, zero units on the π₯-axis and π΄ units on the π¦-axis, π΄ units up. The two missing vertices can be labeled as π΄ π, π, and πΆ zero, π.